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Accounting and finance formulas

Each formula is given with its inputs and an explanation of what the output means. Ratios are only meaningful in context — against prior periods, budget, or industry peers.

36 terms defined

Accounting equation
Assets = Liabilities + Equity
The identity underpinning double-entry bookkeeping. It must hold after every transaction.
Gross profit
Revenue − Cost of goods sold
Profit before operating expenses, showing how much each sales dollar contributes after direct production costs.
Gross profit margin
Gross profit ÷ Revenue
The proportion of revenue remaining after direct costs. Indicates pricing power and production efficiency.
Operating margin
Operating income ÷ Revenue
The proportion of revenue remaining after operating expenses, before interest and tax.
Net profit margin
Net income ÷ Revenue
The proportion of revenue converted to profit after all expenses, interest and tax.
Current ratio
Current assets ÷ Current liabilities
Short-term liquidity. A ratio below 1 indicates current liabilities exceed current assets.
Quick ratio
(Current assets − Inventory) ÷ Current liabilities
Liquidity excluding inventory, which may not convert to cash quickly. Also called the acid-test ratio.
Working capital
Current assets − Current liabilities
The absolute buffer of short-term resources funding day-to-day operations.
Debt-to-equity ratio
Total liabilities ÷ Shareholders' equity
Financial leverage. Higher values mean greater reliance on borrowing relative to owners' capital.
Interest coverage ratio
EBIT ÷ Interest expense
How many times operating profit covers interest obligations. Lower values signal greater default risk.
Return on assets
Net income ÷ Average total assets
How efficiently the asset base generates profit, independent of financing structure.
Return on equity
Net income ÷ Average shareholders' equity
The return generated on owners' capital. Can be inflated by leverage rather than operating performance.
Return on investment
(Gain from investment − Cost of investment) ÷ Cost of investment
The proportional return on an outlay. Ignores timing, so it is not directly comparable across different horizons.
Inventory turnover
Cost of goods sold ÷ Average inventory
How many times inventory is sold and replaced in a period. Low turnover may indicate obsolete stock.
Days inventory outstanding
365 ÷ Inventory turnover
The average number of days inventory is held before sale.
Receivables turnover
Net credit sales ÷ Average accounts receivable
How many times receivables are collected in a period. Measures credit control effectiveness.
Days sales outstanding
365 ÷ Receivables turnover
The average number of days taken to collect payment after a sale.
Asset turnover
Revenue ÷ Average total assets
Revenue generated per unit of assets. Measures how intensively the asset base is used.
Earnings per share
(Net income − Preferred dividends) ÷ Weighted average ordinary shares outstanding
Profit attributable to each ordinary share.
Price-to-earnings ratio
Market price per share ÷ Earnings per share
What the market pays per unit of current earnings. Reflects growth expectations as well as risk.
Contribution margin
Sales revenue − Variable costs
The amount available to cover fixed costs and then contribute to profit.
Contribution margin ratio
Contribution margin ÷ Sales revenue
The proportion of each sales dollar available to cover fixed costs and profit.
Break-even point in units
Fixed costs ÷ Contribution margin per unit
The sales volume at which total revenue equals total costs and operating profit is zero.
Break-even point in sales
Fixed costs ÷ Contribution margin ratio
The sales revenue at which operating profit is zero.
Margin of safety
Actual sales − Break-even sales
How far sales can fall before the business reaches break-even.
Degree of operating leverage
Contribution margin ÷ Operating income
How sensitive operating profit is to a change in sales. Higher leverage magnifies both gains and losses.
Straight-line depreciation
(Cost − Salvage value) ÷ Useful life
An equal depreciation charge in each period of an asset's useful life.
Double-declining balance depreciation
2 × (1 ÷ Useful life) × Beginning book value
An accelerated method charging more depreciation in early years, applied to book value rather than depreciable base.
Units of production depreciation
(Cost − Salvage value) × (Units produced ÷ Total estimated units)
Depreciation charged in proportion to actual output rather than time elapsed.
Net present value
Σ (Cash flow ÷ (1 + r)^t) − Initial investment
Present value of future cash flows less the outlay. A positive NPV indicates the project adds value at the chosen discount rate.
Weighted average cost of capital
(E÷V × Re) + (D÷V × Rd × (1 − Tax rate))
The blended after-tax cost of an entity's debt and equity funding, weighted by their proportions of total capital.
Economic value added
Net operating profit after tax − (Capital employed × WACC)
Profit remaining after charging for the capital used. Positive EVA means value has been created.
Materials price variance
(Actual price − Standard price) × Actual quantity purchased
The portion of the materials variance caused by paying more or less than standard per unit.
Materials quantity variance
(Actual quantity used − Standard quantity allowed) × Standard price
The portion of the materials variance caused by using more or less material than standard.
Labour rate variance
(Actual rate − Standard rate) × Actual hours worked
The portion of the labour variance caused by paying a different wage rate than standard.
Labour efficiency variance
(Actual hours − Standard hours allowed) × Standard rate
The portion of the labour variance caused by using more or fewer hours than standard.