Key Business Calculations and Performance Metrics

Classified in Mathematics

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Revenue and Cost Formulas

  • Revenue = Selling price per unit × Number of units sold
  • Variable costs = Variable cost per unit × Number of units sold
  • Total costs = Fixed costs + Variable costs
  • Profit = Total revenue − Total costs or Total contribution − Fixed costs

Market and Investment Metrics

  • Market capitalisation = Number of issued shares × Current share price
  • Expected value (A & B) = (Pay-off of A × Probability of A) + (Pay-off of B × Probability of B)
  • Net gain = Expected value − Initial cost of decision
  • Market growth (%) = (Change in market size / Original market size) × 100
  • Market share (%) = (Sales of one product or business / Total sales in the market) × 100
  • Added value = Sales revenue − Cost of bought-in goods and services

Operational Efficiency

  • Labour productivity = Output over a time period / Number of employees
  • Unit costs (average costs) = Total costs / Number of units of output
  • Capacity utilisation (%) = (Actual output / Maximum possible output) × 100
  • Return on investment (%) = (Profit from investment / Cost of investment) × 100

Profitability and Margins

  • Gross Profit = Revenue − Cost of Sales
  • Operating profit = Gross profit − Operating Expenses
  • Profit for year = Operating profit + Profit from other activities − Net finance costs − Tax
  • Gross profit margin (%) = (Gross profit / Revenue) × 100
  • Operating profit margin (%) = (Operating profit / Revenue) × 100
  • Profit for year margin (%) = (Profit for year / Revenue) × 100

Break-even and Contribution

  • Variance = Budgeted figure − Actual figure
  • Contribution per unit = Selling price − Variable costs per unit
  • Total contribution = Contribution per unit × Units sold or Total revenue − Total variable costs
  • Break-even output = Fixed costs / Contribution per unit
  • Margin of safety = Actual level of output − Break-even level of output

Human Resources Metrics

  • Labour turnover (%) = (Number of staff leaving / Number of staff employed) × 100
  • Employee retention rate (%) = (Employees who remained for the period / Employees at start of period) × 100
  • Employee costs as % of turnover = (Employee costs / Turnover) × 100
  • Labour cost per unit = Labour costs / Units of output

Financial Ratios and Liquidity

  • Return on capital employed (ROCE) (%) = (Operating profit / Capital employed) × 100
  • Current ratio = Current assets / Current liabilities
  • Gearing (%) = (Non-current liabilities / Capital employed) × 100
  • Payables days = (Payables / Cost of sales) × 365
  • Receivables days = (Receivables / Revenue) × 365
  • Inventory turnover = Cost of sales / Average inventories held
  • Average rate of return (%) = (Average annual return / Initial cost of project) × 100

Note: For ROCE and Gearing, Capital employed = Total equity + Non-current liabilities.

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