EuraStudy
This chapter builds the quantitative core of the subject. It sets financial objectives, surveys the sources of finance, and teaches contribution and break-even analysis, cash-flow forecasting, budgeting and variance analysis, and the interpretation of profitability through margins and return on capital employed - always pairing the calculation with its interpretation and evaluation.
7 sections~34 min reading time4 competenciesLevel Foundation 1 · Standard 4 · Advanced 2
basic level
AS-Level requires sources of finance, contribution and break-even, cash-flow forecasting and simple profit calculations.
higher level
The full A-Level expects confident break-even, variance and ratio analysis (margins and ROCE) with interpretation, and evaluation of the reliability of forecasts and data.
Reading depth: In depth
Text size: Standard
A young online retailer is growing sales at 40 per cent a year but is short of cash because it must pay suppliers before customers pay. Recommend the financial objective it should prioritise.
Rapid growth is consuming cash: the faster it grows, the more stock and working capital it must fund up front, even though it may be profitable on paper.
A profit-maximisation objective would encourage yet faster growth, worsening the cash squeeze. A cash-flow objective - maintaining a minimum positive cash balance - directly targets the risk that could kill the business.
Prioritise a cash-flow objective in the early years to secure survival, then shift towards profit and return objectives once cash flow is stable. The judgement depends on access to finance: with a secured overdraft or investment, it could safely weight growth more heavily.
Result: The retailer should prioritise a cash-flow objective while it is growing fast and cash-hungry, moving to profit and return objectives once liquidity is secure - because a profitable firm can still fail for lack of cash.
Typical mistakes
Active revision
A fast-growing start-up is deciding between a profit-maximisation objective and a cash-flow objective for its first two years. Recommend, with reasons, which it should prioritise.
Active recall
Recall the key points — then reveal.
Sources: GCE AS and A level subject content for business (Department for Education) · AQA A-level Business 7132 specification (AQA)
Sources of finance
A profitable private limited company needs £300,000 to buy a long-life machine. It has modest retained profit and low existing borrowing, and the owners want to keep control. Recommend a source.
The machine is a long-term asset, so it needs long-term finance - an overdraft or trade credit would be inappropriate.
Issuing shares raises the money without repayment but dilutes ownership and control, which the owners want to avoid. A long-term bank loan keeps ownership intact and, with low existing gearing, is affordable, though it adds fixed interest costs and raises gearing.
Recommend a long-term bank loan (perhaps topped up with retained profit to reduce the amount borrowed), because it preserves control, matches the asset's life and is affordable given low current gearing. The judgement depends on interest rates and the reliability of the profit that must service the loan.
Result: A long-term bank loan, part-funded by retained profit, best matches a long-life asset while preserving the owners' control - preferable to share issue here because control matters and gearing is low.
Typical mistakes
Active revision
A private limited company needs £250,000 to buy new machinery. Evaluate whether it should use a bank loan or issue more shares to existing investors.
Active recall
Recall the key points — then reveal.
Sources: GCE AS and A level subject content for business (Department for Education) · AQA A-level Business 7132 specification (AQA)
Revenue, costs and profit
Contribution per unit
The amount each unit contributes towards fixed costs and then profit. The key to break-even and special-order decisions.
Total contribution
Revenue left after variable costs, available to cover fixed costs and provide profit.
Profit via contribution
Once total contribution exceeds fixed costs, the surplus is profit. More useful for marginal decisions than revenue minus total cost.
A firm's product sells for £25 with a variable cost of £15. Its factory has spare capacity and its £40,000 monthly fixed costs are already covered by normal sales. A retailer offers a one-off order of 500 units at £20 each. Should the firm accept?
Contribution = special price - variable cost = £20 - £15 = £5 per unit. Note the order price (£20) is below the normal price (£25) but still above variable cost.
Total contribution = £5 x 500 = £2,500. Because fixed costs are already covered by normal sales and there is spare capacity, this £2,500 is extra profit.
Accept the order on the numbers: it adds £2,500 with no extra fixed cost. But evaluate the risks - regular customers paying £25 may object, and the retailer may expect the £20 price again - so the firm should ring-fence it as a genuine one-off.
Result: The order makes a positive contribution of £2,500 and should be accepted on financial grounds because fixed costs are already covered - provided the firm protects its normal pricing from the precedent.
Typical mistakes
Active revision
A firm sells a product for £25 with variable costs of £15 and monthly fixed costs of £40,000. It is offered a one-off order of 500 units at £20 each. Calculate the contribution of the order and advise whether to accept it.
Active recall
Recall the key points — then reveal.
Sources: GCE AS and A level subject content for business (Department for Education) · AQA A-level Business 7132 specification (AQA)
Break-even chart
Break-even output
The output at which total contribution exactly covers fixed costs, so profit is zero. Each unit's contribution chips away at fixed costs until they are covered.
Margin of safety
The cushion of sales the firm could lose before making a loss. A larger margin means lower risk.
Profit above break-even
Beyond break-even, every unit's contribution is profit, so profit equals the margin of safety times contribution per unit (equal to total contribution minus fixed costs).
A firm has monthly fixed costs of £6,000, a selling price of £30 and a variable cost of £10 per unit, and plans to produce and sell 500 units. Calculate the contribution per unit, break-even output, margin of safety and monthly profit, and comment on the risk.
Contribution = selling price - variable cost = £30 - £10 = £20 per unit.
Break-even = fixed costs / contribution per unit = 6,000 / 20 = 300 units. Below 300 units the firm makes a loss; at 300 it breaks even.
Margin of safety = actual output - break-even output = 500 - 300 = 200 units. The firm could lose 200 units of sales (40 per cent of planned output) before making a loss.
Profit = margin of safety x contribution = 200 x £20 = £4,000 (check: total contribution 500 x £20 = £10,000, minus fixed costs £6,000 = £4,000). A 200-unit (40 per cent) margin of safety is a reasonably comfortable cushion, but the figures assume all 500 units are sold at £30 - if demand or price is weaker, the position is riskier.
Result: Contribution is £20 per unit, break-even is 300 units, the margin of safety is 200 units (40 per cent) and monthly profit is £4,000. The position is fairly safe, but rests on the assumption that all 500 units sell at £30 - the key limitation of break-even analysis.
Typical mistakes
Active revision
A firm has fixed costs of £6,000 a month, sells its product at £30 and has a variable cost of £10 per unit. Calculate its break-even output. If it plans to make 500 units, calculate its margin of safety and monthly profit, and evaluate how safe its position is.
Active recall
Recall the key points — then reveal.
Sources: GCE AS and A level subject content for business (Department for Education) · AQA A-level Business 7132 specification (AQA)
Cash-flow forecast (illustrative)
Net cash flow
The change in cash during the period. Positive adds to the bank balance; negative reduces it.
Closing balance
The cash at the end of the period, which becomes the next period's opening balance. A negative closing balance signals a cash shortfall to plan for.
A firm begins January with a cash balance of £4,000. Forecast inflows and outflows are: January £16,000 in, £20,000 out; February £22,000 in, £19,000 out. Calculate the net cash flow and closing balance for each month and advise on the position.
Net cash flow = 16,000 - 20,000 = -£4,000. Closing balance = opening 4,000 + (-4,000) = £0.
Opening balance = January's closing = £0. Net cash flow = 22,000 - 19,000 = +£3,000. Closing balance = 0 + 3,000 = £3,000.
The firm just survives January (closing £0) and recovers in February. The January position is dangerously tight, so it should arrange a small overdraft as a buffer, chase inflows earlier or delay a January outflow. The forecast assumes the timing is accurate - a late-paying customer in January would push the balance negative.
Result: The closing balances are £0 (January) and £3,000 (February): the firm scrapes through a tight January before recovering. It should hold an overdraft buffer, because the forecast leaves no room for a delayed receipt.
Typical mistakes
Active revision
A business starts a month with £5,000 cash, expects inflows of £18,000 and outflows of £22,000. Calculate its closing balance and recommend two ways it could avoid the resulting shortfall.
Active recall
Recall the key points — then reveal.
Sources: GCE AS and A level subject content for business (Department for Education) · AQA A-level Business 7132 specification (AQA)
Budget versus actual (variance analysis)
Variance
Judge the direction by its effect on profit: costs below budget or revenue above budget are favourable; the reverse are adverse.
A firm budgeted sales of £200,000 and costs of £150,000 (a £50,000 profit). Actual sales were £190,000 and actual costs £140,000. Calculate the variances, label them, and interpret the result.
Budget 200,000 - actual 190,000 = £10,000 lower than planned. Lower revenue is worse for profit, so this is a £10,000 adverse variance.
Budget 150,000 - actual 140,000 = £10,000 lower than planned. Lower costs are better for profit, so this is a £10,000 favourable variance.
Actual profit = 190,000 - 140,000 = £50,000, exactly as budgeted, so the profit variance is nil. But this masks two offsetting effects: sales fell short (adverse) while costs came in under budget (favourable). The firm should investigate why sales disappointed and whether the cost saving is sustainable or reflects under-spending on something important.
Result: A £10,000 adverse revenue variance and a £10,000 favourable cost variance cancel out to leave profit on budget - but the offsetting variances hide a sales shortfall and a cost saving that both need investigating, showing why the causes matter more than the headline profit.
Typical mistakes
Active revision
A department budgeted £200,000 revenue and £150,000 costs but achieved £190,000 revenue and £140,000 costs. Calculate the revenue, cost and profit variances, label each, and analyse what they might reveal.
Active recall
Recall the key points — then reveal.
Sources: GCE AS and A level subject content for business (Department for Education) · AQA A-level Business 7132 specification (AQA)
Profit margins compared
Gross profit margin
How much of each pound of sales remains after the direct cost of sales. Reflects pricing power and direct-cost control.
Operating profit margin
Profitability of core trading after operating expenses (overheads), before interest and tax.
Net profit margin
The bottom line as a percentage of sales, after interest and tax.
Return on capital employed
The primary profitability ratio: operating profit as a percentage of the long-term capital used to earn it. Judge against past ROCE, rivals and the cost of capital.
A business has revenue of £500,000, cost of sales £300,000, operating expenses £120,000, net profit (after interest and tax) £60,000 and capital employed of £400,000. Calculate the gross, operating and net margins and ROCE, and interpret them.
Gross profit = revenue - cost of sales = 500,000 - 300,000 = £200,000. Gross margin = 200,000 / 500,000 x 100 = 40 per cent.
Operating profit = gross profit - operating expenses = 200,000 - 120,000 = £80,000. Operating margin = 80,000 / 500,000 x 100 = 16 per cent.
Net margin = 60,000 / 500,000 x 100 = 12 per cent. ROCE = operating profit / capital employed = 80,000 / 400,000 x 100 = 20 per cent.
A 40 per cent gross margin falls to 16 per cent operating, so overheads absorb a large slice - worth investigating. A 20 per cent ROCE is healthy if it beats the cost of capital and rivals, but these figures are only meaningful compared with the past and competitors, and they say nothing about non-financial strengths.
Result: Gross margin 40 per cent, operating margin 16 per cent, net margin 12 per cent and ROCE 20 per cent: profitable, with overheads taking a notable share. The judgement depends on comparison with prior years, rivals and the cost of capital - a single set of ratios is only a starting point.
Typical mistakes
Active revision
A firm reports revenue £500,000, gross profit £200,000, operating profit £80,000, net profit £60,000 and capital employed £400,000. Calculate the three margins and ROCE, and analyse the firm's profitability.
Active recall
Recall the key points — then reveal.
Sources: GCE AS and A level subject content for business (Department for Education) · AQA A-level Business 7132 specification (AQA)
References & sources
Department for Education