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How does a business decide whether an investment is worth making?

Average rate of return: the purpose of investment appraisal, the calculation of average annual profit and the average rate of return as a percentage of the initial investment, the interpretation of ARR, and its use and limitations when comparing investments.

A focused answer to the OCR GCSE Business J204 average rate of return calculation, covering average annual profit, ARR as a percentage of the initial investment, how to interpret the result, and the uses and limits of ARR for comparing investments.

Generated by Claude Opus 4.810 min answerUpdated 2026-06-02

Reviewed by: AI editorial process; not yet individually human-reviewed

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Quick answer

The average rate of return (ARR) is a way of judging whether an investment, such as buying machinery or a vehicle, is worthwhile, by expressing the profit it earns as a yearly percentage of the money put in. You first find the average annual profit by dividing the total profit from the investment by the number of years it lasts. You then divide that average annual profit by the initial investment and multiply by 100 to get the ARR as a percentage. The higher the ARR, the better the return per pound invested, and a business compares the ARR with other investments or with the interest it could earn by leaving the money in the bank. ARR is simple and useful, but it ignores the timing of the returns, the size and risk of the investment, and any non-financial factors, so it should not be the only basis for a decision.

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What this topic is asking
What ARR is for
Calculating the average rate of return
Interpreting the result
The uses and limits of ARR
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What this topic is asking

OCR J204 includes the average rate of return (ARR) as the GCSE method of investment appraisal. You need to know what ARR is for, how to calculate it (the average annual profit as a percentage of the initial investment), how to interpret the figure, and its limits when comparing two investments. It is a short, high-value calculation that often appears alongside a judgement question on Paper 2.

What ARR is for

Businesses use it because money invested in one project cannot be used elsewhere, so they want to know what return they will get. ARR turns a project's profit into a single percentage that can be set against another project, or against the interest the business could earn simply by leaving the money in the bank.

Calculating the average rate of return

There are two steps: find the average annual profit, then express it as a percentage of the initial investment.

The initial investment is the amount of money put in at the start. The total profit is the profit the investment earns over its whole life, which is divided by the number of years to give the average annual profit before it is turned into a percentage.

Interpreting the result

So an ARR of, say, $30\%$ means the investment returns thirty pence a year for every pound put in, on average, which would comfortably beat leaving the money in a bank account paying a few percent.

The uses and limits of ARR

Because of these limits, ARR should inform a decision alongside other evidence, not replace judgement. A project with a slightly lower ARR but faster, safer returns may still be the better choice.

Comparing two investments with ARR

Set out the figures

Project A costs $50{,}000$ and is expected to earn total profit of $40{,}000$ over $4$ years. Project B costs $30{,}000$ and is expected to earn total profit of $21{,}000$ over $3$ years.

Project A

\text{Average annual profit} = \frac{40{,}000}{4} = 10{,}000.

\text{ARR} = \frac{10{,}000}{50{,}000} \times 100 = 20\%.

Project B

\text{Average annual profit} = \frac{21{,}000}{3} = 7{,}000.

\text{ARR} = \frac{7{,}000}{30{,}000} \times 100 = 23.3\%.

Interpret the result

Project B has the higher ARR ( $23.3\%$ against $20\%$ ), so it earns a better return per pound invested even though it is smaller and earns less total profit. On the ARR measure B is preferable, but the business should still weigh the timing of the returns, the risk, and any non-financial factors before deciding.

Try this

Q1. An investment earns total profit of $24{,}000$ over $4$ years. Calculate the average annual profit. [1 mark]

Cue. $\frac{24{,}000}{4} = 6{,}000$ .

Q2. An investment of $20{,}000$ gives an average annual profit of $5{,}000$ . Calculate the ARR. [2 marks]

Cue. $\frac{5{,}000}{20{,}000} \times 100 = 25\%$ .

Exam-style practice questions

Practice questions written in the style of OCR exam questions on this dot point, with worked answer explainers. The year tag is the paper they imitate, not the source.

OCR J204/02 20204 marksA business invests

40{,}000

in new machinery that is expected to make a total profit of

60{,}000

over

5

years. Calculate the average rate of return. Show your working. (Paper 2, Section B)

Show worked answer →

A 4-mark AO2 calculation. The average annual profit is the total profit divided by the number of years, which is 60,000 divided by 5, equalling 12,000. The average rate of return is the average annual profit divided by the initial investment, times 100, which is 12,000 divided by 40,000, times 100, equalling 30 percent. Markers award marks for the correct average annual profit (total profit divided by the years) and the correct ARR with the percent sign. A common error is to divide the total profit by the investment without first turning it into an average annual figure, or to forget to multiply by 100.

OCR J204/02 20226 marksProject A has an average rate of return of

25\%

and Project B has an ARR of

18\%

. Using the ARR figures, analyse why the business might still not simply choose Project A. (Paper 2, Section B)

Show worked answer →

A 6-mark AO3 question. The ARR says Project A earns a higher percentage return (25 percent against 18 percent), so on this measure alone A looks better. But analysis should develop why ARR is not the whole story (chained): ARR ignores the timing of the returns, so if Project B pays back its cash much sooner it improves cash flow and reduces risk even though its percentage is lower. ARR also ignores the size of the initial investment and the level of risk, so a higher ARR on a much larger or riskier project may not suit the business. Non-financial factors (the effect on staff, the environment, or fit with the firm's aims) matter too. Markers reward using the ARR figures correctly and then a developed chain explaining the limitations of relying on ARR alone.

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Sources & how we know this

OCR GCSE Business (J204) specification — OCR (2017)