Investment Appraisal: Payback, ARR, NPV | Edexcel 9BS0 — The Business School
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9BS0 3.3.2

Investment Appraisal (9BS0 3.3.2)

Investment appraisal compares the returns of capital projects using payback period, average rate of return (ARR) and discounted cash flow (NPV). Edexcel tests both the calculations and your judgement about which criterion suits which situation.

The three techniques

Payback period measures how quickly a project recovers its initial cost from net cash inflows — the shorter, the better for cash-strapped or risk-averse firms.

Average rate of return (ARR) expresses average annual profit as a percentage of the initial investment, allowing comparison with interest rates or a target rate: ARR = (average annual profit / initial outlay) x 100.

Net present value (NPV) discounts future cash flows to today's values using a discount factor, recognising that money received later is worth less. A positive NPV means the project beats the discount rate.

Real firms combine them. Greggs, funding roughly £140 million of new production and distribution capacity around Derby to support its 3,000-shop ambition, will have tested the project against payback for liquidity, ARR against its target return, and NPV for long-run shareholder value.

Worked calculation: payback and ARR

A retailer considers refitting stores at a cost of £500,000, with net cash inflows of £150,000, £150,000, £200,000 and £250,000 over four years.

YearNet cash flowCumulative
1£150,000£150,000
2£150,000£300,000
3£200,000£500,000
4£250,000£750,000

Payback: cumulative inflows reach exactly £500,000 at the end of year 3, so payback = 3 years.

ARR: total profit = £750,000 − £500,000 = £250,000 over 4 years = £62,500 per year. ARR = £62,500 / £500,000 x 100 = 12.5%. If the firm's target return is 10%, the project passes; if capital costs 15%, it fails. Notice that payback ignores the £250,000 arriving in year 4 entirely — exactly the criticism evaluation answers should raise — while ARR counts it but treats it as no less certain than year 1 cash.

Choosing between the criteria

Each technique answers a different question. Payback prioritises liquidity and risk — sensible for small firms, uncertain markets or technology that dates quickly — but ignores all cash after the payback point, penalising long-term projects. ARR uses whole-project profitability and is easy to compare with a target rate, but ignores the timing of cash flows: £250,000 in year 4 counts the same as in year 1. NPV corrects timing through discounting and is theoretically the best single measure, yet it depends heavily on the chosen discount rate and on forecasts stretching years ahead.

Evaluation should also consider non-financial factors: strategic fit, environmental impact, staff and community effects, and the reliability of the forecasts themselves. A project with a 12.5% ARR built on optimistic sales forecasts is worse than an 11% project with conservative ones. Criteria should match the firm's objectives — cash preservation, profit or long-run value.

Key terms

Investment appraisal
Techniques for evaluating whether a capital project is financially worthwhile.
Payback period
The time taken for a project's net cash inflows to repay its initial cost.
Average rate of return
Average annual profit as a percentage of the initial investment.
Net present value
The sum of discounted future cash flows minus the initial cost of the project.
Discount factor
A multiplier reducing future cash flows to their value in today's money.
Net cash flow
Cash inflows minus cash outflows for a given period.
Opportunity cost
The return sacrificed by not investing funds in the next best alternative.
Criterion rate
The minimum target return a project must achieve to be accepted.

Practice questions

Explain one reason why a business might prefer the payback method of investment appraisal. [4 marks]

Model answer guidance: Payback shows how quickly the initial outlay is recovered, which matters to firms with limited cash reserves. A short payback reduces exposure to risk, because forecasts for the near future are more reliable than those years ahead. For example, a small retailer investing £500,000 recovers it in three years and can then reinvest. This simplicity also makes payback quick to calculate and easy for non-financial managers to understand.

Using the data provided, calculate the average rate of return of the project. You are advised to show your working. (Initial cost £500,000; inflows £150,000, £150,000, £200,000, £250,000.) [4 marks]

Model answer guidance: Total inflows = £750,000. Total profit = £750,000 − £500,000 = £250,000. Average annual profit = £250,000 / 4 = £62,500. ARR = £62,500 / £500,000 x 100 = 12.5%. The project would be accepted if the firm's target rate is below 12.5%, for example a 10% criterion rate.

Discuss the limitations of using ARR alone to decide between two investment projects. [8 marks]

Model answer guidance: ARR ignores the timing of cash flows, so a project delivering most cash in year 4 scores the same as one paying early, even though early cash can be reinvested and is more certain. It also ignores liquidity: a firm might accept a high-ARR project and still run out of cash before returns arrive. ARR depends entirely on forecasts, which are often optimistic for projects managers favour. Used alone it can mislead; combined with payback for risk and NPV for timing, it becomes a useful profitability check against a target rate.

Assess whether quantitative investment appraisal should outweigh qualitative factors when a retailer decides on a major expansion. [12 marks]

Model answer guidance: Quantitative appraisal imposes discipline: a retailer expanding, as Greggs is with around £140 million of supply-chain investment, needs evidence that returns beat the cost of capital, and payback and ARR make projects comparable and accountable. However, the numbers rest on forecasts of sales and costs that can be badly wrong, while qualitative factors — brand fit, staff capacity, community reaction, strategic positioning — often determine whether forecasts come true at all. A financially marginal project with strong strategic logic may beat a high-ARR project that misfits the brand. Overall, quantitative results should set a threshold, but the final choice should weigh both; the more uncertain the market, the more qualitative judgement deserves.

Evaluate whether net present value is the best method of investment appraisal for a large plc. (20) [20 marks]

Model answer guidance: NPV is theoretically the strongest method because it discounts cash flows, recognising that money now is worth more than money later, and it expresses value creation in pounds, aligning directly with shareholder interests. For a large plc with access to capital markets and long-lived projects, timing matters enormously, so NPV beats ARR's crude averaging and payback's neglect of later cash. However, NPV is sensitive to the discount rate chosen — small changes can flip decisions — and its precision can disguise the fragility of ten-year forecasts. It is also harder for non-specialists to interrogate, concentrating power with finance teams. Overall, NPV deserves to be the primary criterion for a plc, but best practice uses it alongside payback as a risk screen and subjects it to sensitivity analysis; the method is best only when its assumptions are made visible and challenged.

Examiner tips

  • Always show cumulative cash flows for payback — if the answer falls mid-year, use (shortfall / that year's inflow) x 12 for months.
  • For ARR, remember to subtract the initial cost before averaging profit; forgetting this is the most common error.
  • Match the technique to the firm's situation in evaluation: cash-poor favours payback, plc shareholders favour NPV.
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