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Advanced Performance Management: Useful Formulas and Equations

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Advanced Performance Management

Useful Formulas and Equations

Return on investment = (Controllable profit / Divisional investment) x 100

Residual Income = Net profits – (Total assets x Notional interest rate)

Economic value added = Net operating profit after tax – (Weighted average cost of capital x
Capital employed)

Contribution per unit = Unit selling price – Unit variable cost

Total contribution = Total sales – Total variable costs

Breakeven (Units) = Fixed costs / Contribution per unit

Breakeven (Revenue) = Fixed costs / (Contribution / Sales)

Discount factor = 1 / (1 + r) n [r = discount rate; n = number of years]

Perpetuity = Annual cash flow / Discount rate

IRR = L + {(NL) / (NL – NH)} (H – L) [Where L is the lower discount rate; H is the higher
discount rate; NL is the net present value at lower discount rate and NH is the net present value
at higher discount rate.

Gross profit margin = (Gross profit / Revenue) x 100

Operating profit margin = (Operating profit / Revenue) x 100

Net profit margin = (Net profit / Revenue) x 100

Return on capital employed = (PBIT / Equity + Liabilities)

Asset turnover = (Revenue / Total assets)


Return on capital employed = Asset turnover x Operating profit margin

Current ratio = Current assets / Current liabilities

Quick ratio (Acid test) = (Current assets – Inventories) / Current liabilities

Receivable days = (Trade receivables / Revenue) x 365 days

Inventory days = (Inventory / Cost of sales) x 365 days

Payable days = (Trade payables / Purchases) x 365 days

Cash operating cycle = Inventory days + Receivable days – Payable days

Gearing = Debt / Equity

Gearing = Debt / (Debt + Equity)

Working capital = Current assets – Current liabilities

Dividend yield = (Dividend per share / Market price) x 100

Dividend cover = Earnings per share / Dividend per share

Price earnings (PE) ratio = Market price / Earnings per share

Earnings yield = Earnings per share / Market price

Earnings per share = Earnings after tax and preference dividends / No. of ordinary shares

Learning curve: Y = axb

[Where, y = cumulative average time per unit; x = cumulative output; a = time taken for 1 st unit;
b = (log r / log 2); r = learning rate expressed in percentage]

Minimum transfer price = Marginal cost + Lost contribution from internal transfer

Altman Z score = 1.2 X1 + 1.4 X2 + 3.3 X3 + 0.6 X4 + 0.999 X5

[Where: X1 = Working capital / Total assets;

X2 = Retained earnings / Total assets;

X3 = Profit before interest and tax / Total assets;

X4 = Market value of equity / Book value of debt;

X5 = Sales / Total assets]


Net present value = Initial investment – Present value of all cash flows

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