3.3.2 - Investment Appraisal

3.3.2 - Investment Appraisal

This lesson explains how businesses use simple payback, average rate of return and discounted cash flow to judge investment projects. In exams, strong answers do not stop at the calculation: they explain what the figure means, why one method may be preferred in a particular context, and what the method fails to show.

What investment appraisal measures

When a business buys a new machine, opens a site or installs new technology, it commits a large sum of money now in the hope of receiving benefits later. That decision matters because the initial outlay ties up finance that could have been used elsewhere, so managers need a clear way to compare the cost of the project with the cash it is expected to generate.

Investment appraisal

The evaluation of an investment project to determine whether or not it is likely to be worthwhile.

In this topic, the starting point is the initial capital cost, which is the upfront spending on the investment, and the expected net cash flow from the project. Net cash flow means cash inflows minus cash outflows. If a project keeps generating positive net cash flow, it may eventually recover its cost and then add to the firm's overall returns.

Net cash flow

Cash inflows minus cash outflows.

Each technique answers a slightly different question, so exam answers improve when you are clear about what the method is actually measuring before you calculate it.

TechniqueMain questionFigure usually preferred
Simple paybackHow quickly is the initial cost recovered?Shortest payback period
ARRHow much average annual return is earned relative to the outlay?Highest ARR
NPVDo discounted future cash flows exceed the initial cost?Positive NPV, and usually the highest positive NPV

The key point is that these techniques do not all identify the "best" project in the same way. A fast payback improves liquidity, a high ARR suggests strong profitability, and a positive NPV suggests the investment adds value even after discounting future returns.

Simple payback

Simple payback focuses on speed. It measures how long it takes for the project to repay its initial investment. This is useful when cash is tight or when technology may become outdated quickly, because money recovered earlier can be used again sooner and the business is exposed to less risk over time.

Simple payback method

An investment appraisal technique that measures the time it takes for a project to repay its initial investment.

To calculate payback, add the annual net cash flows cumulatively until the total reaches the initial outlay. If the business has not fully recovered the cost by the end of a year, divide the amount still to recover by the net cash flow in the next year to find the fraction of that year needed, assuming net cash flows accrue evenly within that year. If their timing is supplied, use that timing instead.

Suppose a manufacturer spends £120,000 on a new packaging machine.

YearNet cash flow (£)Cumulative net cash flow (£)
130,00030,000
240,00070,000
335,000105,000
425,000130,000

By the end of year 3, the business has recovered £105,000, so £15,000 is still missing. In year 4, the project generates £25,000, so the remaining fraction is 15,000 / 25,000 = 0.6 of a year. That is about 7.2 months, so the payback period is about 3 years 7 months.

The usual decision rule is simple: the shorter the payback, the more attractive the project. Because cash returns sooner, the business improves liquidity earlier and reduces the danger of being stuck in a project for too long if conditions change.

A fashion retailer such as Zara may value a short payback on store technology or distribution equipment because consumer tastes and operating methods can change quickly. If the investment recovers its cost early, the business is less exposed to the risk that the equipment becomes less useful before it has paid for itself.

Payback does, however, miss an important point: it ignores cash flows after the payback point. A project that pays back in 2 years but then earns little afterwards could be chosen over a project that pays back in 3 years and then generates much larger long-term returns.

Average rate of return

Average rate of return shifts the focus from speed to profitability. Instead of asking how quickly cash comes back, it asks how much net return the project earns each year as a percentage of the initial spending. That makes it useful when managers want a clear profitability percentage that can be compared with alternative investments or target returns.

Average (Accounting) Rate of Return

A method of investment appraisal that measures the net return per annum as a percentage of the initial spending.

Average Rate of Return

ARR(%)=Net return per annumInitial investment×100ARR(\%) = \frac{\text{Net return per annum}}{\text{Initial investment}} \times 100

Using ARR usually involves three steps:

  1. Add the total net cash flow from the project.
  2. Subtract the initial investment to find the total net return.
  3. Divide by the number of years to find the annual average, then express that as a percentage of the original outlay.

Suppose a project costs £200,000 and is expected to generate net cash flows of £80,000, £70,000, £60,000 and £50,000 over four years. Total net cash flow is £260,000. Subtracting the initial cost leaves a total net return of £60,000. Dividing by four gives a net return per annum of £15,000. The ARR is therefore:

(15,000 / 200,000) × 100 = 7.5%

That figure means the project is expected to earn an average annual return equal to 7.5% of the original investment. If another project offered 5%, this one would usually look more attractive on ARR grounds because it appears to use the capital more profitably.

ARR is helpful because it gives a percentage that is easy to compare. However, it still has a major weakness: it ignores the time value of money. A return received in year 1 is treated the same as a return received in year 4, even though the earlier cash could have been reinvested sooner.

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