Seminar in Finance Formulas DOL = Contribution Margin or Sales / EBIT DFL = EBIT / EBT or Net Profit DTL = DOL * DFL Margin of Safety = (Actual Sales –Brake Even Sales) / Actual sales Contribution Margin Ratio = Contribution Margin / Sales * 100 Brake even Sales = Total Fixed Cost / Contribution Margin Ratio Operating Cash Flow (OCF) = EBIT – Taxes + Depreciation Free Cash Flow (FCF) = Operating Cash Flow –Net Fixed Assets Investment - Net Current Assets investment Net Fixed Assets Investment (NFAI) = Changes in Net Fixed Assets + Depreciation Net Current Assets investment (NCAI) = Changes in Current Assets - Changes in (Accounts Payable + Accruals) Operating Cycle = Average Age of Inventory + Average Collection Period Cash Conversion Cycle = Operating Cycle – Average Payment Period Resources Needed = ( Total Annual Outlay / 360 ) X Cash Conversion Cycle Cost of Financing: Debt: Yield to Maturity (YTM) = Kd = Interest + ((Face Value + Market Value)/number of years) (Face Value + Market Value) / 2 Ki = Kd ( 1 – Tax Rate) 1 Preferred Stock: K p = Dp / Np Or Kp = D1 / P0 Np = Net Proceeds From Sale of P/S Common Stock Value: Zero Growth: Kp = D1 / P0 Constant Growth: Ks = (D1 / P0 ) + G G = Growth Rate Variable Growth: N D V0 ( Dt PVIF (k s , t per )) N 1 PVIF (k s , N per ) t 1 ks g 2 OR PO = [ { DO x (1 + g1)t } / (1 + KS) ] + [ { 1 / ( 1 + KS)N } X { ( DN + 1 ) / (KS-g2) } ] Breaking Point (BPj) = AFj / Wj AFj = Amount of Funds Available (from financing source j) Wj = Capital Structure Weights (for financing source j) Weighted Average Cost of Capital (WACC) = K = ( Wj *Kj ) + ( Wp *Kp ) + ( Ws *Ks ) 2 Capital Asset Pricing Model (CAPM) = K = RF + β ( MR – RF ) RF = Risk Free Rate (Where beta is 0) MR = Market Rate β = Beta K = Required Return = Real Rate + Inflation Premium + Risk Premium RF = Real Rate + Inflation Premium Risk Premium = K - RF Present Value of Single Amount: PVIF = Pv = Fv / ( 1 + K )n Net Present Value = Sum of Total Present Values – Initial Investment Present Value of Annuity: PVIFA = Pmt [1- (1 / (1 + K)n ) ] / K Annualized Net Present Value (ANPV) = NPV / PVIFA(k,n) Initial Investment = cost of new machine + Installation Cost – after tax proceeds of old machine + Change in Net Working Capital Incremental Cash Flows = Earnings Before Tax – Tax + Depreciation – Old Machine Cash Flows Terminal Cash Flow = after tax proceeds from sale of new machine - after tax proceeds from sale of old machine + change in Net Working Capital Internal Rate of Return (IRR): Average of Total Cash Flows = sum of total cash flows / number of years Factor = Initial Investment / Average of Total Cash Flows 3 Ratios Liquidity Ratios Current ratio Quick ratio Cash ratio current assets/current liability current assets-inventory/current liability cash+ marketable securities/current liability Activity Ratios Inventory turnover CGS/inventory Avg. collection period accounts receivable/avg. sales per day Avg. payment period accounts payable/avg. purchases per day Account receivable turnover Annual credit sales/average account receivable Account payable turnover Annual credit purchase or CGS/Average account payable Total assets turnover sales/total assets Fixed asset turnover Annual sales/total fixed Assets Debt Ratios Debt ratio Time interest earned ratio Fixed Payment coverage ratio total liabilities/total assets EBIT/I EBIT / (EBIT - Interest - Lease Payment - Before tax Preferred Dividend) Profitability Ratios Gross profit margin gross profit/sales Operating profit margin operating profits/sales Net profit margin EACS/sales Earning per share EACS/ shares outstanding ROI Net Profit / Average Total Assets or EBIT / Average Operating Assets Return on total assets EACS/ total assets Return on common equity EACS/common stock equity Market ratios Price/earning ratio Market/book value ratio Book value per share of c/s Market / liquidation ratio Mkt price per share/ EPS Mkt price per share/book value per share common stock equity/no. of share outstanding Mkt price per share / liquidation value per share Notes CGS Avg. stock Capital Fixed assets Debtor’s Account rec. turnover Account payable turnover Creditors Closing stock sales - gross profit CGS/stock turnover sales/capital turnover sales/ fixed assets turnover sales/ Account receivable turnover 12 or 365/debt collection period 12 or 365/credit payment period CGS (including excess closing stock balance)/account payable turnover op. stock + avg. stock+ excess balance of closing stock/ 2 4