How does a business decide whether a major investment is worthwhile?
The methods of investment appraisal, including the payback period, the average rate of return and net present value using discounted cash flow, and the strengths and limitations of each as a basis for investment decisions.
A CCEA A-Level Business Studies answer on investment appraisal, covering the payback period, the average rate of return and net present value using discounted cash flow, how each is calculated and interpreted, and the strengths and limitations of the three methods.
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What this dot point is asking
CCEA wants you to calculate and interpret the payback period, the average rate of return and net present value, and evaluate the strengths and limitations of each method for investment decisions.
Why appraise investments
A major investment, such as new machinery or premises, ties up large sums for years. Investment appraisal compares the initial cost with the expected net cash inflows to judge whether the return justifies the outlay and risk, and to compare competing projects.
The payback period
The shorter the payback, the sooner the money is recovered and the lower the risk. It is calculated by accumulating the cash inflows until they equal the initial cost.
Strengths: simple, useful where cash flow is tight, and good for fast-changing markets. Limitations: ignores cash flows after payback and ignores the total profitability and the time value of money.
The average rate of return
If a project costing 50,000 pounds returns 80,000 pounds over 5 years, total profit is 30,000 pounds, average annual profit is 6,000 pounds, and ARR is (6,000 / 50,000) x 100 = 12 per cent. The higher the ARR, the more profitable the investment. Strengths: shows profitability and is easy to compare with interest rates. Limitations: uses average profit, ignoring the timing of returns and the time value of money.
Net present value
Because money received in the future is worth less than money today (the time value of money), each future inflow is multiplied by a discount factor before being added up. The discounted inflows are summed and the initial cost subtracted to give the NPV.
Strengths: accounts for the time value of money and the whole project life. Limitations: complex, sensitive to the chosen discount rate, and dependent on estimated cash flows.
Choosing between methods
Payback suits firms worried about cash flow and risk; ARR suits comparison of profitability; NPV suits major long-term decisions where the time value of money matters. Most firms calculate more than one and weigh the results against their objectives and the reliability of the cash-flow estimates.
Try this
Q1. Define the term payback period. [2 marks]
- Cue. The time it takes for the net cash inflows from an investment to repay its initial cost.
Q2. A project costs 60,000 pounds and returns 90,000 pounds over 6 years. Calculate the average rate of return. [3 marks]
- Cue. Total profit = 30,000 pounds; average annual profit = 5,000 pounds; ARR = (5,000 / 60,000) x 100 = 8.3 per cent.
Q3. Analyse why net present value is considered a more complete method than payback. [6 marks]
- Cue. NPV discounts future cash to today's value and uses the whole project life, capturing the time value of money and total return, whereas payback ignores both.
Exam-style practice questions
Practice questions written in the style of CCEA exam questions on this dot point, with worked answer explainers. The year tag is the paper they imitate, not the source.
CCEA 20196 marksA machine costs 40,000 pounds and generates net cash inflows of 10,000 pounds in year 1, 15,000 pounds in year 2 and 20,000 pounds in year 3. Calculate the payback period.Show worked answer →
Worth 6 marks. Markers reward the cumulative method and the correct period.
After year 1, cumulative inflow is 10,000 pounds, leaving 30,000 pounds of the 40,000 pounds to recover.
After year 2, cumulative inflow is 25,000 pounds (10,000 plus 15,000), leaving 15,000 pounds to recover.
During year 3 the machine generates 20,000 pounds. The remaining 15,000 pounds is recovered partway through year 3: 15,000 divided by 20,000 equals 0.75 of the year.
Payback period = 2 years plus 0.75 of a year = 2 years and 9 months. This is the time taken for the cash inflows to repay the initial cost.
CCEA 20218 marksDiscuss the usefulness of net present value as a method of investment appraisal.Show worked answer →
Worth 8 marks. Discuss needs balanced points and a judgement.
Strengths: net present value uses discounted cash flow, so it accounts for the time value of money, recognising that cash received later is worth less than cash today. It considers the whole life of the project and gives a clear rule: accept if the NPV is positive. This makes it the most complete method.
Limitations: it is complex to calculate and explain; it depends heavily on the chosen discount rate, which is a judgement and can change the result; and it relies on estimated future cash flows that may prove inaccurate.
Judgement: NPV is the most thorough method because it values money over time and uses the whole project life, so it is well suited to major long-term decisions. However, because it rests on estimates and the discount rate, it should be used alongside payback and the average rate of return rather than in isolation.
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Sources & how we know this
- CCEA GCE Business Studies specification — CCEA (2016)