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    Course F-303:CAPITAL BUDGETING &

    Project Mgmnt.Prof. Shabbir Ahmad

    Introduction Definition, types of projects, techniques of CID etc.

    Cash Flow EstimationDetermination of cash out flow and cashinflows

    Techniques of Capital BudgetingDiscounted (NPV, IRR, MIRR, PI,and DPB) and non-discounted (PB & AAR) cash flow techniques,

    decision criteria, advantages and disadvantages of each technique.Special Issues in Capital BudgetingProjection evaluation, cost-cutting projects, bid price setting, projects with different lives.

    Project Analysis and EvaluationForecasting risk, sensitivity andscenario analysis, break-even analysis, operating leverage and capitalbudgeting.

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    Course F-303:CAPITAL BUDGETING &

    Project Mgmnt.

    Inflation and Capital Budgeting

    Options in Capital Budgeting

    Strategy and Analysis in Using Net Present Value

    Cost of Capital and Capital BudgetingCapital Budgeting for Levered Firm

    Risk and Capital BudgetingAbsolute measure and relative measureof risk, certainty equivalent method and risk adjusted discount ratemethod.

    Text BooksFundamentals of Corporate Finance by Ross, Westerfield, JORDAN

    Corporate Finance by Ross, Westerfield, JAFFE

    Capital Budgeting & Long-term Finance by Neil Seitz

    Managerial Finance by Lawrence J GITMAN

    Essentials of Managerial Finance by Eugene F. Brigham

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    CAPITAL BUDGETING OR

    CAPITAL INVESTMENT DECISION

    Capital Investment Decisions or CapitalBudgeting involves companys long terminvestment decision. It includes evaluation of thefirms expenditure decisions that involve currentoutlays but are likely to produce benefits or returnsover a long period of time.

    Capital Budgeting is the process of evaluating andselecting long-term investments in fixed or capitalassets that are consistent with the firms goal of

    maximizing owners wealth.

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    CAPITAL BUDGETING OR

    CAPITAL INVESTMENT DECISION

    Why a firm makes capital investment?

    In order to secure a stream of benefits in future years

    that add value to the firm through cash inflows over

    future times.

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    CAPITAL BUDGETING OR

    CAPITAL INVESTMENT DECISION

    Applications

    Purchase of fixed assets

    Mechanization of production method

    Selection from alternative equipments

    Introduction of new products

    Expansion of business

    Modernization and replacement

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    FEATURES/CHARACTERISTICS

    OF CID (IMPORTANCE)

    Long term investment decision (future profitability offirm).

    Returns or benefits are expected over number of years

    Investment involves huge amount of cash outflow(determines the destiny of the firm)

    Investment decision is generally irreversible (oncemade can not be changed)

    Relatively high degree of risk

    Relatively long time period between the initial outlayand the anticipated return

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    CLASSIFICATION OF PROJECTS

    By Size:

    Major Project.

    Minor Project.

    By Benefit:

    Cost Reduction Project.

    Market Expansion Project.Project for new products.

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    CLASSIFICATION OF PROJECTS

    By Degree of Dependence:

    Mutually Exclusive Projects.

    Independent Projects.

    By Cash Flow pattern:

    Conventional Project.( - + + + + + i.e. outflow

    followed by a series of inflow).Non Conventional Projects ( - + + - + - + i.e. if the

    project inflows & outflows are mixed & zigzag

    pattern).

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    CAPITAL INVESTMENT

    DECISION

    Determination of Cash Outflow or

    Investment

    Projection or Forecast or Estimation ofFuture Cash Inflows

    Determination of Appropriate Discount Rate

    (i.e. Cost of Capital)

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    CASH FLOW DETERMINATION

    A project should be evaluated on the basis of

    Incremental After Tax Cash Flows.

    Incremental After Tax Cash Flows for project

    evaluation consist of any and all changes in the

    firms future cash flows that are a direct

    consequence of taking the project or thedifference between a firms future cash flows

    with a project and those without the project.

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    CASH FLOW

    DETERMINATIONOnly the relevant cash flows should be taken under

    consideration in determining the cash flows (i.e.

    inflows or outflows) for making capital investmentdecision.

    Relevant cash flows should be included in a capital

    budgeting analysis. These cash flows will only occur if

    the project is accepted

    Relevant cash flows are those which influence the

    firms decision regarding accepting or rejecting a

    project.

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    CASH FLOW

    DETERMINATIONIrrelevant cash flows are those which do not

    affect the firms decision regarding accepting or

    rejecting a project i.e. they exist if the firmsaccepts a project or if rejects a project.

    Irrelevant cash flowsshould NOT be included

    in capital budgeting analysis.

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    CASH FLOW

    DETERMINATIONAsking the Right Question

    Will this cash flow occur ONLY if we accept the

    project?

    If the answer is yes, it should be included in the

    analysis because it is incremental

    If the answer is no, it should not be included inthe analysis because it will occur anyway

    If the answer is part of it, then we should include

    the part that occurs because of the project

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    CASH OUTFLOWOR

    INVESTMENT DETERMINATION

    Cost of new asset or project

    Add installation cost (if any)

    Add transportation cost (if any)

    Add removal cost of old asset (only if borneby the company)

    Less selling price of old asset (if new asset replaces

    old asset)

    + / - Tax on sale of old assetLess Amount of investment tax credit (AITC)

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    Depreciation

    Depreciation is a non-cash expense,consequently, it is only relevant because itaffects taxes

    Depreciation tax shield = DTD = depreciation expense

    T = tax rate

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    Computing Depreciation

    Straight-line depreciationAnnual Dep. = Installed cost / number of useful years

    MACRSNeed to know which asset class is appropriate for tax

    purposes

    Multiply percentage given in table by the installedcost

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    Example: Depreciation

    You purchase equipment for $100,000 and it

    costs $10,000 to have it installed. The companys

    tax rate is 40%. What is the depreciation expenseeach year?

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    Example: Three-year MACRS

    Year MACRS

    percent

    D

    1 .3333 .3333(110,000) =

    36,663

    2 .4444 .4444(110,000) =

    48,884

    3 .1482 .1482(110,000) =16,302

    4 .0741 .0741(110,000) = 8,151

    BV in year 6 =

    110,00036,663

    48,88416,302

    8,151 = 0

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    CASH OUTFLOW OR INVESTMENT

    DETERMINATION

    ExampleThe Sprint Inc. is trying to estimate the net cash outflow required toreplace an old machine with a new one. The new machines purchaseprice is $270,000. An additional $7,000 will be required for transportationand $5,000 will be required to install the machine. As the new machinehas greater capacity to produce, there will be an additional investment of

    $20,000 in raw material inventory in the initial year. The new machinewill be depreciated on straight-line basis over five years of useful life.The old machine was purchased two years ago at a cost of $70,000 has aremaining useful life of five years. It is also subject to straight-linedepreciation. The company is entitled to investment tax allowance of25%. The corporate tax rate is 55% and the capital gain tax rate is 30%.

    Find the net cash outflow considering separately each of the followingscenarios:

    i) If the old machine is sold for $40,000

    ii) If the old machine is sold for $50,00. NCO.xls

    iii) If the old machine is sold for $60,000.

    iv) If the old machine is sold for $90,000.

    http://ppt/NCO.xlshttp://ppt/NCO.xlshttp://ppt/NCO.xlshttp://ppt/NCO.xls
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    CASHINFLOWDETERMINATION

    Operating Cash Flow (OCF)Operating Cash Flow (OCF) = EBIT + depreciationtaxes

    OCF = Net income + depreciation when there is no interestexpense

    OCF = SalesCostsTaxes (Dont subtract non-cashdeductions)

    OCF = (SalesCosts)(1T) + Depreciation*T

    Opportunity Cost

    Sunk Cost

    Erosion or Side Effects

    Financing Cost

    Change in Net Working Capital

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    Common Types of Cash Flows

    Sunk costscosts that have accrued in the past and shouldnot be included capital budgeting analysis

    Opportunity costscosts of lost options and should beincluded in capital budgeting analysis

    Side effectsPositive side effectsbenefits to other projectsNegative side effectscosts to other projects

    and should be included in capital budgeting analysis

    Changes in net working capital (should be included incapital budgeting analysis)

    Financing costs (should not be included in capital budgetinganalysis)

    Taxes should be considered

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    PROJECTCASH FLOW

    DETERMINATION

    Year

    0 1 2 3

    OCFChange in NWC

    Opportunity Cost

    Capital Spending/CO ATSV

    PCF

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    After-tax Salvage

    If the salvage value is different from the book

    value of the asset, then there is a tax effect

    Book value = installed costaccumulated (i.e.

    total ) depreciation

    After-tax salvage value (ATSV) = salvage

    Tc(salvagebook value)

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    TECHNIQUES OF CAPITAL BUDGETING

    The techniques of capital budgeting are dividedinto two broad groups

    A) Non discounted cash flow techniques i.e.techniques that do not consider time value ofmoney as such do not discount the future cashflows

    B) Discount cash flow (DCF) techniques i.e.

    techniques that do not consider time value ofmoney as such do not discount the future cashflows

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    TECHNIQUES OF CAPITAL BUDGETING

    A) Non-DCF techniques include the following:i) Payback Period Method

    ii) Average Accounting Return or Accounting Rateof Return

    B) DCF techniques include the following:i) Net Present Value (NPV)

    ii) Internal Rate of Return (IRR)

    iii) Profitability Index (PI) or Benefit-CostRatio (BCR)

    iv) Discounted Payback Period Method

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    The Payback Period Rule

    How long does it take the project to pay back

    its initial investment?

    Payback Period = number of years to recoverinitial costs

    Minimum Acceptance Criteria:

    set by management

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    The Payback Period Rule (continued)

    Disadvantages:Ignores the time value of money

    Ignores cash flows after the payback period

    Biased against long-term projects

    Requires an arbitrary acceptance criteria

    A project accepted based on the payback criteria maynot have a positive NPV

    Advantages:Easy to understand

    Biased toward liquidity

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    The Discounted Payback

    Period Rule

    How long does it take the project to pay back

    its initial investment taking the time value of

    money into account?

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    The Average Accounting Return Rule

    Another attractive but fatally flawed approach.

    Disadvantages:

    Ignores the time value of moneyUses an arbitrary benchmark cutoff rate

    Based on book values, not cash flows and market values

    Advantages:

    The accounting information is usually availableEasy to calculate

    InvestentofValueBookAverage

    IncomeNetAverage

    AAR

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    The Net Present Value (NPV) Rule

    Net Present Value (NPV) =

    Total PV of future CIs - Initial Investment

    PV of Cash Inflows PV of Cash Outflows

    Minimum Acceptance Criteria: Accept if NPV > 0

    Ranking Criteria: Choose the highest NPV

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    Why Use Net Present Value?

    Accepting positive NPV projects benefits

    shareholders.

    NPV uses cash flows

    NPV uses all the cash flows of the project

    NPV discounts the cash flows properly

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    Good Attributes of the NPV Rule

    1. Uses cash flows

    2. Uses ALL cash flows of the project

    Reinvestment assumption: the NPV rule assumes

    that all cash flows can be reinvested at the

    discount rate or cost of capital.

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    The Internal Rate of Return (IRR) Rule

    IRR: the discount rate that sets NPV to zero or the rateof return available from investing in a project.Minimum Acceptance Criteria:

    Accept if the IRR exceeds the required return.Ranking Criteria:

    Select alternative with the highest IRRReinvestment assumption:All future cash flows assumed reinvested at the IRR.

    Disadvantages:IRR may not exist or there may be multiple IRR

    Problems with mutually exclusive investmentsAdvantages:

    Easy to understand and communicate

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    The Internal Rate of Return: Example

    Consider the following project:

    0 1 2 3

    $50 $100 $150

    -$200

    The internal rate of return for this project is 19.44%

    32 )1(

    150$

    )1(

    100$

    )1(

    50$0

    IRRIRRIRRNPV

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    The NPV Payoff Profile for This Example

    Discount Rate NPV

    0% $100.00

    4% $71.04

    8% $47.3212% $27.79

    16% $11.65

    20% ($1.74)

    24% ($12.88)

    28% ($22.17)

    32% ($29.93)36% ($36.43)

    40% ($41.86)

    If we graph NPV versus discount rate, we can see the

    IRR as the x-axis intercept.

    IRR = 19.44%

    ($60.00)

    ($40.00)($20.00)

    $0.00

    $20.00

    $40.00

    $60.00$80.00

    $100.00

    $120.00

    -1% 9% 19% 29% 39%

    Discount rate

    NPV

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    Problems with the IRR Approach

    Multiple IRRs.

    The Scale Problem

    The Timing ProblemInvesting or Financing

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    Multiple IRRs

    There are two IRRs for this project:

    0 1 2 3

    $200 $800

    -$200 - $800

    ($150.00)

    ($100.00)

    ($50.00)

    $0.00

    $50.00

    $100.00

    -50% 0% 50% 100% 150% 200%

    Discount rate

    NPV

    100% = IRR2

    0% = IRR1

    Which one

    should we use?

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    The Scale Problem

    Would you rather make 100% or 50% on your

    investments?

    What if the 100% return is on a $1 investmentwhile the 50% return is on a $1,000 investment?

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    The Timing Problem

    0 1 2 3

    $10,000 $1,000 $1,000

    -$10,000

    Project A

    0 1 2 3

    $1,000 $1,000 $12,000

    -$10,000

    Project B

    The preferred project in this case depends on the discount rate, not

    the IRR.

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    The Timing Problem..\TimingProb.xls

    ($4,000.00)

    ($3,000.00)

    ($2,000.00)

    ($1,000.00)

    $0.00

    $1,000.00$2,000.00

    $3,000.00

    $4,000.00

    $5,000.00

    0% 10% 20% 30% 40%

    Discount rate

    NPV

    Project A

    Project B

    10.55% = crossover rate

    16.04% = IRRA12.94% = IRRB

    http://timingprob.xls/http://timingprob.xls/http://timingprob.xls/http://timingprob.xls/
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    Mutually Exclusive vs.

    Independent Project

    Mutually Exclusive Projects: only ONE of severalpotential projects can be chosen, e.g. acquiring anaccounting system.

    RANK all alternatives and select the best one.

    Independent Projects: accepting or rejecting one projectdoes not affect the decision of the other projects.

    Must exceed a MINIMUM acceptance criteria.

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    The Profitability Index (PI) Rule

    Minimum Acceptance Criteria:

    Accept if PI > 1

    Ranking Criteria:Select alternative with highest PI

    Disadvantages:

    Problems with mutually exclusive investments

    Advantages:May be useful when available investment funds are limited

    Easy to understand and communicate

    Correct decision when evaluating independent projects

    InvestentInitial

    FlowsCashFutureofPVTotal

    PI

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    The Practice of Capital Budgeting

    Varies by industry:

    Some firms use payback, others use accounting rate of

    return.

    The most frequently used technique for largecorporations is IRR or NPV.

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    Example of Investment Rules

    Compute the IRR, NPV, PI, and payback period for the

    following two projects. Assume the required return is

    10%.

    Year Project A Project B

    0 -$200 -$150

    1 $200 $502 $800 $100

    3 -$800 $150

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    Example of Investment Rules

    Project A Project B

    CF0 -$200.00 -$150.00

    PV0 of CF1-3 $241.92 $240.80

    NPV = $41.92 $90.80

    IRR = 0%, 100% 36.19%

    PI = 1.2096 1.6053

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    Example of Investment Rules

    Payback Period:

    Project A Project B

    Time CF Cum. CF CF Cum. CF

    0 -200 -200 -150 -1501 200 0 50 -100

    2 800 800 100 0

    3 -800 0 150 150Payback period for project B = 2 years.

    Payback period for project A = 1 or 3 years?

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    Relationship Between NPV and IRR

    Discount rate NPV for A NPV for B-10% -87.52 234.77

    0% 0.00 150.00

    20% 59.26 47.9240% 59.48 -8.60

    60% 42.19 -43.07

    80% 20.85 -65.64100% 0.00 -81.25

    120% -18.93 -92.52