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Page 1: sure success Fm Formulae

8/11/2019 sure success Fm Formulae

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 Formulae in

FINANCIALMANAGEMENT 

Cost Accounting&

Financial Management

CA – IPCC 

Part I 

Page 2: sure success Fm Formulae

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Chapter 1 : TIME VALUE OF MONEY

  FV = PV(1+r)n

Meaning of Terms

FV  =  Future Value,

PV  = Present Value,

r  = % rate of interest,

n  = The time gap.

Chapter 2 : CAPITAL BUDGETING

  ARR = Average PAT p.a/ Net investment.

  Profitability index (PI)/ Desirability factor = Total of Discounted Cash Inflows/

Total Discounted Cash Outflows.

  EAC = Cash Outflows per annum+ EAI

  EAI  = Initial Investment / Relevant Annuity Factor.

Meaning of Terms

EAC = Equivalent Annual Costs

PI  = Profitability Index

EAI = Equivalent Annual Investment

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Chapter 6 : CAPITAL STRUCTURE

 debt of Value Market 

eCh Interest  Annual arg=

dk  

  EquityovValue Market 

 Earnings Equityk 

e  =  

 V 

 E k 

 Dk k  ed o   ×+×=  

 V

Ek 

V

Dk k  edo   ×+×=  

  ( )dooe k k E

Dk k    −+=  

 belongsfirmthewhichtoclassrisk thetoapplicablerateDiscount

IncomeOperatingExpectedEDV   =+=  

  ( )dooe k k E

Dk k    −+=  

Meaning of Terms

Kd = Cost of   debt

Ke  = Cost of equity

V  = Market Value of the firm (V)

D  = Market value of debt (D)

E  = Market value of Equity

ko  = Overall capitalization rate for the firm

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Chapter 7 : Ratio Analysis

  Current Ratio =s LiabilitieCurrent 

 AssetsCurrent  

  Quick Ratio = LiabiltiesQuick 

 AssetsQuick   

  Cash Ratio =s LiabilitieCurrent 

Securities MarketableCash + 

  Owner’s Equity to Total Equity Ratio = AssetsTotal

 Equityor 

 EquityTotal

 EquitysOwner ' 

  Debt Equity Ratio = Equity

 Debt  

  Debt Service Coverage Ratio =)(   component  principals Instalment  Interest 

servicedebt  for available Earnings

  Interest Coverage Ratio = Interest 

 EBIT Taxand  Interest  Before Earnings ][ 

  Preference Dividend Coverage Ratio = Dividendseference

PAT Tax After ofit 

Pr

][Pr 

  Equity Dividend Coverage Ratio  = Dividend  Equity

 Dividend eferencePAT Tax After ofit  Pr][Pr   − 

  Capital Gearing Ratio =

 LossesSurplusand servesCapitalShare Equity

loansterm Long DebenturesCapitalShareeference

−+

++

Re

Pr 

Or

uritiesbearingincomeFixed  Non

uritiesbearingincomeFixed 

sec

sec

− 

  Fixed Assets to Long term fund Ratio =FundsTerm Long

 AssetsFixed  

  Proprietary Ratio = AssetsTotal

 EquityOwnersor  Employed Capitalor Fundsoprietary 'Pr 

  Proprietary funds = Share Capital + Reserves and Surplus – Fictitious Assets

 Total Assets  = Total Assets as per Balance Sheet except fictitious assets and losses.

  Capital Turnover Ratio = Employed Capital

Sales 

  Fixed Assets Turnover Ratio = AssetsFixed 

Sales 

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  Working Capital Turnover Ratio =CapitalWorking

Sales 

  Inventory Turnover Ratio = Average Stock = ½ X [Opening Stock + Closing Stock] 

  Raw Material Turnover Ratio =Stock  Materials Raw Average

Consumed  Materials Raw  

  Debtors’ Turnover Ratio =ceivable Accounts Average

SalesCredit 

Re 

  Average Collection Period =

 RatioTurnover  Debtorsor 

salescredit  Daily Average

ceivable Accounts Average 365Re 

  Creditors’ Turnover Ratio =Payable Accounts Average

PurchasesCredit  

  Average Payment Period 

= RatioTurnover Creditors

or PurchaseCredit  Daily Average

Payable Accounts Average 365 

  Return on Equity =

 AssetsFictitiousSurplusand servesCapitalShare Equity

 Dividend eferencePAT 

−+

Re

Pr 

  Earnings per share =sharesequityof  Number 

 Dividend eferenceTaxes After ofit  PrPr   − 

  Dividend per share =sharesequityof  Number 

rsshareholdeequitythetod distributedividendsTotal 

  Price Earnings Ratio =share per  Earning

Share per ice Market  Pr 

  Return on Capital Employed = %100Re×

 Employed Capital

turn  

  Return on Investment = %100Pr

× Employed Capital

Taxand  Interest  Beforeofit  

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  Gross Profit Ratio  = %100Pr

×Sales

ofit Gross 

  Operating Profit Ratio = %100Pr

×Sales

ofit Operating 

  Net Profit Ratio = %100Pr

×Sales

ofit  Net  

  Dividend Yield = %100×share per  price Market 

share per  Dividend  

  ROE = Equity Assets

 AssetsSales

SalesProfit  Net 

 EquityProfit  Net 

××××××××====  

Meaning of Terms

Current Assets = Inventories + Sundry Debtors + Cash and Bank Balances + Loans and

Advances + Marketable non-trade securities at market value.

Current Liabilities = Trade creditors + Bills payable + Outstanding expenses + Provision

for taxation + Proposed Dividend + Other Provision + Cash Credit +

Bank Overdraft + Unclaimed Dividend

Quick Assets  = Current Assets – Inventories – Prepaid Expenses 

Quick Liabilities  = Current Liabilities – Bank Overdraft – Cash Credit

Owner’s Equity = Share Capital (both equity and preference) + Reserves and Surplus (–)

Fictitious Assets

Total Equity  =  Owner’s Equity + External Equity [i.e., outside liabilities inclusive of

current liabilities and provisions]

Or

Balance Sheet Total – Miscellaneous Expenditure

Equity = Owner’s Equity

Debt = Long term loan fund.

Proprietary funds = Share Capital + Reserves and Surplus – Fictitious Assets

Total Assets  = Total Assets as per Balance Sheet except fictitious assets and losses.

Average Stock  = ½ X [Opening Stock + Closing Stock]

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Chapter 9 : COST OF CAPITAL

  P0 = 1. (1-t). PVIFA (kd, n) + F.PVIF (kd,n)

  kd

(((( ))))

20PF

n0PF

t1I

++++

−−−−++++−−−−

 

  Cost of term loans = Interest rate × (1- tax rate)

  P0 = D.PVIFA(kp,n) + F.PVIF(kp,n)

  kp = 

20PF

n

0PF

D++++

−−−−

++++  

  ke g0P1D

++++  

  ke = Rf  + B (Rm – Rf )

  Wt =1tPtPtD

−−−−

−−−− 

  Ke =P1E

 

  WACC = ∑∑∑∑====

n

1r

rW rk  

  EPS =1N

)t1(EBIT   −−−− 

  EPS =2N

)t1.)(IntEBIT(   −−−−−−−−

 

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Meaning of Terms

P0(Cost of debentures)  = Present value of the debenture (net of floatation cost )

I  = Annual interest payable on the debenture

t  = Tax rate

F  = Principal amount repayable at the maturity time

kd  = Cost of debenture

n = Maturity period

P0(Cost of preference capital)  = Net amount realized per share (net of floatation cost)

D  = Preference dividend per share

F  = Redemption price

kp  = Cost of preference capital

D1  = Expected dividend per share next year = D0 × (1 + g)

D0  = Last paid dividend per share

P0 = Current market price per share

g = Growth rate

b  = Retention Ratio

r  = Return on EquityRf   = Risk free rate

B  = Beta

Rm  = Return on market

Wt  = Wealth Ratio

E1  = Expected EPS for the next year

Wr = Weight of rth source of capital

Kr  = Cost of rth Source of capital

Int = Total interest charge on debt financing.

N1  = Total No. of Equity Shares under financial Plan 1

N2  = Total No. of equity Shares under Financial plan 2

t = Tax Rate

Chapter 10 : Leverage Analysis

  Equity Earnings = Sales – Variable Costs – Fixed costs – Interest – Tax – Preference

Dividend

 Equity Earnings = [Q (P-V)-F-I] × (1-t)-DP

  Earnings Per ShareShares Equityof  Number 

 Earnings Equity =

n

DP-t)-(1I]-F-V)-(P[Q   × 

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  DOL = EBIT 

onContributi

F V PQ

V PQ

Q

Q EBIT 

 EBIT 

SalesinChangePercentage

 EBIT inChangePercentage=

−−

−=

=)(

)( 

  DFL  =

 D I  EBIT 

 EBIT 

 EBIT 

 EBIT  EPS  EPS 

 EBIT inChangePercentage

 EPS inChangePercentage

P

−−−

=∆

=

1

 

  DCL  =

 D I F V PQ

V PQ

Q

Q EPS 

 EPS 

SalesinChangePercentage

 EBIT inChangePercentage

P

−−−−−

−=

=

1)(

)( 

Meaning of Terms

Q = Number of units sold

P = Price per unit

V = Variable Cost per unit

F  = Total fixed cost

I  = Total Interest

t = Tax rate

DP  = Preference Dividend

n = Number of equity shares