financial management scdl
DESCRIPTION
Financial Management SCDLTRANSCRIPT
1
Financial managementFinancial management
By Prof. Augustin Amaladas
M. Com., AICWA., PGDFM., B.Ed.
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*11.CAPITAL BUDGETING*11.CAPITAL BUDGETING
*9.LEVERAGES*9.LEVERAGES
*8.CAPITAL STRUCTURE*8.CAPITAL STRUCTURE
*7.SOURCES OF LONG *7.SOURCES OF LONG TERM AND MEDIUM TERMTERM AND MEDIUM TERM
*5.CASH FLOW STATEMENTS*5.CASH FLOW STATEMENTS
5.FUND FLOW STATEMENT5.FUND FLOW STATEMENT
*4.RATIOS*4.RATIOS
*10.CAPITAL mARKET*10.CAPITAL mARKET
*3.FINANCIAL STATEMENTS*3.FINANCIAL STATEMENTS
*2.FORMS OF BUSS.ORG.*2.FORMS OF BUSS.ORG.
1.FINANCIAL FUNCTION1.FINANCIAL FUNCTION
*6.CAPITALISATION*6.CAPITALISATION
*13.CASH MANAGEMENT*13.CASH MANAGEMENT
*14.RECEIVABLE*14.RECEIVABLEMANAGEMENTMANAGEMENT
*15.INVENTORY*15.INVENTORYMANAGEMENTMANAGEMENT
*16.DIVIDEND *16.DIVIDEND POLICYPOLICY
*12.WORKING CAPITAL*12.WORKING CAPITALMANAGEMENTMANAGEMENT
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Welcome by SCDL to AZtecsoftWelcome by SCDL to AZtecsoft
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MANAGEMENT PROCESSES,
DEFICIENCY FINDINGMANAGEMENT AUDIT MANAGEMENT PLANNINGMANAGEMENT SERVICES PLANNING AND CONTROL SYSTEMSMANAGEMENT ACCOUNTING TAX PLANNING, TAX ADVICINGTAX ACCOUNTING
GOVERNMENT ACCOUNTINGCOST STANDARD, COST REVENUE
ANALYSIS, COST ANALYSIS, COST AND
PRODUCTION STATISTICS COST ACCOUNTING
PRINCIPLES OF FINANCIAL REPORTING, AUDITING STANDARDS,
UNIFORM STATEMENTS,AUDITING OF RECORDS AND
STATEMENTS
FINANCIAL AUDITINGCOMPUTERS, PUNCHED CARD RECORDS,TAX
RECORDS, INCOME STATEMENT ANALYSIS,
BALANCE SHEET EMPHASISBOOK KEEPING(SINGLE ENTRY AND DOUBLE ENTRY )1775 1800 1825 1850 1875 1900 1925 1950 1975 1985 1990 1995 2005
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• COST MANAGEMENT:•
ACTIVITY BASED ACCOUNTING, LIFE CYCLE
COSTING,
VALUE CHAIN ANALYSIS,
TARGET COSTING, KAIZEN COSTING
RESPONSIBILITY ACCOUNTING,CURRENT COST ACCOUNTING, INFLATIONARY ACCOUNTING
EDP ENVIRONMENTAL AUDITHUMAN BEHAVIOUT, MANPOWER VALUES, INTER GOVERNMENTAL RELATIONS
SOCIAL ACCOUNTINGTOTALSYSTEMS PLANNING,
INTER DECIPLINARY APPLICATIONS
TOTAL SYSTEM RECVIEW EFFECTIVENESS AUDITING
EFFECTIVENESS EVALUATIOn COMPUTERS CYBERNETICS
INFORMATION SYSTEMS ORGANISATIONAL MODEL,
ORGANISATIONAL PLANNING, DECISION THEORY, COST BENEFIT ANALYSIS
MANAGEMENT SCIENCES
1775 1800 1825 1850 1875 1900 1925 1950 1975 1985 1990 1995 2005
GROWTH OF ACCOUNTABILITYKNOWLEDGE:FINANCIAL ACCOUNTING
Cost accounting,Management Accounting
Tax accounting and Management
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FLOW OF CASH/SHORT TERM FLOW OF CASH/SHORT TERM AND LONG TERMAND LONG TERM
information
Accounts payable
RAW mATERIAL
ADRBonds(281)Preference
Shares
Bad debts
Accounts receivable
DebtorsWork in progress
information
OverheadsLabour
Equity shares
CASH
GDR
informationIn
form
ati
on
Rights issueRights issue
Leasing/Hr.PurLeasing/Hr.Pur
Reserves Reserves
Public depositsPublic deposits
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FLOW OF CASH - LONG FLOW OF CASH - LONG TERMTERM
ADRLong term loansPreference
SharesEquity shares
CASHShort term
GDR
land
furniture
investments
goodwill
building
Patent rightsKnow how
Copy right
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FLOW OF CASH-SHORT FLOW OF CASH-SHORT TERMTERM
information
Accounts payable
RAW mATERIAL
Bad debts
Accounts receivable
DebtorsWork in progress
information
OverheadsLabour
informationIn
form
ati
on
Discounting billscreditorsCash credit Sale of investments
Bad debts
Bad debts
Issue of long term fundsSale of fixed assets
Bank overdraft
cash cashCommerCommer
Cial papersCial papers
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Working capital finance(361)Working capital finance(361)
Inter corpoInter corpoRate depositsRate deposits
Trade creditTrade credit
Bills discountsBills discounts
Outstanding Outstanding ExpensesExpenses
Cash creditCash credit
Packing creditPacking credit
overdraftoverdraftLetter of creditLetter of credit
loanloan
CommercialCommercialpaperspapers
pledgepledge
HypothecationHypothecation
lienlien
mortgagemortgage
1.Spontaneous1.Spontaneous 2.Bank guarantee2.Bank guarantee 3.Fund based3.Fund based 4.Security4.Security
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Users of information and goalsUsers of information and goals
organisation
shareholders
public
Benefactors
governmentbanks
Debenture holders
Loan vendor
Preference shareholderscreditors debtors
customers
dividend
liquidity
Dividend/value in the share market
Interest/return of capital
Interest/return of capital
Timely payment Timely supply
Good product
Less pollution
Good name
tax
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The Position of Capital Budgeting
Capital Budgeting
L o n g T e rm A sse ts S h o rt T e rm A sse ts
Investm ent D ecison
D e b t/E qu ity M ix
Financing D ecis ion
D iv id en d P a yo ut R a tio
D ividend D ecis ion
Financial Goa l of the F irm :W ealth Maxim isation
Page-3
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Scope of Financial ManagementScope of Financial Management
CapitalCapitalBudgetingBudgeting
Management of Management of Mergers, reorganisationMergers, reorganisation
FinancingFinancingFinancialFinancialAnalysisAnalysis
Management ofManagement ofCurrent AssetsCurrent Assets
Method ofMethod ofRaising fundsRaising funds
ImplementationImplementation
DetermineDetermineFinancing mixFinancing mix
FinancialFinancialControlControl
ReceivablesReceivablesSelectionSelection
IdentificationIdentificationMarketableMarketableSecuritiesSecurities
CashCash
FinancialFinancialForecastingForecasting
InventoryInventoryManagementManagement
SourceSourceidentificationidentification
ProfitProfitplanningplanning DividendDividend
policypolicy
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Role of Finance in a Typical Role of Finance in a Typical Business Organization-page- 9Business Organization-page- 9
Board of Directors
President
VP: Sales VP: Finance VP: Operations
Treasurer Controller
Credit Manager
Inventory Manager
Capital Budgeting Director
Cost Accounting
Financial Accounting
Tax Department
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Unit-2 Forms of Business Unit-2 Forms of Business organisationorganisation Sole trading Partnership Companies
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My business!! My family?My business!! My family?
What will happen if this deal does not materialise?
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PartnershipPartnership
h
Should we build this
plant?
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Ulta pultaUlta pultaCompany Company Ltd.???Ltd.???
Min
i com
pute
r
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Nature of Financial Nature of Financial Statements-Page-30Statements-Page-30
Financial accounting
1. Introduction
2. BasicAccounting
3. Process ofaccounting
4. BRS
5. Rectification ofErrors
Final accounts
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Unit-3 Financial statementsUnit-3 Financial statements
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Chapter-2: Basics of financial Chapter-2: Basics of financial accountingaccounting 1.Concepts 2.system of accounting 3.Types of Expenditure 4.Terms used in financial accounts 5.Double entry / Single entry 6. Depreciation methods 7. Practical consideration relating to
depreciation
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1.concepts& conventions1.concepts& conventions Meaning: Basic assumptions upon which the basic
process of accounting based. a] Business entity concept- b] Dual aspect concept c] Going concern concept d] Accounting period concept e] Cost concept f] Money measurement concept g] Matching Concept
• ConventionsCoservativismMaterialityConsistency
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a] Business entity concept-a] Business entity concept-
Business is different from the owner We pass Journal entry when owner
contributes towards capital. When amount / goods withdrawn for personal
use we make an entry in the business When Income tax paid by the owner out of
business money we make an entry In the books of accounts.
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b] Dual aspect conceptb] Dual aspect concept
Every debit has equal amount of credit Asset =Liability Liability creates asset If asset>Liability= profit If Liability> Assets= loss
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c] Going concern conceptc] Going concern concept
Business will go for at least for a reasonable period.
Depreciation is provided based on this assumption.
If this assumption is not made all Fixed assets will be valued at realised value like current assets.
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d] Accounting period conceptd] Accounting period concept
Fixing time limit for accounts Profit for the period It can be one week or two weekor 6
months/one year or 5 years But to find profit we normally consider
12 months period Financial year for income tax point of
view 1st April-31st March of the following year
Calendar year –January to December Divali to Divali
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e] Cost concepte] Cost concept The cost to the organisation (Actual) is
recorded in the books Assets are not recorded according to the
market price every year. Depreciation is calculated on cost not
based on market price Accounting records may not show the
real worth of the business Market price may be disclosed with in
bracket in the balance sheet
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ExerciseExercise
Accounting Test Question SV No.1:Company XYZ uses a perpetual inventory system. Append below the following transaction relating to its merchandise inventory during the month of Nov’06
Date:Transaction Nov 1 inventory on hand - 3,000 units @ $8 each Nov 7Bought 5,000 units for $8.40 each Nov 13Sold 4,000 units for $14.00 each Nov 17Bought 6,000 units for $8.20 each Nov 24Sold 7,000 units for $14.00 each Nov 30Inventory on hand -3000 units
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Required: Compute the inventory balance Company XYZ would report on its November 30 2006 balance sheet and the cost of goods sold for the period of November 2006 income statement using each of the following inventory methodology:
(1) First-in, first-out (FIFO) 2) Last-in, first-out (LIFO) (3) Average cost[ Refer Answer ]
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f] Money measurement conceptf] Money measurement concept
Every thing which can be expressed in terms of Money is recorded in the books
Beautiful women are working /Handsome boys working in AZTEC /Efficient engineers worth Rs.5000 crores –How do you record?.
Good working environment? Highly motivated employees?
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g] Matching Conceptg] Matching Concept
Matching Cost with revenue It is used to estimate correct profits Accrual/ cash basis of accounting
– Even cash paid /received if it belongs to accounting period we consider them as expenditure /income
– Salary outstanding for the last month?
– Income from Investments yet to be received?
– Rent received in advance for next year?
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ConventionsConventions Customs and traditions that are
followed by the accountants while preparing the financial statements.
Why do we respect elders? Why do we shake hands? Why do Young Indians hate receiving
dowry?
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CoservativismCoservativism
To be on the safer side Expect future losses as current year loss not future income is treated as current
year income. Stock is valued cost price / market price
which ever is lower Making provision for bad debts is based
on this assumptions.
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MaterialityMateriality
Material impact on profitability are considered
Insignificant transactions ignored from recording
Pen purchased, pencil purchased? Wine purchased regularly?
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ConsistencyConsistency
Accounting policies and procedures should be followed consistently
Method of depreciation should be followed consistently.
Stock valuation- cost/market price whichever is lower is consistently followed
If not followed it amount to change in the policy of the company
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2.system of accounting 2.system of accounting (26)(26)
1.Cash system: unless cash received /paid in
the accounting year can not be considered as income/expenses respectively
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2.Mercantile2.Mercantile
Mercantile/Accrual/due concept: Even cash received/paid but due for
payment/due for receipt (yet to be received/payable) if they belong to current accounting year are considered.
If last year expenditure paid this year? If you receive/paid in advance ?
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Mercantile love!!!!???Mercantile love!!!!???
Last year I loved her? Next year I shall love him depends on type of bike model!!!!
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Life EducationLife Education
If I do not get married to him I will not be happy- Girl said
If I do not get married to her I will not be happy- Boy said
If both get married what will happen!!!!
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1.Production
Prime Cost
1.Godown
1.canteen
2
Cost of sales
6.sales5.profit
1.Factory administration
4.Sales and distribution3.General administration
Total cost
Bin card
Stores ledger
Cost calculations/operating activity
++ =
+
+
Danger
Facility department
Factory cost/works cost
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Financial StatementsFinancial Statements
Balance Sheet Income Statement Cashflow Statement Statement of Retained Earnings
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Review: Major Balance Sheet Review: Major Balance Sheet ItemsItems
Assets Current assets:
– Cash & securities
– Receivables
– Inventories Fixed assets:
– Tangible assets
– Intangible assets
Liabilities and Equity Current liabilities:
– Payables
– Short-term debt Long-term
liabilities Shareholders'
equity
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An Example: Dell An Example: Dell Abbreviated Balance Sheet-34Abbreviated Balance Sheet-34 Assets:
– Current Assets: $7,681.00
– Non-Current Assets: $3,790.00
– Total Assets: $11,471.00 Liabilities:
– Current Liabilities: $5,192.00
– LT Debt & Other LT Liab.: $971.00
– Equity: $5,308.00
– Total Liab. and Equity: $11,471.00
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An Example: DellAn Example: DellAbbreviated Income Statement-page-47Abbreviated Income Statement-page-47
Sales $25,265.00Costs of Goods Sold -$19,891.00Gross Profit $5,374.00Cash operating expense -$2,761.00EBITDA 2,613.00Depreciation & Amortization -$156.00Other Income (Net) -$6.00EBIT $2,451.00Interest -$0.00EBT $2,451.00Income Taxes -$785.00Special Income/Charges -$194.00Net Income (EAT) $1,666.00
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Financial Statement AnalysisFinancial Statement Analysis External users rely on
publicly-available information to perform financial analysis
Such information is contained in corporate annual report
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1. Use the statement of cash flows in decision making
2. Compute the standard financial ratios used for decision making
3. Use ratios in decision making4. Measure economic value added by a
company’s operations
Chapter Learning ObjectivesChapter Learning Objectives
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What do you learn??What do you learn?? Here's how you'll benefit from this course: Understand the contents of the balance sheet,
cashflow, and income statements Contribute to better costing and working capital
management Review production capacity and investment proposals Evaluate long, medium and short term financing Review financial statements and analyse them using
ratios to determine your business strengths and weaknesses
Apply techniques to make decisions that create genuine value
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FOUR BASIC FINANCIAL STATEMENTSAnnual Report ContentsAnnual Report Contents
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FOUR BASIC FINANCIAL STATEMENTS
1
Annual Report ContentsAnnual Report Contents
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FOUR BASIC FINANCIAL STATEMENTS
FOOTNOTES TO THE FINANCIAL STATEMENTS
1
2
Annual Report ContentsAnnual Report Contents
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FOUR BASIC FINANCIAL STATEMENTS
FOOTNOTES TO THE FINANCIAL STATEMENTS
SUMMARY OF ACCOUNTING METHODS
1
2
3
Annual Report ContentsAnnual Report Contents
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FOUR BASIC FINANCIAL STATEMENTS
FOOTNOTES TO THE FINANCIAL STATEMENTS
SUMMARY OF ACCOUNTING METHODS
MANAGEMENT’S DISCUSSION AND ANALYSIS OF FINANCIAL STATEMENTS
1
2
3
4
Annual Report ContentsAnnual Report Contents
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FOUR BASIC FINANCIAL STATEMENTS
FOOTNOTES TO THE FINANCIAL STATEMENTS
SUMMARY OF ACCOUNTING METHODS
MANAGEMENT’S DISCUSSION AND ANALYSIS OF FINANCIAL STATEMENTS
AUDITOR’S REPORT
1
2
3
4
5
Annual Report ContentsAnnual Report Contents
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FOUR BASIC FINANCIAL STATEMENTS
FOOTNOTES TO THE FINANCIAL STATEMENTS
SUMMARY OF ACCOUNTING METHODS
MANAGEMENT’S DISCUSSION AND ANALYSIS OF FINANCIAL STATEMENTS
AUDITOR’S REPORT
COMPARATIVE FINANCIAL DATA FOR A SERIES OF YEARS
1
2
3
4
5
6
Annual Report ContentsAnnual Report Contents
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Financial Statement AnalysisFinancial Statement Analysis
Before you jump to a decision, consider the following:
1. Financial statements provide data about what happened during the accounting period
Pick the one annual report component which provides investors and creditors with the most descriptive information about the corporation’s activities and financial condition
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Financial Statement AnalysisFinancial Statement Analysis
2. Investors and creditors use information contained in the annual report to:
Forecast future income and cash flows
Assess risk of investing in or lending to the corporation
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MANAGEMENT’S DISCUSSION AND ANALYSIS OF FINANCIAL STATEMENTS
4
Financial Statement AnalysisFinancial Statement Analysis
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Financial Statement Analysis-Financial Statement Analysis-page-51page-51
Management’s discussion and analysis (MD&A) includes:
Evaluation of current business operations Assessment of future operations
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Tools to Evaluate Financial Tools to Evaluate Financial InformationInformation
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1
Tools to Evaluate Financial Tools to Evaluate Financial InformationInformation
Horizontal Analysis
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2
1
Tools to Evaluate Financial Tools to Evaluate Financial InformationInformation
Horizontal Analysis
Vertical Analysis
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3
2
1
Tools to Evaluate Financial Tools to Evaluate Financial InformationInformation
Horizontal Analysis
Vertical Analysis
Ratio Analysis
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Perform a horizontal analysis of comparative financial
statements
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Tools to Evaluate Financial Tools to Evaluate Financial InformationInformation
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1
Tools to Evaluate Financial Tools to Evaluate Financial InformationInformation
Horizontal Analysis
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Horizontal AnalysisHorizontal Analysis
Examines percentage change in each item on the financial statements
Compares current year’s dollar amount with prior year’s dollar amount
Expresses the change in– Dollars
– Percentage
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Horizontal AnalysisHorizontal Analysis
First, calculate dollar change from base year (prior year) to current year
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Horizontal AnalysisHorizontal Analysis
First, calculate Rupee/dollar change from base year (prior year) to current year
Second, divide Rupee/ dollar change by base-year dollar amount
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Horizontal AnalysisHorizontal Analysis
DOLLAR AMOUNT INCREASE (DECREASE)Amounts in thousands
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Horizontal AnalysisHorizontal Analysis
DOLLAR AMOUNT INCREASE (DECREASE)Amounts in thousands
1996 1995 Dollars %Receivables (net) $325,384 $272,225
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Horizontal AnalysisHorizontal Analysis
DOLLAR AMOUNT INCREASE (DECREASE)Amounts in thousands
2007 2006 Dollars %Receivables (net) $325,384 $272,225
Difference
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Horizontal AnalysisHorizontal Analysis
DOLLAR AMOUNT INCREASE (DECREASE)Amounts in thousands
1996 1995 Dollars %Receivables (net) $325,384 $272,225 $53,159
Difference
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Horizontal AnalysisHorizontal Analysis
DOLLAR AMOUNT INCREASE (DECREASE)Amounts in thousands
2007 2006 Dollars %Receivables (net) $325,384 $272,225 $53,159 19.5%Leasehold Improv. 314,933 273,015 41,918 15.3Notes Receivable 54,715 32,528
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Trend PercentagesTrend Percentages
Specialized form of horizontal analysis
Shows trend of financial statement items over longer time periods such as 5 or 10 years
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Trend PercentagesTrend Percentages
Base year (earliest year in the time series) set at 100%
All other years expressed as percentage of base year
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Trend PercentagesTrend Percentages
Income statement amounts for Ray’s Seafood Shack are presented in the next slide
Compute the trend percentages for these items
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Trend PercentagesTrend Percentages(AMOUNTS IN THOUSANDS )
2008 2007 2006 2005 2004 2003Net Sales $714 $553 $502 $474 $451 $346
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Trend PercentagesTrend Percentages(AMOUNTS IN THOUSANDS )
2008 2007 2006 2005 2004 2003Net Sales $714 $553 $502 $474 $451 $346
Divide x 100
Net Sales 206% 160% 145% 137% 130% 100%
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Trend PercentagesTrend Percentages(AMOUNTS IN THOUSANDS )
2008 2007 2006 2005 2004 2003Net Sales $714 $553 $502 $474 $451 $346
Divide x 100
Net Sales 206% 160% 145% 137% 130% 100%
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Trend PercentagesTrend Percentages(AMOUNTS IN THOUSANDS )
2008 2007 2006 2005 2004 2003Net Sales $714 $553 $502 $474 $451 $346
Divide
x 100
Net Sales 206% 160% 145% 137% 130% 100%
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Trend PercentagesTrend Percentages(AMOUNTS IN THOUSANDS )
2008 2007 2006 2005 2004 2003Net Sales $714 $553 $502 $474 $451 $346
Divide x 100
Net Sales 206% 160% 145% 137% 130% 100%
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Trend PercentagesTrend Percentages(AMOUNTS IN THOUSANDS )
2008 2007 2006 2005 2004 2003Net Sales $714 $553 $502 $474 $451 $346
Divide x 100
Net Sales 206% 160% 145% 137% 130% 100%
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Trend PercentagesTrend Percentages(AMOUNTS IN THOUSANDS )
2008 2007 2006 2005 2004 2003Net Sales $714 $553 $502 $474 $451 $346Cost of Sales 373 265 201 259 280 193
Net Sales 206% 160% 145% 137% 130% 100%
Cost of Sales 193 137 104 134 145 100
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Trend PercentagesTrend Percentages(AMOUNTS IN THOUSANDS )
2008 2007 2006 2005 2004 2003Net Sales $714 $553 $502 $474 $451 $346Cost of Sales 373 265 201 259 280 193Gross Profit 341 288 301 215 171 153
Net Sales 206% 160% 145% 137% 130% 100%Cost of Sales 193 137 104 134 145 100Gross Profit 223 188 197 140 112 100
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Horizontal Analysis and Horizontal Analysis and Trend Percentages: A SummaryTrend Percentages: A Summary
Tools used to compare financial
results of companies of different sizes
and/or in different industries
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2
Vertical AnalysisVertical Analysis
Vertical Analysis
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Vertical AnalysisVertical Analysis Compares each item on the financial
statement to a key, or base, item Base-item dollar amount always set to
100% Income statement
– Net sales = 100% Balance sheet
– Total assets = 100%
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2007 2006 AMOUNT % AMOUNT
%Net sales $430,013 100% $362,386 100%Cost of Goods Sold 336,589 78 284,897 79Gross Profit 93,424 22 77,489 21Selling, General & Admin. 72,363 17 65,096 18Income from Operations 21,061 5 12,393 3Income Taxes 7,072 2 4,350 2Net Income $13,989 3% $8,043 2%
Vertical AnalysisVertical Analysis
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Vertical AnalysisVertical Analysis Once financial
statement items are converted into percentages of the base item, users can compare one company’s financials against another’s
These are called common-size statements
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Prepare common-size financial statements for benchmarking against the
industry average and key competitors
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Common-Size StatementsCommon-Size Statements
Show all items as percentages of the key, or base, amount– Use no dollar amounts
Facilitate financial statement comparison among different sized companies
Improve user’s ability to assess company performance against industry averages
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Common-Size StatementsCommon-Size Statements
Can also be used to evaluate company performance over time
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Benchmarking Against the Benchmarking Against the Industry AverageIndustry Average
Benchmarking is a term used to describe the process of comparing a company’s activities to a standard of
excellence achieved by industry leaders
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A company also can compare its common-size financials to those of its industry’s leaders
Determine where it differs Design and implement business
processes to bring financial results in line with these benchmark entities
Benchmarking Against Key Benchmarking Against Key CompetitorsCompetitors
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Benchmarking Against Key Benchmarking Against Key CompetitorsCompetitors
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Interpretation of Financial Interpretation of Financial Statements-Ratio Analysis-Unit-4Statements-Ratio Analysis-Unit-4
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Interpretation of Financial Statement Interpretation of Financial Statement Analysis( Ratio Analysis)-page 55- Unit-4Analysis( Ratio Analysis)-page 55- Unit-4
By Prof. Augustin Amaladas
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A leading company in the health-care and consumer products industry
Sales revenues of $14-billion
Assets of $13-billion
PROCTER & GAMBLE and BRISTOL-PROCTER & GAMBLE and BRISTOL-MYERS SQUIBBMYERS SQUIBB
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How would you compare Bristol-Myers Squibb’s performance against other industry competitors?
Companies differ in size, so you can’t compare absolute dollar amounts
Need to use ratios - tools to translate financial data into percentages - which can be compared across companies
PROCTER & GAMBLE and PROCTER & GAMBLE and BRISTOL-MYERS SQUIBBBRISTOL-MYERS SQUIBB
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PROCTER & GAMBLE
Sales revenues $33.4
Net income 2.6
Assets 28.0
PROCTER & GAMBLE and PROCTER & GAMBLE and BRISTOL-MYERS SQUIBBBRISTOL-MYERS SQUIBB
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BRISTOL-MYERS SQUIBB
Sales revenues $13.7Net income
1.8Assets 13.0
PROCTER & GAMBLE
Sales revenues $33.4
Net income 2.6
Assets 28.0
Opening Vignette - Opening Vignette - Bristol-Myers SquibbBristol-Myers Squibb
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BRISTOL-MYERS SQUIBB
Sales revenues $13.7Net income
1.8Assets 13.0
PROCTER & GAMBLESales revenues $33.4Net income 2.6
Assets 28.0
Which company was better in generating net income from sales revenues earned?
Opening Vignette - Opening Vignette - Bristol-Myers SquibbBristol-Myers Squibb
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BRISTOL-MYERS SQUIBB
Sales revenues $13.7Net income
1.8Assets 13.0
You can use the return on sales ratio to compare
PROCTER & GAMBLESales revenues $33.4Net income 2.6
Assets 28.0
Which company was better in generating net income from sales revenues earned?
Opening Vignette - Opening Vignette - Bristol-Myers SquibbBristol-Myers Squibb
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PROCTER & GAMBLE
Sales revenues $33.4
Net income 2.6
Opening Vignette - Opening Vignette - Bristol-Myers SquibbBristol-Myers Squibb
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PROCTER & GAMBLESales revenues $33.4Net income 2.6
$2.6$33.4
= 7.78%
Opening Vignette - Opening Vignette - Bristol-Myers SquibbBristol-Myers Squibb
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BRISTOL-MYERS SQUIBB
Sales revenues $13.7Net income
1.8
PROCTER & GAMBLESales revenues $33.4Net income 2.6
$2.6$33.4
= 7.78%
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BRISTOL-MYERS SQUIBBSales revenues $13.7
Net income 1.8
$1.8$13.7
= 13.13%
PROCTER & GAMBLESales revenues $33.4Net income 2.6
$2.6$33.4
= 7.78%
Opening Vignette -Bristol-Myers SquibbOpening Vignette -Bristol-Myers Squibb
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BRISTOL-MYERS SQUIBB
Sales revenues $13.7
PROCTER & GAMBLE
Sales revenues $33.4
Opening Vignette - Opening Vignette - Bristol-Myers SquibbBristol-Myers Squibb
Although P&G’s sales were higher
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BRISTOL-MYERS SQUIBB
Sales revenues $13.7Net income
1.8
$1.8$13.7
= 13.13%
PROCTER & GAMBLESales revenues $33.4Net income 2.6
$2.6$33.4
= 7.78%
Bristol-Myers’ return on sales was nearly twice that of P&G
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Financial Statement AnalysisFinancial Statement Analysis External users rely on
publicly-available information to perform financial analysis
Such information is contained in corporate annual report
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Financial Statement Analysis: Financial Statement Analysis: Lecture OutlineLecture Outline Review of Financial Statements Ratios
– Types of Ratios– Examples
The DuPont Method Ratios and Growth Summary
– Strengths– Weaknesses– Ratios and Forecasting
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Financial AnalysisFinancial Analysis
Assessment of the firm’s past, present and future financial conditions
Done to find firm’s financial strengths and weaknesses
Primary Tools:– Financial Statements– Comparison of financial ratios to past,
industry, sector and all firms
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The Main IdeaThe Main Idea
Value for the firm comes from cashflows Cashflows can be calculated as:
(Revt - Costt - Dept)x(1-) + Dept
—OR— (Revt - Costt)x(1-) + xDept
—OR— Revtx(1-) - Costtx(1-) + xDept
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Review: Major Balance Sheet Review: Major Balance Sheet ItemsItems
Assets Current assets:
– Cash & securities
– Receivables
– Inventories Fixed assets:
– Tangible assets
– Intangible assets
Liabilities and Equity Current liabilities:
– Payables
– Short-term debt Long-term
liabilities Shareholders'
equity
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An Example: Dell An Example: Dell Abbreviated Balance SheetAbbreviated Balance Sheet Assets:
– Current Assets: $7,681.00
– Non-Current Assets: $3,790.00
– Total Assets: $11,471.00 Liabilities:
– Current Liabilities: $5,192.00
– LT Debt & Other LT Liab.: $971.00
– Equity: $5,308.00
– Total Liab. and Equity: $11,471.00
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Absorption Costing vs. Variable Absorption Costing vs. Variable
Costing Income StatementsCosting Income Statements
Absorption Costing Variable Costing:
Sales $60,000 Sales $60,000
Cost of sales 30,000 Variable costs:
Gross profit $30,000 Cost of sales 30,000
Operating expenses: Operating expenses 6,000
Variable $6,000 Total variable costs $36,000
Fixed 20,000 Contribution margin: $24,000
Total operating expenses $26,000 Fixed costs 20,000
Income $4,000 Income $4,000
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Absorption CostingAbsorption Costing
Income StatementIncome Statement
Sales XXXCost of Goods Sold:
Beginning inventory XXXCost of goods manufactured XXX Cost of goods available XXXEnding inventory XXX
Cost of goods sold XXXGross Margin XXXOperating Expenses:
Selling XXXAdministrative XXX XXX
Income before Taxes XXX
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ABSORPTION COSTING PRO-ABSORPTION COSTING PRO-FORMAFORMA
££Sales Revenue xxxxxLess Absorption Cost of Sales Opening Stock (Valued @ absorption cost) xxxx Add Production Cost (Valued @ absorption cost) xxxx Total Production Cost xxxx Less Closing Stock (Valued @ absorption cost) (xxx) Absorption Cost of Production xxxxAdd Selling, Admin & Distribution Cost xxxxAbsorption Cost of Sales (xxxx)Un-Adjusted Profit xxxxxFixed Production O/H absorbed xxxx Fixed Production O/H incurred (xxxx) (Under)/Over Absorption xxxxxAdjusted Profit xxxxx
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Variable CostingVariable Costing
Income StatementIncome StatementSales XXXCost of Goods Sold:
Beginning inventory XXXCost of goods manufactured XXX Cost of goods available XXXEnding inventory XXX
Variable cost of goods sold XXXProduct Contribution Margin XXXVariable Selling Expense XXXTotal Contribution Margin XXXFixed Expenses:
Factory XXXSelling XXXAdministrative XXX XXX
Income before Taxes XXX
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Marginal costing cost sheetMarginal costing cost sheet ££Sales Revenue xxxxx
Less Marginal Cost of Sales Opening Stock (Valued @ marginal cost) xxxx Add Production Cost (Valued @ marginal cost) xxxx Total Production Cost xxxx Less Closing Stock (Valued @ marginal cost) xxx) Marginal Cost of Production xxxx
Add Selling, Admin & Distribution Cost xxx Marginal Cost of Sales (xxxx)
Contribution xxxxx Less Fixed Cost (xxxx) Marginal Costing Profit xxxxx
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An Example: DellAn Example: DellAbbreviated Income StatementAbbreviated Income StatementSales $25,265.00Costs of Goods Sold -$19,891.00Gross Profit $5,374.00Cash operating expense -$2,761.00EBITDA 2,613.00Depreciation & Amortization -$156.00Other Income (Net) -$6.00EBIT $2,451.00Interest -$0.00EBT $2,451.00Income Taxes -$785.00Special Income/Charges -$194.00Net Income (EAT) $1,666.00
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Objectives of Ratio AnalysisObjectives of Ratio Analysis Standardize financial information for
comparisons Evaluate current operations Compare performance with past
performance Compare performance against other
firms or industry standards Study the efficiency of operations Study the risk of operations
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Rationale Behind Ratio Rationale Behind Ratio AnalysisAnalysis A firm has resources It converts resources into profits through
– production of goods and services– sales of goods and services
Ratios– Measure relationships between resources and
financial flows– Show ways in which firm’s situation deviates from
Its own past Other firms The industry All firms-
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financials can be used in
benchmarking
Benchmarking Against Key Benchmarking Against Key CompetitorsCompetitors
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Using Ratios to Make Using Ratios to Make Business DecisionsBusiness Decisions
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3
Ratio Analysis
Using Ratios to Make Using Ratios to Make Business DecisionsBusiness Decisions
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Types of Ratios-59Types of Ratios-59 Financial Ratios:
– Liquidity Ratios Assess ability to cover current obligations
– Leverage Ratios Assess ability to cover long term debt obligations
Operational Ratios:– Activity (Turnover) Ratios
Assess amount of activity relative to amount of resources used
– Profitability Ratios Assess profits relative to amount of resources used
Valuation Ratios: Assess market price relative to assets or earnings
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Using Ratios to Make Using Ratios to Make Business DecisionsBusiness Decisions
Ratios - the relationship between two items on financial statements - permit users to calculate a variety of financial comparisons
These ratios can be compared to: Prior years’ financial results Industry averages Benchmark entities’ ratios
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Ratios measure an entity’s ability to: Pay current liabilities Sell inventory and collect receivables Pay long-term debt Generate profits from operations Sustain shareholder wealth
Using Ratios to Make Using Ratios to Make Business DecisionsBusiness Decisions
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Measuring the Company’s Ability to Pay Current Measuring the Company’s Ability to Pay Current Liabilities-Page-59Liabilities-Page-59
One measure of entity’s ability to pay its current obligations is to look at working capital
Current assets - current liabilities
2 ratios help users assess working capital information
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Measuring the Company’s Ability to Pay Current Measuring the Company’s Ability to Pay Current LiabilitiesLiabilities
One measure of entity’s ability to pay its current obligations is to look at working capital
Current assets - current liabilities
2 ratios help users assess working capital information– Current ratio
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Measuring the Company’s Measuring the Company’s Ability to Pay Current Ability to Pay Current LiabilitiesLiabilities
One measure of entity’s ability to pay its current obligations is to look at working capital
Current assets - current liabilities
2 ratios help users assess working capital information– Current ratio– Quick (acid-test) ratio
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Using Ratios to Make Using Ratios to Make Business DecisionsBusiness Decisions
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Ability to Pay Current Ability to Pay Current LiabilitiesLiabilities
Current ratio
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Ability to Pay Current Ability to Pay Current LiabilitiesLiabilities
Current ratio Current assets
Current liabilities
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Ability to Pay Current Ability to Pay Current Liabilities-page-59Liabilities-page-59
Current ratio Current assets
Current liabilities
$7,681.00$5,192.00
= 1.48
Assets:Current Assets:
$7,681.00Non-Current Assets:
$3,790.00Total Assets:
$11,471.00Liabilities:
Current Liabilities:$5,192.00
LT Debt & Other LT Liab.: $971.00
Equity: $5,308.00Total Liab. and Equity:
$11,471.00
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Ability to Pay Current Ability to Pay Current Liabilities-page-60Liabilities-page-60
Quick ratio
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Ability to Pay Current Ability to Pay Current LiabilitiesLiabilities
Quick ratio Current assets - inventory - prepaid items
Current liabilities
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Ability to Pay Current Ability to Pay Current LiabilitiesLiabilities
Liquid ratio Current assets - inventory - prepaid items
Current liabilities
$25,240$114,744
= .22
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Measuring the Company’s Ability to Sell Measuring the Company’s Ability to Sell Inventory and Collect ReceivablesInventory and Collect Receivables
Entity’s operating cycle– Time to go from cash to inventory to
receivables to cash
is critical to generating cash inflows from operating activities
3 ratios help users assess management’s skill in selling inventory and collecting receivables
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Inventory turnover
Measuring the Company’s Ability to Measuring the Company’s Ability to Sell Inventory and Collect Sell Inventory and Collect Receivables-page-63Receivables-page-63
1
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Inventory turnover
A/R turnover
Measuring the Company’s Ability to Sell Inventory Measuring the Company’s Ability to Sell Inventory and Collect Receivablesand Collect Receivables
1
2
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Inventory turnover
A/R turnover
Days’ sales in receivables
Measuring the Company’s Ability to Measuring the Company’s Ability to Sell Inventory and Collect Sell Inventory and Collect ReceivablesReceivables
123
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Inventory Turnover-page-63Inventory Turnover-page-63 Number of times the
average level of inventory is sold during the accounting year
Measures time required to earn return on company’s investment in inventory
2008
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Inventory TurnoverInventory Turnover
Cost of goods soldAverage inventory
=$19,891/$4000=4.972 times
Sales $25,265.00Costs of Goods Sold -$19,891.00Gross Profit $5,374.00Cash operating expense -$2,761.00EBITDA 2,613.00Depreciation & Amortization -$156.00Other Income (Net) -$6.00EBIT $2,451.00Interest -$0.00EBT $2,451.00Income Taxes -$785.00Special Income/Charges -$194.00Net Income (EAT) $1,666.00
Average inventory $ 4000Average debtors $5000
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Inventory TurnoverInventory Turnover High ratio indicates ability
to quickly sell inventory Too high a ratio may
indicate inadequate inventory levels
Turnover ratio should be compared to historical and industry averages
Analyze significant variances
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Accounts Receivable Accounts Receivable Turnover-page-65Turnover-page-65
Number of times the average level of A/R is collected during the accounting year
Measures ability to collect cash from credit customers
$
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Accounts Receivable Accounts Receivable TurnoverTurnover
Net credit salesAverage net A/R
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Net credit sales*Average net A/R
$25,265.005000
= 5.053 times
Accounts Receivable Accounts Receivable TurnoverTurnover
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Days’ Sales in ReceivablesDays’ Sales in Receivables
Number of equivalent days’ sales revenue represented by the outstanding A/R balance
Measures A/R balance in terms of number of days it would take to generate the equivalent dollar amount of sales
$
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Average net A/R(Net sales / 365 days)
$5000($25265 / 365 days)
= 72.23 days
Days’ Sales in ReceivablesDays’ Sales in Receivables
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Measuring the Company’s Ability to Pay Measuring the Company’s Ability to Pay Long-Term Debt-67Long-Term Debt-67
Bondholders and long-term lenders are concerned about an entity’s ability to repay debt principal and accumulated interest on long-term notes and loans
2 ratios help these users assess the entity’s ability to pay its long-term obligations
Debt ratio Times-interest-earned ratio
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Debt Ratio-page-67Debt Ratio-page-67
Relationship between company’s total liabilities and total assets
Measures proportion of total assets provided through debt
1 - debt ratio = proportion of assets provided by equity
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Debt Ratio-page 67Debt Ratio-page 67
Total LiabilitiesTotal Equity
Assets:Current Assets:
$7,681.00Non-Current Assets:
$3,790.00Total Assets:
$11,471.00Liabilities:
Current Liabilities:$5,192.00
LT Debt & Other LT Liab.: $971.00
Equity: $5,308.00Total Liab. and Equity:
$11,471.00
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Debt RatioDebt Ratio
Total LiabilitiesTotal Assets
$971.00$5,308.00
=.1829
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Debt RatioDebt Ratio
Total LiabilitiesTotal Assets
2,00000$323,497
= .38
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Debt RatioDebt Ratio
If debt ratio = 1.0, company used all debt to finance acquisition of its assets– A highly unlikely
situation Thus, debt ratio is
generally less than 1.0
LOANS,NOTES,BONDS,
ETC.
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Debt RatioDebt Ratio
The higher the ratio, the more cash the company must commit toward paying annual interest expense and loan principal
As a result, company’s cash flow might be negatively affected
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Lenders and creditors might require company to appropriate portion of retained earnings to ensure sufficient assets to repay interest and loan principal
Debt RatioDebt Ratio
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Times-Interest-Earned Ratio-Times-Interest-Earned Ratio-page-70page-70
Relationship between company’s net income from operations and interest expense
Measures ability of company to cover, or pay for, its interest expense out of operating income
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Times-Interest-Earned RatioTimes-Interest-Earned Ratio
Income from operationsInterest expense
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Times-Interest-Earned RatioTimes-Interest-Earned Ratio
Income from operations Interest expense
2,613.000
= &
Sales $25,265.00Costs of Goods Sold -$19,891.00Gross Profit $5,374.00Cash operating expense -$2,761.00EBITDA 2,613.00Depreciation & Amortization -$156.00Other Income (Net) -$6.00EBIT $2,451.00Interest -$0.00EBT $2,451.00Income Taxes -$785.00Special Income/Charges -$194.00Net Income (EAT) $1,666.00
Average inventory $ 4000Average debtors $5000
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high ratio indicates ease in meeting debt interest payments
Times-Interest-Earned RatioTimes-Interest-Earned Ratio
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A low ratio would signal possible difficulties in making payments to lenders and bondholders
Times-Interest-Earned RatioTimes-Interest-Earned Ratio
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Measuring a Company’s Measuring a Company’s ProfitabilityProfitability
Financial analysts pay close attention to ratios which assess a company’s ability to generate profits and operate efficiently
Creditors and investors rely on forecasts of a company’s potential to generate net income when they make lending and investing choices
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4 profitability ratios are commonly used in financial statement analysis
Measuring a Company’s Measuring a Company’s ProfitabilityProfitability
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4 profitability ratios are commonly used in financial statement analysis
Return on sales
Measuring a Company’s Measuring a Company’s ProfitabilityProfitability
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4 profitability ratios are commonly used in financial statement analysis
Return on sales Return on assets
Measuring a Company’s Measuring a Company’s ProfitabilityProfitability
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4 profitability ratios are commonly used in financial statement analysis
Return on sales Return on assetsReturn on equity
Measuring a Company’s Measuring a Company’s ProfitabilityProfitability
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4 profitability ratios are commonly used in financial statement analysis
Return on sales Return on assetsReturn on equityEarnings per share
Measuring a Company’s Measuring a Company’s Profitability-page-74Profitability-page-74
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Relationship between a company’s net income and net sales
Measures management’s ability to efficiently and effectively manage company operations
Shows percentage of each net sales dollar earned as net income
Return on SalesReturn on Sales
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Return on Sales-Net profit ratio-Return on Sales-Net profit ratio-7373
Net incomeNet sales revenue
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Return on SalesReturn on Sales
Net income Net sales revenue
$1,666.00 $25,265.00
=0 .065
Sales $25,265.00Costs of Goods Sold -$19,891.00Gross Profit $5,374.00Cash operating expense -$2,761.00EBITDA 2,613.00Depreciation & Amortization -$156.00Other Income (Net) -$6.00EBIT $2,451.00Interest -$0.00EBT $2,451.00Income Taxes -$785.00Special Income/Charges -$194.00Net Income (EAT) $1,666.00
$1,666.00Average inventory $ 4000Average debtors $5000
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Higher rate tells users that more net sales dollars add to a company’s profits– And fewer dollars go to
cover company expenses Company conducts its
business effectively, manages expenses
Return on SalesReturn on Sales
Net Income
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Ratio of the return to the two groups that provide financing to the company– Creditors and investors
and average assets owned during the period
Measures company’s success in generating income from its available resources
Return on Assets-74Return on Assets-74
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Net income + interest expenseAverage total assets
Return on AssetsReturn on Assets
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Net income + interest expenseAverage total assets
$1,666.00 + 0 9000
= .185
Return on AssetsReturn on Assets
Sales $25,265.00Costs of Goods Sold -$19,891.00Gross Profit $5,374.00Cash operating expense -$2,761.00EBITDA 2,613.00Depreciation & Amortization -$156.00Other Income (Net) -$6.00EBIT $2,451.00Interest -$0.00EBT $2,451.00Income Taxes -$785.00Special Income/Charges -$194.00Net Income (EAT) $1,666.00
Average inventory $ 4000Average debtors $5000
Average total assets $9000 e-mail: [email protected] www.augustin.co.nr
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Return on Assets Return on Assets
Why do we add back interest expense to
net income?
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Total assets are financed by 2 sources:– Investors (equity)– Creditors (debt)
Net income is the return attributable to investors in the company’s stock
Interest expense is the return paid to creditors for using their funds to acquire assets
Return on AssetsReturn on Assets
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Relationship between net income available to common stockholders and the equity they provide
Measures company’s success in using stockholders’ investments to generate net income
Return on Equity-75Return on Equity-75
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Return on EquityReturn on Equity
Net income - preferred dividendsCommon contributed capital + retained
earnings
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Return on EquityReturn on Equity
Net income - preferred dividendsCommon contributed capital + retained
earnings
$30,555*($286,676 + $255,773) / 2
= .1126
* X ltd. does not have preferred stock
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Relationship between net income available to common stockholders and the number of shares of common stock issued
Expresses net income in terms of one share of the company’s common stock
Earnings Per Share-77Earnings Per Share-77
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Earnings Per ShareEarnings Per Share
Net income - preferred dividends# of shares of common stock
outstanding
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Earnings Per ShareEarnings Per Share
Net income - preferred dividends# of shares of common stock outstanding
$30,555,000*40,221,000 shares
= $.76
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Earnings Per ShareEarnings Per Share In addition to net
income, EPS is presented for several other elements on the corporate income statement
Discontinued operations Extraordinary items Cumulative effect of
accounting change
Earnings per share (EPS) disclosure on the face of the corporate income statement is mandatory
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Analyzing the Company’s Analyzing the Company’s Stock as an InvestmentStock as an Investment
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Investors expect to receive 2 types of returns on their investments in a corporation’s common stock
Gains earned when they sell the corporation’s stock
Periodic dividends paid by the corporation to its stockholders
Analyzing the Company’s Analyzing the Company’s Stock as an InvestmentStock as an Investment
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Financial analysts use several ratios to assess value of stock investments
Price/earnings ratio Dividend yield Book value
Analyzing the Company’s Analyzing the Company’s Stock as an InvestmentStock as an Investment
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Price/Earnings Ratio-77Price/Earnings Ratio-77
Relationship between a stock’s market price and its earnings per share
Measures the number of times one share of stock sells above the current period’s reported earnings
Assists financial analysts in deciding if a stock is overpriced or underpriced
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Calculating the P/E ratio
Price/Earnings RatioPrice/Earnings Ratio
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Calculating the P/E ratio
Market value of stockEarnings per share
Price/Earnings RatioPrice/Earnings Ratio
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Suppose the market value of Asian Art, Inc., common stock is $15.75 on the last day of its fiscal year
Calculating the P/E ratio
Market value of stockEarnings per share
Price/Earnings RatioPrice/Earnings Ratio
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Suppose the market value of Asian Art, Inc., common stock is $15.75 on the last day of its fiscal year
The income statement reports EPS of $.92
Price/Earnings RatioPrice/Earnings Ratio
Calculating the P/E ratio
Market value of stockEarnings per share
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Suppose the market value of Asian Art, Inc., common stock is $15.75 on the last day of its fiscal year
The income statement reports EPS of $.92
What is Asian Art’s price/earnings ratio?
Price/Earnings RatioPrice/Earnings Ratio
Calculating the P/E ratio
Market value of stock
Earnings per share
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Price/Earnings RatioPrice/Earnings Ratio
Market value of stockEarnings per share
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Price/Earnings RatioPrice/Earnings Ratio
Market value of stockEarnings per share
$15.75$.92
= 17.12
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P/E ratioP/E ratio
If a stock has low P/E ratio say 3/1 it may be considered as an undervalued stock.
If the ratio is 80/1 it may be viewed as overvalued.
This ratio is more popular in the secondary market.
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Dividend YieldDividend Yield Ratio of dividends per share of stock to
the stock’s market value Indicates the percentage of a stock’s
market value “returned” to the stockholder in the form of dividends
Assists investors who desire a steady flow of dividend revenue in their decisions to invest in a particular stock
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Dividend YieldDividend Yield
Annual dividends per shareStock’s market value per share
If Asian Art paid a total of $1.25 in dividends per share, what would be its dividend yield, assuming the same market value for its stock ($15.75)?
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Dividend Yield-78Dividend Yield-78
Annual dividends per shareStock’s market value per share
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Dividend YieldDividend Yield
Annual dividends per shareStock’s market value per share
$1.25
$15.75
= .079
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Book ValueBook Value Relationship between
common stockholders’ equity and number of common shares outstanding
Measures the accounting value of one share of the corporation’s common stock
DE
BIT
CR
ED
IT
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Book ValueBook Value
Total equity - preferred equity# of shares of common stock outstanding
The book value of one share of Lands’ End common stock is:
$201,192,0004,02,21,000 shares
= $5.00/share
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Review: Major Income Review: Major Income Statement ItemsStatement Items Gross Profit = Sales - Costs of Goods Sold EBITDA
= Gross Profit - Cash Operating Expenses EBIT = EBDIT - Depreciation - Amortization EBT = EBIT - Interest NI or EAT = EBT- Taxes Net Income is a primary determinant of the
firm’s cashflows and, thus, the value of the firm’s shares
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Life educationLife education
Thomas Thomas Cooper –Cooper –DictionaryDictionary
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Accounting Test Question No IFS 4:Accounting Test Question No IFS 4: Effect of Management Decisions On Ratios Require: Put by letter whether each of the actions listed
below will immediately -increase (I), -decrease (D) or -have no effect (N) on the ratios shown. Current ratio Acid-test ratio Debt to Equity
ratio 1.Company issued ordinary shares for cash 2.Bought raw material on account 3.Received money from accounts receivable 4.Expiration of prepaid rent
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5.Payment of cash dividend 6.Purchase long term investment with
cash 7.Sale of fixed assets for cash with no
gain or loss 8.Stock write off 9.Refinance on a long term basis
currently matured debt 10.Bought fixed asset with a 6 month
note
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Answer to Accounting Answer to Accounting Test Question IFS No 4::
Current ratio Acid-test ratio Debt to equity ratio
1.Company issued ordinary shares for cash I I D
2.Bought raw material on accountI D I 3.Received money from accounts
receivable N N N 4.Expiration of prepaid rent D N I
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5.Payment of cash dividendDDI 6.Purchase long term investment with cash
– D D N 7.Sale of fixed assets for cash with no gain or
loss I I N 8.Stock write off D N I 9.Refinance on a long term basis currently
matured debt I I N 10.Bought fixed asset with a 6 month note
D D I
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Accounting Test Question No IFS 1: Details of financial performance of Company XYZ For year 2005 Income Statement: Net Sales - $ 7 million, Cost of Goods sold - $ 3 million
– Net Income - $1.2 million– Balance Sheet ($’000):-2007
Assets Cash $2,00,240 Accounts Receivable $8,10,620 Inventory $8,30,710 Property, plant and equipment ( net)
$2,59,02,420
Total Assets $4,43,03,990 e-mail: [email protected] www.augustin.co.nr
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Liabilities & Shareholders’ Equity: Current liabilities710640 Notes payable550990 Paid-in capital1,5001,500 Retained earnings1,670860Total
Liabilities & Shareholders’ Equity4,4303,990The average industry for
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Company’s line of business are: Inventory Turnover 5 times Average Collection period 45 days Asset Turnover 2 times Required: Evaluate Company XYZ’s asset
management relative to its industry.
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Accounting Test Question No IFS 2:Accounting Test Question No IFS 2:
Append below Company TIM s Income Statement and Balance Sheet:
Income Statement (000) 2006-2007 Net Sales Rs.7,05,06,200 Net Income Rs.3,40,410 Balance Sheet (000):-Assets2006-2007 Current Assets Rs.1,84,01,570 Property, plant and equipment ( net)
Rs.2,59,02,420 Total Assets Rs.4,43,03,990
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Current Liabilities1,15,01,190 Long term liabilities RS. 8,10,440 Paid-in capital1 RS.50,01,500 Retained earnings Rs.9,70,860 Required: Determine the following ratios for 2006- 2007: profit margin on sales return on assets (ROA) return on shareholders equity (2) Determine the amount of dividends paid to
the shareholders during2006- 2007
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Answer to Accounting Answer to Accounting Test Question IFS No 2:: 1(a) Profit margin on sales = Net Income/ Net Sales = Rs.340,000/Rs.7,050,000 = 4.8% 1(b) Return on Assets (ROA) = Net Income/(Average Total Assets)/2 =RS.340,000/(Rs.4,430,000+3,990,000)/2 = 8.1%
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1(c) Return on Shareholders equity = Net Income/ (Average Total Shareholder fund)/2 =Rs.340,000/(Rs.3,170,000+2,360,000)/2 =12.3%
Computation of Dividend paid during Year 2005: Retained earnings beginning of year 2005
RS.860,000 Add: Net Income Rs.340,000 Less: Retained earnings end of year 2005
(Rs.970,000) Dividends paid during 2007 Rs.230,000
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Accounting Test Question No IFS 3: Append below Company XYZ’s Income
Statement and Balance Sheet: Income Statement ($’000)2005 Net Sales 7,100 Interest expense 40 Income tax expense 150 Net Income 210
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Balance Sheet ($’000):- Assets2005 Cash 200 Accounts Receivable 810 Inventory 830 Property, plant and equipment ( net) 2,590 Total Assets 4,430 Liabilities & Shareholders’ Equity: Current liabilities 710 Long-term liabilities 550 Paid-in capital 1,500 Retained earnings 1,670 Total Liabilities & Shareholders’ Equity4,430
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Required: Determine the following ratios for 2005: (a) current ratio (b) acid-test ratio (c) debt to equity ratio (d) times interest earned ratio
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Answer:3Answer:3 (a) current ratio= Current asset/current liabilities = ($200,000+$810,000+$830,000)/$710,000)=
2.59
(b) acid-test ratio= (Current assets- inventory)/current liabilities =($200,000+$810,000)/$710,000= 1,42
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(c) debt to equity ratio =(Total liabilities)/Shareholders fund =($710,000+$550,000)/($1,500,000+ $1,670,000) =0.39
(d) times interest earned ratio =(Net Income+ Interest Expense+ Income
Tax)/InterestExpense =($210,000+$40,000+$150,000)/$40,000 =10 times
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Some difficulty in ratiosSome difficulty in ratios
All profitability and expenses ratios Sales in the denominator
All turn over ratios, sales in the numerator.
Propritory ratio=Total assets/owner’s funds
Shareholders’ funds=Equity shares+Reserves and surplus
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Exercise problems-103Exercise problems-103
1.1.NC 1.2 decrease 1.3 NC 1.4 NC 1.5 Increase
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Exercise-2.Exercise-2.
1.GP ratio=15*100/30=50% 2.NP ratio=5*100/30=16.67% 3.STR=COGS/Average stock=15/2.5=6.0
times 4.CR=8/3=2.67 5.LR=6/3=2
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Exercise-3Exercise-3
GP 33.33% 35% NP 20% 25% ROCE 15% 20% STR 4 5 CR 1.5 2 D/E 0.17241 0.24 Capital employed=3.4-.2=3.2
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Exercise-4Exercise-4
1. current ratio=550/200=2.75 2.Acid test ratio=400/200=2 3.Operating
ratio=1480*100/1800=82.22% 4.STR=1150/200=5.75 times 5. DTR=1800/250=7.2 times 6.ROPR=
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Prob.13.Prob.13.
1.sales=3,20,000 2.sundry debtors=80,000 3. sundry creditors=80,000 4. closing stock=31,000 5. Opening stock=29,000
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Prob.12Prob.12 Balance sheet: General reserve at the beginning=2,00,000 Proposed addition=1,00,000 Profits and loss appro.=20,000 10% Debentures=1,00,000 Current liabilities(Proposed dividend)=2,00,000 Fixed assets=7,20,000 Stock=2,53,125 Sundry debtors=84,375 Tranfer to general reserve=1,00,000 Balance transferred to balance sheet=20,000 Net profit=2,50,000 Provision for tax=7500 Net profit=2,50,000;gross profit=6,07,500;sales=10,12,500;
purchases=1,30,625.
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Prob.9Prob.9 Balance sheet.Liabilities AssetsEquity shares 2,00,000 Fixed assets
2,25,000R/S 1,00,000 current liabilities
1,75,000Long term liabilities NILOver draft 60,000Sundry creditors 40,000 4,00,000
4,00,000
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Chapter Objective 5Chapter Objective 5Use ratios in decision making
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Limitations of Financial Limitations of Financial AnalysisAnalysis No one ratio or year’s worth of financial
information should be relied upon to provide a complete assessment of a corporation’s financial condition
Analysts should: Examine trends over time Benchmark to industry and key competitors Seek answers about why ratios are different
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Limitations of Financial Limitations of Financial AnalysisAnalysis
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Limitations of Financial Limitations of Financial AnalysisAnalysis
Grant’s ratios were reasonably good up until several years before its failure
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Limitations of Financial Limitations of Financial AnalysisAnalysis
But analysts and the investing public continued to believe the company’s strong history would carry it forward
Grant’s ratios were reasonably good up until several years before its failure
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Limitations of Financial Limitations of Financial AnalysisAnalysis
But analysts and the investing public continued to believe the company’s strong history would carry it forward
Financial statement users didn’t consider the social and economic changes of the early 1970s and how these affected the retailer!
Grant’s ratios were reasonably good up until several years before its failure
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The Complexity of Business The Complexity of Business DecisionsDecisions
Business environment is complicated by numerous local,
regional, national, and global issues - all must
be considered when evaluating current
financial condition or forecasting future
potential for income
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An Example: Dell An Example: Dell Abbreviated Balance SheetAbbreviated Balance Sheet Assets:
– Current Assetsinventories$391 $7,681.00
– Non-Current Assets: $3,790.00
– Total Assets: $11,471.00 Liabilities:
– Current Liabilities: $5,192.00
– LT Debt & Other LT Liab.: $971.00
– Equity: $5,308.00
– Total Liab. and Equity: $11,471.00
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Current Ratio:
Quick (Acid Test) Ratio:
Liquidity Ratio Examples: DellLiquidity Ratio Examples: Dell
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Ratio Comparison: Current RatioRatio Comparison: Current Ratio
0
0.5
1
1.5
2
2.5
Cu
rren
t R
atio
Dell 2.08 1.66 1.45 1.72 1.48
Industry 1.80 1.80 1.90 1.60
Jan-96 Jan-97 Jan-98 Jan-99 Jan-00
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Debt Ratio:
Leverage Ratio Examples: Leverage Ratio Examples: DellDell
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Ratio Comparison: Debt RatioRatio Comparison: Debt Ratio
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
Deb
t R
atio
Dell 54.70% 73.07% 69.70% 66.25% 53.73%
Industry 62.96% 60.00% 52.38% 62.96%
Jan-96 Jan-97 Jan-98 Jan-99 Jan-00
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Return on Assets (ROA):
Return on Equity (ROE):
Profitability Ratio Examples: Profitability Ratio Examples: DellDell
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Profitability Ratio Examples: Profitability Ratio Examples: DellDell Net Profit Margin:
Retention Ratio
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0%
10%
20%
30%
40%
50%
60%
70%
80%
RO
E
Dell 28.13% 64.27% 73.01% 62.90% 31.39%
Industry 22.30% 30.60% 25.50% 18.00%
Jan-96 Jan-97 Jan-98 Jan-99 Jan-00
Ratio Comparison: ROERatio Comparison: ROE
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0%
5%
10%
15%
20%
25%
RO
A
Dell 12.66% 17.31% 22.12% 21.23% 14.52%
Industry 6.80% 10.90% 7.20% 5.70%
Jan-96 Jan-97 Jan-98 Jan-99 Jan-00
Ratio Comparison: ROARatio Comparison: ROA
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0%
1%
2%
3%
4%
5%
6%
7%
8%
9%
Pro
fit
Mar
gin
Dell 5.14% 6.68% 7.66% 8.00% 6.59%
Industry 3.40% 4.74% 3.79% 2.85%
Jan-96 Jan-97 Jan-98 Jan-99 Jan-00
Ratio Comparison: Profit MarginRatio Comparison: Profit Margin
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Total Asset Turnover Ratio:
Inventory Turnover Ratio:
Activity (Turnover) Ratio Activity (Turnover) Ratio Examples: DellExamples: Dell
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0%
50%
100%
150%
200%
250%
300%
350%
Ass
et T
urn
ove
r
Dell 2.47 2.59 2.89 2.65 2.20
Industry 2.00 2.30 1.90 2.00
Jan-96 Jan-97 Jan-98 Jan-99 Jan-00
Ratio Comparison: Asset TurnoverRatio Comparison: Asset Turnover
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The DuPont SystemThe DuPont System
Method to breakdown ROE into:– ROA and Equity Multiplier
ROA is further broken down as:– Profit Margin and Asset Turnover
Helps to identify sources of strength and weakness in current performance
Helps to focus attention on value drivers
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The DuPont SystemThe DuPont System
Profi t M argin T ota l A sse t T urnover
RO A E quity M ultip l ie r
RO E
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The DuPont SystemThe DuPont System
Profi t M argin T ota l A sse t T urnover
RO A E quity M ultip l ie r
RO E
EquityCommon
Assets Total
Assets Total
IncomeNet MultiplierEquity ROAROE
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The DuPont SystemThe DuPont System
Profi t M argin T ota l A sse t T urnover
RO A E quity M ultip l ie r
RO E
Assets Total
Sales
Sales
IncomeNet TurnoverAsset TotalMarginProfit ROA
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The DuPont SystemThe DuPont System
Profi t M argin T ota l A sse t T urnover
RO A E quity M ultip l ie r
RO E
EquityCommon
Assets Total
Assets Total
Sales
Sales
IncomeNet MultiplierEquity TurnoverAsset TotalMarginProfit ROE
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The DuPont System: DellThe DuPont System: Dell
Multiplier EquityROA
Multiplier EquityTurnover Asset TotalMarginProfit Equity Common
AssetsTotal
AssetsTotal
Sales
Sales
IncomeNet ROE
31.39%
2.16111452.0
2.16112.20250.0659$5,308.00
$11,471.00
$11,471.00
$25,265.00
$25,265.00
$1,666.00ROE
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A Note on Sustainable Growth A Note on Sustainable Growth and Stock Returnsand Stock Returns In the long run
– Sustainable growth and long run capital gains (g) = ROE x
Recall the relationship between stock returns (r), capital gains (g) and forward dividend yields (D1/P0):– r = g + D1/P0 = g + Do(1+g)/P0
Note: r & g must be quarterly if D is quarterly and annual if D is annual
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Example: Predicted Example: Predicted Sustainable Growth for DellSustainable Growth for Dell Based on the most
recent numbers:– ROE = 31.39% &
= 100%
– g = 0.3139 x 1 = 31.39%
– r = 0.3139 + 0/P = 31.39%
Based on 5 year averages:– ROE = 51.94% &
= 100%
– g = 0.5194 x 1 = 51.94%
– r = 0.3139 + 0/P = 51.94%
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Summary of Financial RatiosSummary of Financial Ratios
Ratios help to:– Evaluate performance– Structure analysis– Show the connection between activities and
performance Benchmark with
– Past for the company– Industry
Ratios adjust for size differences
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Limitations of Ratio AnalysisLimitations of Ratio Analysis
A firm’s industry category is often difficult to identify
Published industry averages are only guidelines
Accounting practices differ across firms Sometimes difficult to interpret deviations
in ratios Industry ratios may not be desirable
targets Seasonality affects ratios
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Ratios and ForecastingRatios and Forecasting
Common stock valuation based on– Expected cashflows to stockholders– ROE and are major determinants of cashflows to
stockholders Ratios influence expectations by:
– Showing where firm is now– Providing context for current performance
Current information influences expectations by:– Showing developments that will alter future
performance
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How Might Ratios Help Me on How Might Ratios Help Me on the IEM?the IEM? Analysis of AAPL, IBM and MSFT, and
comparisons to the S&P500 companies can help to:– Assess the (absolute and relative) financial state of
each company– Show each company’s strengths and weaknesses– Predict sustainable growth rate
Combined with current information, this can help to:– Assess likely future performance– Predict future valuation and earnings growth– Predict returns
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Financial Statement Analysis: Financial Statement Analysis: Lecture OutlineLecture Outline Review of Financial Statements Ratios
– Types of Ratios– Examples
The DuPont Method Ratios and Growth Summary
– Strengths– Weaknesses– Ratios and Forecasting
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Financial AnalysisFinancial Analysis
Assessment of the firm’s past, present and future financial conditions
Done to find firm’s financial strengths and weaknesses
Primary Tools:– Financial Statements– Comparison of financial ratios to past,
industry, sector and all firms
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Sources of DataSources of Data
Annual reports– Via mail, SEC or company websites
Published collections of data– e.g., Dun and Bradstreet or Robert Morris
Investment sites on the web– Examples
http://moneycentral.msn.com/investor http://www.marketguide.com
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The Main IdeaThe Main Idea
Value for the firm comes from cashflows Cashflows can be calculated as:
(Revt - Costt - Dept)x(1-) + Dept
—OR— (Revt - Costt)x(1-) + xDept
—OR— Revtx(1-) - Costtx(1-) + xDept
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An Example: Dell An Example: Dell Abbreviated Balance SheetAbbreviated Balance Sheet Assets:
– Current Assets: $7,681.00
– Non-Current Assets: $3,790.00
– Total Assets: $11,471.00 Liabilities:
– Current Liabilities: $5,192.00
– LT Debt & Other LT Liab.: $971.00
– Equity: $5,308.00
– Total Liab. and Equity: $11,471.00
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Review: Major Income Review: Major Income Statement ItemsStatement Items Gross Profit = Sales - Costs of Goods Sold EBITDA
= Gross Profit - Cash Operating Expenses EBIT = EBDIT - Depreciation - Amortization EBT = EBIT - Interest NI or EAT = EBT- Taxes Net Income is a primary determinant of the
firm’s cashflows and, thus, the value of the firm’s shares
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An Example: DellAn Example: DellAbbreviated Income StatementAbbreviated Income StatementSales $25,265.00Costs of Goods Sold -$19,891.00Gross Profit $5,374.00Cash operating expense -$2,761.00EBITDA 2,613.00Depreciation & Amortization -$156.00Other Income (Net) -$6.00EBIT $2,451.00Interest -$0.00EBT $2,451.00Income Taxes -$785.00Special Income/Charges -$194.00Net Income (EAT) $1,666.00
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Objectives of Ratio AnalysisObjectives of Ratio Analysis Standardize financial information for
comparisons Evaluate current operations Compare performance with past
performance Compare performance against other
firms or industry standards Study the efficiency of operations Study the risk of operations
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Rationale Behind Ratio Rationale Behind Ratio AnalysisAnalysis A firm has resources It converts resources into profits through
– production of goods and services– sales of goods and services
Ratios– Measure relationships between resources and
financial flows– Show ways in which firm’s situation deviates from
Its own past Other firms The industry All firms-
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Types of RatiosTypes of Ratios Financial Ratios:
– Liquidity Ratios Assess ability to cover current obligations
– Leverage Ratios Assess ability to cover long term debt obligations
Operational Ratios:– Activity (Turnover) Ratios
Assess amount of activity relative to amount of resources used
– Profitability Ratios Assess profits relative to amount of resources used
Valuation Ratios: Assess market price relative to assets or earnings
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Current Ratio:
Quick (Acid Test) Ratio:
Liquidity Ratio Examples: DellLiquidity Ratio Examples: Dell
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Ratio Comparison: Current RatioRatio Comparison: Current Ratio
0
0.5
1
1.5
2
2.5
Cu
rren
t R
atio
Dell 2.08 1.66 1.45 1.72 1.48
Industry 1.80 1.80 1.90 1.60
Jan-96 Jan-97 Jan-98 Jan-99 Jan-00
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Debt Ratio:
Leverage Ratio Examples: Leverage Ratio Examples: DellDell
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Ratio Comparison: Debt RatioRatio Comparison: Debt Ratio
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
Deb
t R
atio
Dell 54.70% 73.07% 69.70% 66.25% 53.73%
Industry 62.96% 60.00% 52.38% 62.96%
Jan-96 Jan-97 Jan-98 Jan-99 Jan-00
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Return on Assets (ROA):
Return on Equity (ROE):
Profitability Ratio Examples: Profitability Ratio Examples: DellDell
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Profitability Ratio Examples: Profitability Ratio Examples: DellDell Net Profit Margin:
Retention Ratio
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0%
10%
20%
30%
40%
50%
60%
70%
80%
RO
E
Dell 28.13% 64.27% 73.01% 62.90% 31.39%
Industry 22.30% 30.60% 25.50% 18.00%
Jan-96 Jan-97 Jan-98 Jan-99 Jan-00
Ratio Comparison: ROERatio Comparison: ROE
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0%
5%
10%
15%
20%
25%
RO
A
Dell 12.66% 17.31% 22.12% 21.23% 14.52%
Industry 6.80% 10.90% 7.20% 5.70%
Jan-96 Jan-97 Jan-98 Jan-99 Jan-00
Ratio Comparison: ROARatio Comparison: ROA
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0%
1%
2%
3%
4%
5%
6%
7%
8%
9%
Pro
fit
Mar
gin
Dell 5.14% 6.68% 7.66% 8.00% 6.59%
Industry 3.40% 4.74% 3.79% 2.85%
Jan-96 Jan-97 Jan-98 Jan-99 Jan-00
Ratio Comparison: Profit MarginRatio Comparison: Profit Margin
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Total Asset Turnover Ratio:
Inventory Turnover Ratio:
Activity (Turnover) Ratio Activity (Turnover) Ratio Examples: DellExamples: Dell
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0%
50%
100%
150%
200%
250%
300%
350%
Ass
et T
urn
ove
r
Dell 2.47 2.59 2.89 2.65 2.20
Industry 2.00 2.30 1.90 2.00
Jan-96 Jan-97 Jan-98 Jan-99 Jan-00
Ratio Comparison: Asset TurnoverRatio Comparison: Asset Turnover
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The DuPont SystemThe DuPont System
Method to breakdown ROE into:– ROA and Equity Multiplier
ROA is further broken down as:– Profit Margin and Asset Turnover
Helps to identify sources of strength and weakness in current performance
Helps to focus attention on value drivers
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The DuPont SystemThe DuPont System
Profi t M argin T ota l A sse t T urnover
RO A E quity M ultip l ie r
RO E
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The DuPont SystemThe DuPont System
Profi t M argin T ota l A sse t T urnover
RO A E quity M ultip l ie r
RO E
EquityCommon
Assets Total
Assets Total
IncomeNet MultiplierEquity ROAROE
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The DuPont SystemThe DuPont System
Profi t M argin T ota l A sse t T urnover
RO A E quity M ultip l ie r
RO E
Assets Total
Sales
Sales
IncomeNet TurnoverAsset TotalMarginProfit ROA
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The DuPont SystemThe DuPont System
Profi t M argin T ota l A sse t T urnover
RO A E quity M ultip l ie r
RO E
EquityCommon
Assets Total
Assets Total
Sales
Sales
IncomeNet MultiplierEquity TurnoverAsset TotalMarginProfit ROE
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The DuPont System: DellThe DuPont System: Dell
Multiplier EquityROA
Multiplier EquityTurnover Asset TotalMarginProfit Equity Common
AssetsTotal
AssetsTotal
Sales
Sales
IncomeNet ROE
31.39%
2.16111452.0
2.16112.20250.0659$5,308.00
$11,471.00
$11,471.00
$25,265.00
$25,265.00
$1,666.00ROE
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A Note on Sustainable Growth A Note on Sustainable Growth and Stock Returnsand Stock Returns In the long run
– Sustainable growth and long run capital gains (g) = ROE x
Recall the relationship between stock returns (r), capital gains (g) and forward dividend yields (D1/P0):– r = g + D1/P0 = g + Do(1+g)/P0
Note: r & g must be quarterly if D is quarterly and annual if D is annual
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Example: Predicted Example: Predicted Sustainable Growth for DellSustainable Growth for Dell Based on the most
recent numbers:– ROE = 31.39% &
= 100%
– g = 0.3139 x 1 = 31.39%
– r = 0.3139 + 0/P = 31.39%
Based on 5 year averages:– ROE = 51.94% &
= 100%
– g = 0.5194 x 1 = 51.94%
– r = 0.3139 + 0/P = 51.94%
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Inventory turnover
A/R turnover
Days’ sales in receivables
Measuring the Company’s Ability to Measuring the Company’s Ability to Sell Inventory and Collect Sell Inventory and Collect ReceivablesReceivables
123
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Inventory TurnoverInventory Turnover Number of times the
average level of inventory is sold during the accounting year
Measures time required to earn return on company’s investment in inventory
1998
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Inventory TurnoverInventory Turnover
Cost of goods soldAverage inventory
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Inventory TurnoverInventory Turnover
Cost of goods soldAverage inventory
$588,017($164,816 + $168,652) / 2
= 3.53
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Inventory TurnoverInventory Turnover High ratio indicates ability
to quickly sell inventory Too high a ratio may
indicate inadequate inventory levels
Turnover ratio should be compared to historical and industry averages
Analyze significant variances
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Accounts Receivable Accounts Receivable TurnoverTurnover
Number of times the average level of A/R is collected during the accounting year
Measures ability to collect cash from credit customers
$
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Measuring a Company’s Measuring a Company’s ProfitabilityProfitability
Financial analysts pay close attention to ratios which assess a company’s ability to generate profits and operate efficiently
Creditors and investors rely on forecasts of a company’s potential to generate net income when they make lending and investing choices
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4 profitability ratios are commonly used in financial statement analysis
Measuring a Company’s Measuring a Company’s ProfitabilityProfitability
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4 profitability ratios are commonly used in financial statement analysis
Return on sales
Measuring a Company’s Measuring a Company’s ProfitabilityProfitability
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4 profitability ratios are commonly used in financial statement analysis
Return on sales Return on assets
Measuring a Company’s Measuring a Company’s ProfitabilityProfitability
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4 profitability ratios are commonly used in financial statement analysis
Return on sales Return on assetsReturn on equity
Measuring a Company’s Measuring a Company’s ProfitabilityProfitability
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Return on EquityReturn on Equity
Net income - preferred dividendsCommon contributed capital +
retained earnings
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Return on EquityReturn on Equity
Net income - preferred dividendsCommon contributed capital + retained
earnings
$30,555*($286,676 + $255,773) / 2
= .1126
* Lands’ End does not have preferred stock
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Relationship between net income available to common stockholders and the number of shares of common stock issued
Expresses net income in terms of one share of the company’s common stock
Earnings Per ShareEarnings Per Share
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Earnings Per ShareEarnings Per Share
Net income - preferred dividends# of shares of common stock
outstanding
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Earnings Per ShareEarnings Per Share
Net income - preferred dividends# of shares of common stock outstanding
$30,555,000*40,221,000 shares
= $.76
* Lands’ End does not have preferred stock; numbers shown are actual amounts
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Earnings Per ShareEarnings Per Share In addition to net
income, EPS is presented for several other elements on the corporate income statement
Discontinued operations Extraordinary items Cumulative effect of
accounting change
Earnings per share (EPS) disclosure on the face of the corporate income statement is mandatory
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Analyzing the Company’s Analyzing the Company’s Stock as an InvestmentStock as an Investment
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Investors expect to receive 2 types of returns on their investments in a corporation’s common stock
Gains earned when they sell the corporation’s stock
Periodic dividends paid by the corporation to its stockholders
Analyzing the Company’s Analyzing the Company’s Stock as an InvestmentStock as an Investment
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Financial analysts use several ratios to assess value of stock investments
Price/earnings ratio Dividend yield Book value
Analyzing the Company’s Analyzing the Company’s Stock as an InvestmentStock as an Investment
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Price/Earnings RatioPrice/Earnings Ratio
Relationship between a stock’s market price and its earnings per share
Measures the number of times one share of stock sells above the current period’s reported earnings
Assists financial analysts in deciding if a stock is overpriced or underpriced
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Calculating the P/E ratio
Price/Earnings RatioPrice/Earnings Ratio
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Calculating the P/E ratio
Market value of stockEarnings per share
Price/Earnings RatioPrice/Earnings Ratio
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Suppose the market value of Asian Art, Inc., common stock is $15.75 on the last day of its fiscal year
Calculating the P/E ratio
Market value of stockEarnings per share
Price/Earnings RatioPrice/Earnings Ratio
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Suppose the market value of Asian Art, Inc., common stock is $15.75 on the last day of its fiscal year
The income statement reports EPS of $.92
Price/Earnings RatioPrice/Earnings Ratio
Calculating the P/E ratio
Market value of stockEarnings per share
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Suppose the market value of Asian Art, Inc., common stock is $15.75 on the last day of its fiscal year
The income statement reports EPS of $.92
What is Asian Art’s price/earnings ratio?
Price/Earnings RatioPrice/Earnings Ratio
Calculating the P/E ratio
Market value of stock
Earnings per share
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Price/Earnings RatioPrice/Earnings Ratio
Market value of stockEarnings per share
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Price/Earnings RatioPrice/Earnings RatioMarket value of stock
Earnings per share
$15.75$.92
= 17.12
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Dividend YieldDividend Yield Ratio of dividends per share of stock to
the stock’s market value Indicates the percentage of a stock’s
market value “returned” to the stockholder in the form of dividends
Assists investors who desire a steady flow of dividend revenue in their decisions to invest in a particular stock
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Dividend YieldDividend Yield
Annual dividends per shareStock’s market value per share
If Asian Art paid a total of $1.25 in dividends per share, what would be its dividend yield, assuming the same market value for its stock ($15.75)?
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Dividend YieldDividend Yield
Annual dividends per shareStock’s market value per share
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See you in the next chapterSee you in the next chapterBRSBRS
Life education
God and Poor man
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Chapter-8 capital structure& cost Chapter-8 capital structure& cost of capitalof capital
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Chapter 16: Capital Structure Chapter 16: Capital Structure Decisions: The BasicsDecisions: The Basics
Overview and preview of capital structure effects Business versus financial risk The impact of debt on returns Capital structure theory Example: Choosing the optimal structure Setting the capital structure in practice
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Basic DefinitionsBasic Definitions V = value of firm FCF = free cash flow WACC = weighted average cost of
capital rs and rd are costs of stock and debt re and wd are percentages of the firm
that are financed with stock and debt.
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How can capital structure affect How can capital structure affect value?value?
1tt
t
)WACC1(
FCFV
(Continued…)
WACC = wd (1-T) rd + we rs
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A Preview of Capital Structure A Preview of Capital Structure EffectsEffects The impact of capital structure on value
depends upon the effect of debt on:– WACC– FCF
(Continued…)
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The Effect of Additional Debt The Effect of Additional Debt on WACCon WACC Debtholders have a prior claim on cash
flows relative to stockholders. – Debtholders’ “fixed” claim increases risk of
stockholders’ “residual” claim.– Cost of stock, rs, goes up.
Firm’s can deduct interest expenses.– Reduces the taxes paid– Frees up more cash for payments to
investors– Reduces after-tax cost of debt
(Continued…)
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The Effect on WACC The Effect on WACC (Continued)(Continued) Debt increases risk of bankruptcy
– Causes pre-tax cost of debt, rd, to increase
Adding debt increase percent of firm financed with low-cost debt (wd) and
decreases percent financed with high-cost equity (we)
Net effect on WACC = uncertain.
(Continued…)
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The Effect of Additional Debt The Effect of Additional Debt on FCFon FCF Additional debt increases the
probability of bankruptcy.– Direct costs: Legal fees, “fire” sales, etc.– Indirect costs: Lost customers, reduction in
productivity of managers and line workers, reduction in credit (i.e., accounts payable) offered by suppliers
(Continued…)
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Impact of indirect costs– NOPAT goes down due to lost customers
and drop in productivity– Investment in capital goes up due to
increase in net operating working capital (accounts payable goes up as suppliers tighten credit).
(Continued…)
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Additional debt can affect the behavior of managers.– Reductions in agency costs: debt “pre-
commits,” or “bonds,” free cash flow for use in making interest payments. Thus, managers are less likely to waste FCF on perquisites or non-value adding acquisitions.
– Increases in agency costs: debt can make managers too risk-averse, causing “underinvestment” in risky but positive NPV projects.
(Continued…)
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Asymmetric Information and Asymmetric Information and SignalingSignaling Managers know the firm’s future
prospects better than investors. Managers would not issue additional
equity if they thought the current stock price was less than the true value of the stock (given their inside information).
Hence, investors often perceive an additional issuance of stock as a negative signal, and the stock price falls.
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Uncertainty about future pre-tax operating income (EBIT).
Note that business risk focuses on operating income, so it ignores financing effects.
What is business risk?What is business risk?
Probability
EBITE(EBIT)0
Low risk
High risk
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Business Risks- Unit-9
Uncertainty about demand (unit sales).
Uncertainty about output prices.
Uncertainty about input costs.
Product and other types of liability.
Degree of operating leverage (DOL).
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What is operating leverage, and how does What is operating leverage, and how does it affect a firm’s business risk?-9.3( 252)it affect a firm’s business risk?-9.3( 252)
Operating leverage is the change in EBIT caused by a change in quantity sold.
The higher the proportion of fixed costs within a firm’s overall cost structure, the greater the operating leverage.
(More...)
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Higher operating leverage leads to more business risk, because a small sales decline causes a larger EBIT decline.
(More...)
Sales
$ Rev.TC
F
QBE Sales
$ Rev.
TC
F
QBE
EBIT}
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Operating BreakevenOperating Breakeven
Q is quantity sold, F is fixed cost, V is
variable cost, TC is total cost, and P is
price per unit.
Operating breakeven = QBE
QBE = F / (P – V)
Example: F=$200, P=$15, and V=$10:
QBE = $200 / ($15 – $10) = 40.(More...)
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Probability
EBITL
Low operating leverage
High operating leverage
EBITH
In the typical situation, higher operating leverage leads to higher expected EBIT, but also increases risk.
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Business Risk versus Financial Risk-253Business Risk versus Financial Risk-253
Business risk:– Uncertainty in future EBIT.– Depends on business factors such as competition,
operating leverage, etc. Financial risk:
– Additional business risk concentrated on common stockholders when financial leverage is used.
– Depends on the amount of debt and preferred stock financing.
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Firm U Firm L
No debt $10,000 of 12% debt
$20,000 in assets $20,000 in assets
40% tax rate 40% tax rate
Consider Two Hypothetical Firms
Both firms have same operating leverage, business risk, and EBIT of $3,000. They differ only with respect to use of debt.
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Impact of Leverage on Returns
EBIT $3,000 $3,000Interest 0 1,200EBT $3,000 $1,800Taxes (40%) 1 ,200 720NI $1,800 $1,080
ROE 9.0% 10.8%
Firm U Firm L
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Why does leveraging increase Why does leveraging increase return?return?
More EBIT goes to investors in Firm L.
– Total dollars paid to investors: U: NI = $1,800. L: NI + Int = $1,080 + $1,200 = $2,280.
– Taxes paid: U: $1,200; L: $720.
Equity $ proportionally lower than NI.
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Now consider the fact that EBIT is not known with certainty. What is the
impact of uncertainty on stockholder profitability and risk for Firm U and
Firm L?
Continued…
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Firm U: Unleveraged
Prob. 0.25 0.50 0.25EBIT $2,000 $3,000 $4,000Interest 0 0 0EBT $2,000 $3,000 $4,000Taxes (40%) 800 1,200 1,600NI $1,200 $1,800 $2,400
Economy
Bad Avg. Good
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Firm L: Leveraged
Prob.* 0.25 0.50 0.25EBIT* $2,000 $3,000 $4,000Interest 1,200 1,200 1,200EBT $ 800 $1,800 $2,800Taxes (40%) 320 720 1,120NI $ 480 $1,080 $1,680
*Same as for Firm U.
Economy
Bad Avg. Good
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Firm U Bad Avg. GoodBEP 10.0% 15.0% 20.0%ROIC 6.0% 9.0% 12.0%ROE 6.0% 9.0% 12.0%TIE n.a. n.a. n.a.
Firm L Bad Avg. GoodBEP 10.0% 15.0% 20.0%ROIC 6.0% 9.0% 12.0%ROE 4.8% 10.8% 16.8%TIE 1.7x 2.5x 3.3x
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Profitability Measures:
E(BEP) 15.0% 15.0%E(ROIC) 9.0% 9.0%E(ROE) 9.0% 10.8%
Risk Measures:ROIC 2.12% 2.12%
ROE2.12% 4.24%
U L
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ConclusionsConclusions Basic earning power (EBIT/TA) and
ROIC (NOPAT/Capital = EBIT(1-T)/TA) are unaffected by financial leverage.
L has higher expected ROE: tax savings and smaller equity base.
L has much wider ROE swings because of fixed interest charges. Higher expected return is accompanied by higher risk. (More...)
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In a stand-alone risk sense, Firm L’s stockholders see much more risk than Firm U’s.
– U and L: ROIC = 2.12%.
– U: ROE = 2.12%.
– L: ROE = 4.24%.
L’s financial risk is ROE - ROIC = 4.24% - 2.12% = 2.12%. (U’s is zero.)
(More...)
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For leverage to be positive (increase expected ROE), BEP must be > rd.
If rd > BEP, the cost of leveraging will be higher than the inherent profitability of the assets, so the use of financial leverage will depress net income and ROE.
In the example, E(BEP) = 15% while interest rate = 12%, so leveraging “works.”
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Capital Structure Theory-261Capital Structure Theory-261
MM theory– Zero taxes
– Corporate taxes
– Corporate and personal taxes
Trade-off theory
Signaling theory
Debt financing as a managerial constraint
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MM Theory: Zero TaxesMM Theory: Zero Taxes MM prove, under a very restrictive set of
assumptions, that a firm’s value is unaffected by its financing mix:
– VL = VU.
Therefore, capital structure is irrelevant. Any increase in ROE resulting from financial
leverage is exactly offset by the increase in risk (i.e., rs), so WACC is constant.
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MM Theory: Corporate TaxesMM Theory: Corporate Taxes Corporate tax laws favor debt financing over
equity financing.
With corporate taxes, the benefits of financial leverage exceed the risks: More EBIT goes to investors and less to taxes when leverage is used.
MM show that: VL = VU + TD.
If T=40%, then every dollar of debt adds 40 cents of extra value to firm.
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Value of Firm, V
0Debt
VL
VU
MM relationship between value and debt when corporate taxes are considered.
Under MM with corporate taxes, the firm’s value increases continuously as more and more debt is used.
TD
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Cost of Capital (%)
0 20 40 60 80 100Debt/Value Ratio (%)
MM relationship between capital costs and leverage when corporate taxes are
considered.
rs
WACCrd(1 - T)
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Miller’s Theory: Corporate and Miller’s Theory: Corporate and Personal Taxes- Page261(9.4)Personal Taxes- Page261(9.4)
Personal taxes lessen the advantage of corporate debt:– Corporate taxes favor debt financing since
corporations can deduct interest expenses.– Personal taxes favor equity financing, since
no gain is reported until stock is sold, and long-term gains are taxed at a lower rate.
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Miller’s Model with Corporate and Personal Taxes
VL = VU + [1 - ]D.
Tc = corporate tax rate.Td = personal tax rate on debt income.Ts = personal tax rate on stock income.
(1 - Tc)(1 - Ts)(1 - Td)
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Tc = 40%, Td = 30%, and Ts = 12%.
VL = VU + [1 - ]D
= VU + (1 - 0.75)D
= VU + 0.25D.
Value rises with debt; each $1 increase in debt raises L’s value by $0.25.
(1 - 0.40)(1 - 0.12)(1 - 0.30)
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Conclusions with Personal Conclusions with Personal TaxesTaxes Use of debt financing remains
advantageous, but benefits are less than under only corporate taxes.
Firms should still use 100% debt.
Note: However, Miller argued that in equilibrium, the tax rates of marginal investors would adjust until there was no advantage to debt.
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Trade-off TheoryTrade-off Theory
MM theory ignores bankruptcy (financial distress) costs, which increase as more leverage is used.
At low leverage levels, tax benefits outweigh bankruptcy costs.
At high levels, bankruptcy costs outweigh tax benefits.
An optimal capital structure exists that balances these costs and benefits.
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Signaling TheorySignaling Theory
MM assumed that investors and managers have the same information.
But, managers often have better information. Thus, they would:– Sell stock if stock is overvalued.
– Sell bonds if stock is undervalued. Investors understand this, so view new stock
sales as a negative signal. Implications for managers?
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Debt Financing and Agency Debt Financing and Agency CostsCosts One agency problem is that managers
can use corporate funds for non-value maximizing purposes.
The use of financial leverage:– Bonds “free cash flow.”– Forces discipline on managers to avoid perks
and non-value adding acquisitions.
(More...)
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A second agency problem is the potential for “underinvestment”.– Debt increases risk of financial distress.
– Therefore, managers may avoid risky projects even if they have positive NPVs.
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Choosing the Optimal Capital Structure: Example
Currently is all-equity financed.
Expected EBIT = $500,000.
Firm expects zero growth.
100,000 shares outstanding; rs = 12%;
P0 = $25; T = 40%; b = 1.0; rRF = 6%;
RPM = 6%.e-mail: [email protected] www.augustin.co.nr
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Estimates of Cost of Debt
Percent financedwith debt, wd rd
0% - 20% 8.0% 30% 8.5% 40% 10.0% 50% 12.0%
If company recapitalizes, debt would be issued to repurchase stock.
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The Cost of Equity at Different The Cost of Equity at Different Levels of Debt: Hamada’s Levels of Debt: Hamada’s Equation Equation MM theory implies that beta changes
with leverage.
bU is the beta of a firm when it has no debt (the unlevered beta)
bL = bU [1 + (1 - T)(D/S)]
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The Cost of Equity for wThe Cost of Equity for wdd = =
20%20% Use Hamada’s equation to find beta:
bL = bU [1 + (1 - T)(D/S)] = 1.0 [1 + (1-0.4) (20% / 80%) ] = 1.15 Use CAPM to find the cost of equity:
rs = rRF + bL (RPM) = 6% + 1.15 (6%) = 12.9%
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Cost of Equity vs. LeverageCost of Equity vs. Leverage
wd D/S bL rs
0% 0.00 1.000 12.00%
20% 0.25 1.150 12.90%
30% 0.43 1.257 13.54%
40% 0.67 1.400 14.40%
50% 1.00 1.600 15.60%
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The WACC for wThe WACC for wdd = 20% = 20%
WACC = wd (1-T) rd + we rs
WACC = 0.2 (1 – 0.4) (8%) + 0.8 (12.9%)
WACC = 11.28%
Repeat this for all capital structures under
consideration.
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WACC vs. LeverageWACC vs. Leverage
wd rd rs WACC
0% 0.0% 12.00% 12.00%
20% 8.0% 12.90% 11.28%
30% 8.5% 13.54% 11.01%
40% 10.0% 14.40% 11.04%
50% 12.0% 15.60% 11.40%
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Corporate Value for wCorporate Value for wdd = 20% = 20%
V = FCF / (WACC-g)
g=0, so investment in capital is zero; so
FCF = NOPAT = EBIT (1-T).
NOPAT = ($500,000)(1-0.40) = $300,000.
V = $300,000 / 0.1128 = $2,659,574.
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Corporate Value vs. LeverageCorporate Value vs. Leverage
wd WACC Corp. Value
0% 12.00% $2,500,000
20% 11.28% $2,659,574
30% 11.01% $2,724,796
40% 11.04% $2,717,391
50% 11.40% $2,631,579
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Debt and Equity for wDebt and Equity for wdd = 20% = 20%
The dollar value of debt is:
D = wd V = 0.2 ($2,659,574) = $531,915.
S = V – D
S = $2,659,574 - $531,915 = $2,127,659.
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Debt and Stock Value vs. Debt and Stock Value vs. LeverageLeverage
wd Debt, D Stock Value, S
0% $0 $2,500,000
20% $531,915 $2,127,660
30% $817,439 $1,907,357
40% $1,086,957 $1,630,435
50% $1,315,789 $1,315,789Note: these are rounded; see Ch 16 Mini Case.xls for full calculations.
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Wealth of ShareholdersWealth of Shareholders
Value of the equity declines as more debt is issued, because debt is used to repurchase stock.
But total wealth of shareholders is value of stock after the recap plus the cash received in repurchase, and this total goes up (It is equal to Corporate Value on earlier slide).
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Stock Price for wStock Price for wdd = 20% = 20% The firm issues debt, which changes its
WACC, which changes value.
The firm then uses debt proceeds to
repurchase stock.
Stock price changes after debt is issued, but
does not change during actual repurchase (or
arbitrage is possible). (More…)
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Stock Price for wStock Price for wdd = 20% = 20%
(Continued)(Continued) The stock price after debt is issued
but before stock is repurchased
reflects shareholder wealth:
– S, value of stock
– Cash paid in repurchase.
(More…)
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Stock Price for wStock Price for wdd = 20% = 20%
(Continued)(Continued) D0 and n0 are debt and outstanding shares
before recap.
D - D0 is equal to cash that will be used to
repurchase stock.
S + (D - D0) is wealth of shareholders’ after
the debt is issued but immediately before the
repurchase. (More…)
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Stock Price for wStock Price for wdd = 20% = 20%
(Continued)(Continued) P = S + (D – D0)
n0
P = $2,127,660 + ($531,915 – 0)
100,000
P = $26.596 per share.
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Number of Shares Number of Shares RepurchasedRepurchased # Repurchased = (D - D0) / P
# Rep. = ($531,915 – 0) / $26.596
= 20,000. # Remaining = n = S / P
n = $2,127,660 / $26.596
= 80,000.
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Price per Share vs. LeveragePrice per Share vs. Leverage
# shares # shares
wd P Repurch. Remaining
0% $25.00 0 100,000
20% $26.60 20,000 80,000
30% $27.25 30,000 70,000
40% $27.17 40,000 60,000
50% $26.32 50,000 50,000
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Optimal Capital StructureOptimal Capital Structure
wd = 30% gives:
– Highest corporate value
– Lowest WACC
– Highest stock price per share
But wd = 40% is close. Optimal
range is pretty flat.
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Debt ratios of other firms in the industry.
Pro forma coverage ratios at different capital structures under different economic scenarios.
Lender and rating agency attitudes(impact on bond ratings).
What other factors would managers consider when setting the target
capital structure?
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Reserve borrowing capacity.
Effects on control.
Type of assets: Are they tangible, and hence suitable as collateral?
Tax rates.
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Capital Budgeting-Chapter-Capital Budgeting-Chapter-11(297)11(297)
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Ch. 11:Ch. 11:Capital BudgetingCapital BudgetingDecision CriteriaDecision Criteria
1999, Prentice Hall, Inc.396
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Capital BudgetingCapital Budgeting:: the process of the process of planning for purchases of long-planning for purchases of long-
term assets.term assets. example: Suppose our firm must decide whether
to purchase a new plastic molding machine for $125,000. How do we decide?
Will the machine be profitable? Will our firm earn a high rate of return
on the investment?397
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Decision-making Criteria in Decision-making Criteria in Capital BudgetingCapital Budgeting
How do we decide if a capital investment
project should be accepted or rejected?
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Capital BudgetingCapital Budgeting
Time value of money is a fundamental concept. If the interest rate in the economy is 10%, $1 today is worth $1.10 net year, $1.21 two years from today and $1.331 three years from today etc…
So, $1.10 next year $1.21 two years from now, $1.331 three years from now are all worth $1 today.
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100(1+.12)=112(1.12)=125.44 100=112 100=125.44 112=100 125.44=100 Today’s worth of 112 at the end 1st year is =100 today 100=112/1.12 (1+K) A(1+K)^n=FV PV(1+K)^n=FV
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Capital BudgetingCapital Budgeting
Now if I am to get $1.1 next year, $1.21 the year after and $1.331 the third year, what should I be willing to pay for the right to this stream of cash flows assuming that my only other alternative is to put the money in a bank account and get 10% interest?
Ans: $3, why?– Each year’s cash inflow is worth a dollar
today.
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Capital BudgetingCapital Budgeting
If someone wants to sell me this investment for $2.90, my NPV (net present value) of the project is _____
Ans: 10cents. How computed?– The cash inflows are worth $3 in today’s
dollars, the outflows are $2.90 in today’s dollars, so the NPV (always in current dollars) is Cash Inflows – Cash Outflows = $0.10.
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Capital BudgetingCapital Budgeting
The basic equation of compound interest is shown on p. 96:
PV(1+r)n = FV (1+r)n is called the “factor” To get the present value of a stream of cash
inflows divide each future inflow amount by the factor for that year (this is called deflating the FV) and add all the deflated inflows … this is the formula on
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Capital BudgetingCapital Budgeting
To get the present value of a stream of cash outflows compute the sum of the deflated cash outflows.
To compute NPV of a project subtract PV(outflows) from PV(Inflows).
To do the computations by hand you can use special formulas for perpetuities and annuities. We will ignore this.
For this course, you should know how to do the computations using a financial calculator.
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Principles underlying Cash FlowsPrinciples underlying Cash Flows
1. Decision based on cash flows-Non cash charges not considered ie.Depreciation for tax calculation only. We add depreciation after calculating tax with profit after tax
2.The amount of long term funds are used for capital investment purpose are considered.
3.Cash inflow is defined as profit after tax but before depreciation
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Principles underlying Cash FlowsPrinciples underlying Cash Flows
4.Interest on long term loan is not considered as it is used for discounting purpose.
5. Incremental cost and incremental benefits are considered.
6.Quantify the detremental impact or benefits are considered.
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Principles underlying Cash FlowsPrinciples underlying Cash Flows
7.Sunk cost are irrelevant. 8.Opportunity costs are to be
considered. 9. share of existing overheads has no
value 10. short term loan –interest on such
loan to be deducted from contribution.
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Principles underlying Cash FlowsPrinciples underlying Cash Flows
11. salvage value to be determined and tax benefit on short term capital gain to be deducted from salvage value. And tax benefit on short term capital loss to be added to salvage value.
12. while valuing lease/buy tax benefit on interest payment and tax benefit on depreciation have to be deducted from equated annual/monthly instalment.
13. While valuing lease net lease payment after tax has to be considered.
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Relevant cost and relevant Relevant cost and relevant benefitbenefit
Required for decision making Costs that are affected by by the decision Costs and benefits that are independent of
a decision are not relevant and need not be considered.
Future cash inflows and future outflows are relevant.
Sunk costs are irrelevant
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410
Relevant cost and relevant Relevant cost and relevant benefitbenefit Allocated common costs are irrelevant Opportunity costs are relevant (shadow
price) Incremental costs are relevant
incremental benefits are relevant. Avoidable costs are relevant and
unavoidable costs are irrelevant for decision making.
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Relevant and irrelevantRelevant and irrelevant
Five engineers already employed on monthly salary but will not be sent out if not employed in an another project. The salary paid to those engineers are relevant or irrelevant to estimate the price for the project?
Two more engineers are selected exclusive to the new project-are the costs relevant to take decision for new project?
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Examples:Examples: 1.Aztec. Spent Rs.20,00,000 for feasibility study before expansion is dead cost (sunk cost) therefore it is not considered as cash outflow.
2. If feasibility study can be sold to other companies say, for Rs. 5,00,000 is an opportunity cost which should be considered as cash inflow for the project.
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Examples:Examples:
3. Plant is Rs. 36,00,000, working capital is Rs. 24,00,000 required for a project. The company issues Equity capital Rs.26,00,000 and term loan Rs.16,00,000 then the cash outflow for the project is Rs. 42,00,000 as long term funds such as Equity capital and long term loan equal to Rs.42,00,000. If short term funds are employed for long term purpose we do not consider such funds as out flow.
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DepreciationDepreciation 4. Depreciation should be calculated as per
Block assets method. The assets are similar nature having the rate of depreciation the costs are to be clubbed together. If any new asset(s) purchased during the year the amounts incurred on such asset are to be added.
Depreciation can not be calculated in the year of sale but the sale value(scrap ) is deducted from the block value.
If the some of the assets of the block are not sold and WDV(Balance in the block) exceeds sale value of the assets of the same block we can provide depreciation on the balance.
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If Sale value exceeds the block WDV value there is a capital gain which attracts capital gain. In such situation sale minus tax on short term capital gain will be cash inflow.
If all assets of the block is sold and the WDV of the block exceeds sale value we get short term capital loss. The real cash inflow is equal to scrap plus tax benefit on short term capital loss .
Example:1. Plant and machinery costs Rs.5,00,000 salvage value is Rs. 1,00,000
The rate of depreciation as per Companies Act is 20% whereas income tax rate of depreciation is 25% . How do we calculate depreciation? Life is 3 years
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.75*5,00,000= = =2,10,937.5-1,00,000 = 1,10,937(loss) 1,00,000+1,10937(.339) =1,37,607(Inflow) Suppose salvage value is 3,00,000Short term capital gain= 3,00,000-2,10,937=89,063Tax on 89,063=89063*.339=30,192Net cash inflow =3,00,000-30,192 =2,69,807.This should be discounted to today’s value
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Depreciation and their impact Depreciation and their impact in fin.A/c, fin.Mgt.,Income tax in fin.A/c, fin.Mgt.,Income tax etc.etc.
By Prof.Augustin Amaladas
M.Com.,AICWA.,B.ED.,PGDFM
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MeaningMeaning
Reduction in the value of fixed assets due to wear and tear and due to effluction of time.
All assets except land can be depreciated. The underlying principle of depreciation is
that cash flows generated by an asset over its life cannot be considered income until provision is made for asset’s replacement.
It is an allocation of past cash flows. Depreciation expense appears on the income
statement, but has no impact on the statement of cash flows.
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Depreciation methodsDepreciation methods
Straight line method Written down value method Sinking fund method Machine Hour rate method Unit cost method Depletion asset method Depreciation Fund method Sum of digits method Accelerated depreciation method
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Impact on booksImpact on books
Depreciation Expense Net income Asset Equity Return on assets Return on Equity Turnover Ratios Cash flow NPV IRR Pay back
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Impact of TaxImpact of Tax
Block asset method Purchase of Asset Sale of Asset Short term/Long-term Capital asset Asset used less than 180 days during the
previous year Asset purchased preceding previous year
but put into use less than 180 days during the current previous year
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Inflation and Inflation and DepreciationDepreciation
If prices are rising, Incomes and taxes will be over stated / Under stated
Replacement?
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Tax planningTax planning
U/S-32 of IT act When own funds used in plant and machinery
-18.66% saving When borrowed funds used –Tax savings
through depreciation-22.91% Depreciation on intangible assets can be
provided at 25% rate. The eligible assets are: Know how, patent right, copy right,
Trade mark, licenses, franchises, any other commercial rights
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Carry forward and set of depreciation in Carry forward and set of depreciation in the subsequent periodsthe subsequent periods
Any number of years provided filed returns
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Amalgamation, absorption, Amalgamation, absorption, reconstruction and demergerreconstruction and demergerCAN NEW CO. CARRY FORWAD AND SET OF
LOSS AND DEPRECIATION? SEC 72 A TO BE FULFILLED1. ACCUMULATED LOSSES REMAIN
UNABSORBED FOR 3 OR MORE YEARS2. 75% OF BOOK VALUE TO BE HELD ATLEAST
FOR 2 YEARS BEFORE AMALGAMATION
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1. THE AMALGAMATED CO. CONTINUES TO HOLD 3/4TH OF BOOK VALUE ATLEAST FOR 5 YEARS
2. NEW CO. SHOULD CONTINUE FOR ANOTHER 5 YEARS
3. NEW CO. SHOULD ACHIEVE ATLEAST 50%OF INSTALLED CAPACITY BEFORE END OF 5 YEARS AND SHOULD CONTINUE FOR 5 YEARS
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A LTD AMALGAMATES WITH B LTD AS ON 2007A LTD AMALGAMATES WITH B LTD AS ON 2007
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OTHER TAX OTHER TAX BENEFITSBENEFITS1. Expenditure on amalgamation or de-merger –
allowed under sec 35DD both revenue and capital expenditure allowed
2. Expenditure on scientific research can be carried forward
3. Expenditure on acquisition of patent rights copyrights – depreciation can be provided
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OTHER TAX BENEFITSOTHER TAX BENEFITS
1. Expenditure for obtaining license for tele-communication service can be written off
2. Preliminary expenses3. Capital expenditure on family
planning4. Bad debts are allowed
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Calculation of Depreciation- Calculation of Depreciation- continuescontinues
Example:1. Plant and machinery costs Rs.5,00,000 salvage value is Rs. 1,00,000 The rate of depreciation as per Companies Act is 20% whereas income
tax rate of depreciation is 25% . Life is 3 years. Tax rate=30% surcharge 10% and 3% educational cess.
How do we calculate Capital loss? Cash Inflow at the end of third year?.
Short term capital loss Block value at the end of 2nd year- scrap at the end of three years =Rs.2,81,750-Rs. 1,00,000
=Rs. 1,81,750 Cash Inflow at the end of third year =Rs.1,00,000+(*33.90% *1,81,750)
= Rs.1,61,613
*Tax= 30%+10%(30%)+3%*33=33.99%
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Depreciation as per Income tax Depreciation as per Income tax actact
Year Beginning value
Depreciation25%
End value
123
5,00,0003,75,0002,81,750
1,25,000 93,750 No
3,75,0002,81,750
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owned funds Vs borrowed fundsowned funds Vs borrowed funds
If owned funds are invested in plant and machinery one can get tax saving on depreciation.
If assets are acquired on borrowed funds one can get tax benefit on depreciation and also tax benefit on interest.
The actual cash out flow will be annual instalment-tax saving on depreciation-tax saving on interest.
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Exercise-2 owned funds Vs Exercise-2 owned funds Vs borrowed fundsborrowed funds An assessee who carries on a business, acquires a
plant and machinery costing Rs.10,00,000 in a year one. This plant is used for 5 years and will be discarded at the end of 5th year for Rs. 2,00,000.
Tax rate is 30%, surcharge is 10% and educational cess is 3%.Assume the plant is sold at the end of the 5th year. Cost of Capital is 10% and rate of depreciation is 15%.
Required: 1. Evaluate when owned funds are invested 2. When 75% cost of plant is financed by deposit
taken from public at the rate of 9%pa.
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year beginningDepreciati
on End valueTax benefit
on depre
discount factor
present value
1 10,00,000 1,50,000 8,50,000 50,850 0.909 50,799
2 8,50,000 1,27,500 7,22,500 43,223 0.826 35,702
3 7,22,500 1,08,375 6,14,125 36,739 0.751 27,591
4 6,14 112 92119 5,22,006 31,228 0.683 21,328
55,22,006
Present value
0.621,35,420
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Present value of scrap =*3,09,158*.620=1,91,678 *Scrap value=2,00,000 *Calculation of short term capital gain as the asset is depreciated Book value at the end of 4th year-scrap value=5,22,000-2,00,000 =3,22,000Tax savings on STCG=3,22,000*.339
=*1,09,158Present value on tax saving on STCG= 1,09,158*0.620=37,004=67,678Net present cash out flow valueInitial cash out flow-Present value of tax savings on depreciation-
present value of cash inflow on scrap Rs.10,00,000-Rs.1,35,420-Rs.1,91,678=Rs.6,72,902
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Lease vs PurchaseLease vs Purchase Purchase with Borrowed Funds:- If assets are acquired on borrowed funds one can get
tax benefit on depreciation and also tax benefit on interest.
The actual cash out flow will be annual instalment-tax saving on depreciation-tax saving on interest.
Lease- Deduction can be claimed in respect of lease rentals
and lease management fees.
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Exercise-3 Lease vs PurchaseExercise-3 Lease vs Purchase An assessee who carries on a business, acquires a plant and
machinery costing Rs.10,00,000 in a year one. This plant is used for ten years and will be discarded at the end of ten years for Rs. 2,00,000.
Tax rate is 30%, surcharge is 10% and educational cess is 3%.Assume the plant is sold at the end of the 10th year. Discounting rate is 10% and rate of depreciation is 15%.
Required: 1. Evaluate when plant taken on lease by paying lease rental of
Rs. 3,50,000 for the first five years in the beginning and 50,000 thereafter for the remaining years.
2. When 75% cost of plant is financed by deposit taken from public at the rate of 9%p.a.
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Purchase by instalment vs Hire Purchase by instalment vs Hire
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441
Life educationLife education
Apologies to the ---------
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Short cut techniques by using Short cut techniques by using ordinary calculator.ordinary calculator. Future value at 10% year 1. 1.1Year 2. 1.1*=Year 3. 1.1*= = Year 5. 1.1*= = = =
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Scientific calculatorScientific calculator
Amount*1.1= for the first year Amount *1.1*1.1= for the second year Amount *1.1*1.1= = = = 6th year value
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Present value by ordinary Present value by ordinary calculatorcalculator 1st year 1.1/= 2nd year 1.1/= = 6rd year 1.1/= = = = = =
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WDV value WDV value 15% depreciation as per WDV value at the end of 1st year= 0.85*asset value=Value at the end of 2nd year =0 .85*asset value= =Value at the end of 6th year=0.85*asset value= = = = = =
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The Ideal Evaluation Method should:
a) include all cash flows that occur during the life of the project,
b) consider the time value of money,c) incorporate the required rate of return
on the project.
Decision-making Criteria in Decision-making Criteria in Capital BudgetingCapital Budgeting
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Payback PeriodPayback Period
The number of years needed to recover the initial cash outlay.
How long will it take for the project to generate enough cash to pay for itself?
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Payback PeriodPayback Period
How long will it take for the project to generate enough cash to pay for itself?
00 11 22 33 44 55 8866 77
(500) 150 150 150 150 150 150 150 150 (500) 150 150 150 150 150 150 150 150
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Payback PeriodPayback Period
How long will it take for the project to generate enough cash to pay for itself?
00 11 22 33 44 55 8866 77
(500) 150 150 150 150 150 150 150 150 (500) 150 150 150 150 150 150 150 150
Payback period = 3.33 years.Payback period = 3.33 years.
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Is a 3.33 year payback period good? Is it acceptable? Firms that use this method will
compare the payback calculation to some standard set by the firm.
If our senior management had set a cut-off of 5 years for projects like ours, what would be our decision?
Accept the project.
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Drawbacks of Payback Period:Drawbacks of Payback Period:
Firm cutoffs are subjective. Does not consider time value of money. Does not consider any required rate of
return. Does not consider all of the project’s cash
flows.
452e-mail: [email protected] www.augustin.co.nr
Drawbacks of Payback Period:Drawbacks of Payback Period:
Does not consider all of the project’s cash flows.
00 11 22 33 44 55 8866 77
(500) 150 150 150 150 150 (300) 0 0 (500) 150 150 150 150 150 (300) 0 0
Consider this cash flow stream!453
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Drawbacks of Payback Period:Drawbacks of Payback Period:
Does not consider all of the project’s cash flows.
00 11 22 33 44 55 8866 77
(500) 150 150 150 150 150 (300) 0 0 (500) 150 150 150 150 150 (300) 0 0
This project is clearly unprofitable, but we would accept it based on a 4-year paybackcriterion! 454
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Discounted PaybackDiscounted Payback
Discounts the cash flows at the firm’s required rate of return.
Payback period is calculated using these discounted net cash flows.
Problems: Cutoffs are still subjective. Still does not examine all cash flows.
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Discounted PaybackDiscounted Payback
00 11 22 33 44 55
(500) 250 250 250 250 250 (500) 250 250 250 250 250
Discounted
Year Cash Flow CF (14%) 0 -500 -500.00 1 250 219.30
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Discounted PaybackDiscounted Payback
00 11 22 33 44 55
(500) 250 250 250 250 250 (500) 250 250 250 250 250
Discounted
Year Cash Flow CF (14%) 0 -500 -500.00 1 250 219.30 1 year 280.70
457e-mail: [email protected] www.augustin.co.nr
Discounted PaybackDiscounted Payback
00 11 22 33 44 55
(500) 250 250 250 250 250 (500) 250 250 250 250 250
Discounted
Year Cash Flow CF (14%) 0 -500 -500.00 1 250 219.30 1 year 280.70 2 250 192.38
458e-mail: [email protected] www.augustin.co.nr
Discounted PaybackDiscounted Payback
00 11 22 33 44 55
(500) 250 250 250 250 250 (500) 250 250 250 250 250
Discounted
Year Cash Flow CF (14%) 0 -500 -500.00 1 250 219.30 1 year 280.70 2 250 192.38 2
years 88.32 459
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Discounted PaybackDiscounted Payback
00 11 22 33 44 55
(500) 250 250 250 250 250 (500) 250 250 250 250 250
DiscountedYear Cash Flow CF (14%) 0 -500 -500.00 1 250 219.30 1 year 280.70 2 250 192.38 2
years 88.32 3 250 168.75 460
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Discounted PaybackDiscounted Payback
00 11 22 33 44 55
(500) 250 250 250 250 250 (500) 250 250 250 250 250
Discounted
Year Cash Flow CF (14%) 0 -500 -500.00 1 250 219.30 1 year 280.70 2 250 192.38 2 years 88.32 3 250 168.75 .52 years
461e-mail: [email protected] www.augustin.co.nr
Discounted PaybackDiscounted Payback
00 11 22 33 44 55
(500) 250 250 250 250 250 (500) 250 250 250 250 250
Discounted
Year Cash Flow CF (14%) 0 -500 -500.00 1 250 219.30 1 year 280.70 2 250 192.38 2 years 88.32 3 250 168.75 .52 years
The Discounted The Discounted Payback Payback
is is 2.522.52 years years
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Other MethodsOther Methods
1) Net Present Value (NPV)2) Profitability Index (PI)3) Internal Rate of Return (IRR)
Each of these decision-making criteria: Examines all net cash flows, Considers the time value of money, and Considers the required rate of return.
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Net Present ValueNet Present Value
NPV = the total PV of the annual net NPV = the total PV of the annual net cash flows - the initial outlay.cash flows - the initial outlay.
NPVNPV = - IO = - IO ACFACFtt
(1 + k)(1 + k) tt
nn
t=1t=1
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Net Present ValueNet Present Value
Decision RuleDecision Rule::
If NPV is positive, If NPV is positive, ACCEPTACCEPT.. If NPV is negative, If NPV is negative, REJECTREJECT..
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NPV ExampleNPV Example
Suppose we are considering a capital investment that costs $276,400 and provides annual net cash flows of $83,000 for four years and $116,000 at the end of the fifth year. The firm’s required rate of return is 15%.
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NPV ExampleNPV Example
0 1 2 3 4 5
(276,400)83,000 83,000 83,000 83,000 116,000
Suppose we are considering a capital investment that costs $276,400 and provides annual net cash flows of $83,000 for four years and $116,000 at the end of the fifth year. The firm’s required rate of return is 15%.
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NPV with the HP10B:NPV with the HP10B:
-276,400 CFj 83,000 CFj 4 shift Nj 116,000 CFj 15 I/YR shift NPV You should get NPV = 18,235.71.
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NPV with the HP17BII:NPV with the HP17BII:
Select CFLO mode. FLOW(0)=? -276,400 INPUT FLOW(1)=? 83,000 INPUT #TIMES(1)=1 4 INPUT FLOW(2)=? 116,000 INPUT #TIMES(2)=1 INPUT EXIT CALC 15 I% NPV You should get NPV = 18,235.71
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NPV with the TI BAII Plus:NPV with the TI BAII Plus:
Select CF mode.
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NPV with the TI BAII Plus:NPV with the TI BAII Plus:
Select CF mode. CFo=? -276,400 ENTER
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NPV with the TI BAII Plus:NPV with the TI BAII Plus:
Select CF mode. CFo=? -276,400 ENTER C01=? 83,000 ENTER
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NPV with the TI BAII Plus:NPV with the TI BAII Plus:
Select CF mode. CFo=? -276,400 ENTER C01=? 83,000 ENTER F01= 1 4 ENTER
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NPV with the TI BAII Plus:NPV with the TI BAII Plus:
Select CF mode. CFo=? -276,400 ENTER C01=? 83,000 ENTER F01= 1 4 ENTER C02=? 116,000 ENTER
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NPV with the TI BAII Plus:NPV with the TI BAII Plus:
Select CF mode. CFo=? -276,400 ENTER C01=? 83,000 ENTER F01= 1 4 ENTER C02=? 116,000 ENTER F02= 1 ENTER
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NPV with the TI BAII Plus:NPV with the TI BAII Plus:
Select CF mode. CFo=? -276,400 ENTER C01=? 83,000 ENTER F01= 1 4 ENTER C02=? 116,000 ENTER F02= 1 ENTER NPV I= 15 ENTER
CPT
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NPV with the TI BAII Plus:NPV with the TI BAII Plus:
Select CF mode. CFo=? -276,400 ENTER C01=? 83,000 ENTER F01= 1 4 ENTER C02=? 116,000 ENTER F02= 1 ENTER NPV I= 15 ENTER
CPT You should get NPV = 18,235.71 477
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Profitability IndexProfitability Index
NPVNPV = - IO = - IO ACFACFtt
(1 + k)(1 + k) tt
nn
t=1t=1
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Profitability IndexProfitability Index
t
NPVNPV = - IO = - IO ACFACFtt
(1 + k)(1 + k) tt
nn
t=1t=1
PI = IO ACFt
(1 + k)
n
t=1
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Profitability IndexProfitability Index
Decision RuleDecision Rule::
If PI is greater than or equal If PI is greater than or equal to 1, to 1, ACCEPTACCEPT..
If PI is less than 1, If PI is less than 1, REJECTREJECT..480
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PI with PI with the the
HP10B:HP10B:
-276,400 CFj 83,000 CFj 4 shift Nj 116,000 CFj 15 I/YR shift NPV You should get NPV = 18,235.71. Add back IO: + 276,400 Divide by IO: / 276,400 = You should get PI = 1.066
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Internal Rate of Return (IRR)Internal Rate of Return (IRR)
IRR: the return on the firm’s invested capital. IRR is simply the rate of return that the firm earns on its capital budgeting projects.
482e-mail: [email protected] www.augustin.co.nr
Internal Rate of Return (IRR)Internal Rate of Return (IRR)
NPVNPV = - IO = - IO ACFACFtt
(1 + k)(1 + k) tt
nn
t=1t=1
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Internal Rate of Return (IRR)Internal Rate of Return (IRR)
n
t=1IRR: = IO
ACFt
(1 + IRR) t
NPVNPV = - IO = - IO ACFACFtt
(1 + k)(1 + k) tt
nn
t=1t=1
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Internal Rate of Return (IRR)Internal Rate of Return (IRR)
IRR is the rate of return that makes the PV of the cash flows equal to the initial outlay.
This looks very similar to our Yield to Maturity formula for bonds. In fact, YTM is the IRR of a bond.
n
t=1IRR: = IO
ACFt
(1 + IRR) t
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Calculating IRRCalculating IRR
Looking again at our problem: The IRR is the discount rate that
makes the PV of the projected cash flows equal to the present value of outlay.
0 1 2 3 4 5
(276,400)83,000 83,000 83,000 83,000 116,000
487e-mail: [email protected] www.augustin.co.nr
This is what we are actually doing:
83,000 (PVIFA 4, IRR) + 116,000 (PVIF 5, IRR) = 276,400
00 11 22 33 44 55
(276,400)(276,400)83,000 83,000 83,000 83,000 116,00083,000 83,000 83,000 83,000 116,000
488e-mail: [email protected] www.augustin.co.nr
This is what we are actually doing:
83,000 (PVIFA 4, IRR) + 116,000 (PVIF 5, IRR) = 276,400
This way, we have to solve for IRR by trial and error.
00 11 22 33 44 55
(276,400)(276,400)83,000 83,000 83,000 83,000 116,00083,000 83,000 83,000 83,000 116,000
489e-mail: [email protected] www.augustin.co.nr
IRR with your CalculatorIRR with your Calculator
IRR is easy to find with your financial calculator.
Just enter the cash flows as you did with the NPV problem and solve for IRR.
You should get IRR = 17.63%!
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IRRIRR
Decision RuleDecision Rule::
If IRR is greater than or equal If IRR is greater than or equal to the required rate of return, to the required rate of return, ACCEPTACCEPT..
If IRR is less than the required If IRR is less than the required rate of return, rate of return, REJECTREJECT..
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IRR is a good decision-making tool as long as cash flows are conventional. (- + + + + +)
Problem: If there are multiple sign changes in the cash flow stream, we could get multiple IRRs. (- + + - + +)
492e-mail: [email protected] www.augustin.co.nr
IRR is a good decision-making tool as long as cash flows are conventional. (- + + + + +)
Problem: If there are multiple sign changes in the cash flow stream, we could get multiple IRRs. (- + + - + +)
0 1 2 3 4 5
(500) 200 100 (200) 400 300
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IRR is a good decision-making tool as long as cash flows are conventional. (- + + + + +)
Problem: If there are multiple sign changes in the cash flow stream, we could get multiple IRRs. (- + + - + +)
0 1 2 3 4 5
(500) 200 100 (200) 400 300
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Problem: If there are multiple sign changes in the cash flow stream, we could get multiple IRRs. (- + + - + +)
We could find 3 different IRRs!
0 1 2 3 4 5
(500) 200 100 (200) 400 300
1 2 31 2 3
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Summary Problem:Summary Problem:
Enter the cash flows only once. Find the IRR. Using a discount rate of 15%, find NPV. Add back IO and divide by IO to get PI.
0 1 2 3 4 5
(900) 300 400 400 500 600
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Summary Problem:Summary Problem:
IRR = 34.37%. Using a discount rate of 15%, NPV = $510.52. PI = 1.57.
0 1 2 3 4 5
(900) 300 400 400 500 600
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NPV ProfilesNPV Profiles
A graphical representation of project NPVs at various different costs of capital.
k NPVL NPVS
0 $50 $40 5 33 2910 19 2015 7 1220 (4) 5
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499
Drawing NPV profilesDrawing NPV profiles
-10
0
10
20
30
40
50
60
5 10 15 20 23.6
NPV ($)
Discount Rate (%)
IRRL = 18.1%
IRRS = 23.6%
Crossover Point = 8.7%
SL
.
.
...
.
..
.
. .
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500
Comparing the NPV and IRR Comparing the NPV and IRR methodsmethods If projects are independent, the two
methods always lead to the same accept/reject decisions.
If projects are mutually exclusive …– If k > crossover point, the two methods
lead to the same decision and there is no conflict.
– If k < crossover point, the two methods lead to different accept/reject decisions.
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501
Finding the crossover pointFinding the crossover point
1. Find cash flow differences between the projects for each year.
2. Enter these differences in CFLO register, then press IRR. Crossover rate = 8.68%, rounded to 8.7%.
3. Can subtract S from L or vice versa, but better to have first CF negative.
4. If profiles don’t cross, one project dominates the other.
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502
Reasons why NPV profiles crossReasons why NPV profiles cross
Size (scale) differences – the smaller project frees up funds at t = 0 for investment. The higher the opportunity cost, the more valuable these funds, so high k favors small projects.
Timing differences – the project with faster payback provides more CF in early years for reinvestment. If k is high, early CF especially good, NPVS > NPVL.
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503
Reinvestment rate assumptionsReinvestment rate assumptions
NPV method assumes CFs are reinvested at k, the opportunity cost of capital.
IRR method assumes CFs are reinvested at IRR.
Assuming CFs are reinvested at the opportunity cost of capital is more realistic, so NPV method is the best. NPV method should be used to choose between mutually exclusive projects.
Perhaps a hybrid of the IRR that assumes cost of capital reinvestment is needed.
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504
Since managers prefer the IRR to the Since managers prefer the IRR to the NPV method, is there a better IRR NPV method, is there a better IRR measure?measure? Yes, MIRR is the discount rate that
causes the PV of a project’s terminal value (TV) to equal the PV of costs. TV is found by compounding inflows at WACC.
MIRR assumes cash flows are reinvested at the WACC.
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505
Calculating MIRRCalculating MIRR
66.0 12.1
10%
10%
-100.0 10.0 60.0 80.0
0 1 2 310%
PV outflows
-100.0 $100
MIRR = 16.5%158.1
TV inflows
MIRRL = 16.5%
$158.1
(1 + MIRRL)3=
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506
Why use MIRR versus IRR?Why use MIRR versus IRR?
MIRR correctly assumes reinvestment at opportunity cost = WACC. MIRR also avoids the problem of multiple IRRs.
Managers like rate of return comparisons, and MIRR is better for this than IRR.
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507
Project P has cash flows (in 000s): CFProject P has cash flows (in 000s): CF00 = =
-$800, CF-$800, CF11 = $5,000, and CF = $5,000, and CF22 = -$5,000. = -$5,000.
Find Project P’s NPV and IRR.Find Project P’s NPV and IRR.
Enter CFs into calculator CFLO register.
Enter I/YR = 10. NPV = -$386.78. IRR = ERROR Why?
-800 5,000 -5,000
0 1 2k = 10%
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508
Multiple IRRsMultiple IRRs
NPV Profile
450
-800
0400100
IRR2 = 400%
IRR1 = 25%
k
NPV
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509
Why are there multiple IRRs?Why are there multiple IRRs?
At very low discount rates, the PV of CF2 is large & negative, so NPV < 0.
At very high discount rates, the PV of both CF1 and CF2 are low, so CF0 dominates and again NPV < 0.
In between, the discount rate hits CF2 harder than CF1, so NPV > 0.
Result: 2 IRRs.
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510
Solving the multiple IRR problemSolving the multiple IRR problem
Using a calculator– Enter CFs as before.– Store a “guess” for the IRR (try 10%)
10 ■ STO ■ IRR = 25% (the lower IRR)
– Now guess a larger IRR (try 200%)200 ■ STO ■ IRR = 400% (the higher IRR)
– When there are nonnormal CFs and more than one IRR, use the MIRR.
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511
When to use the MIRR instead of When to use the MIRR instead of the IRR? Accept Project P?the IRR? Accept Project P?
When there are nonnormal CFs and more than one IRR, use MIRR.– PV of outflows @ 10% = -$4,932.2314.– TV of inflows @ 10% = $5,500.– MIRR = 5.6%.
Do not accept Project P.– NPV = -$386.78 < 0.– MIRR = 5.6% < k = 10%.
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Capital BudgetingCapital Budgeting
Moral:– Use NPV as the first step in evaluating projects.– If capital is in short supply, try and find the best mix of
projects to take using simulation rather than use some arbitrary short-cuts (IRR etc.).
– Look at payback period as a second step, especially if the projects are otherwise comparable (in magnitude of investment, life of cash flows). If strategic flexibility in the firm’s investment base matters, payback period is a healthy tool in spite of serious theoretical deficiencies.
– In other words, be careful of using only NPV because cash flows in the far future are hard to predict.
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