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2 Accounting rate of return

This method establishes the relationship between the capital cost of a project and the profits accruing. The accounting rate of return is calculated by the following formula.

Average annual profit

------------------------------- x 100

Average cost of investment

An average profit is calculated over the life of the project. The average cost of investment is calculated by adding the initial cost of the investment and the value at the end of its useful life divided by two.

Example:

A company has two alternative projects A and B, each involving an outlay of £500,000 and £600,000

Each project has an economic life of 5 years. Project A has a residual value of £50,000. Annual profits before depreciation is £200,000 before depreciation.

Project A

Project B

£

£

Initial outlay

500,000

600,000

Annual profits (Yr. 1-5)

1,000,000

1,000,000

Less depreciation (Yr. 1-5)

500,000

550,000

----------

----------

Profits after depreciation

500,000

450,000

---------

---------

Average net profit

100,000

90,000

----------

--------

Accounting rate of return

40%

28%

The ARR method is easy to administer and is understood by business in general because of is similarity with the return on investment (ROCE) ratio.

The main disadvantage with payback and accounting rate of return is both ignore the time value of money. Money has a value in time, namely, a rate of interest. If £1 is invested for 1 year at a rate of interest of 10% the investment grows to £1.10 at the end of year 1. If £1.10 is invested in year 2 the investment

grows to £1.21 at the end of year 2. This process is called compounding which is represented by the formula £1(1 + r)n.

The opposite of compounding is discounting. This answers the question ‘ what is £1 receivable in a year’s time worth in today’s value?’ In present value terms £1 receivable in a years time (assuming the rate of interest is 10%) is £0.909. The formula for discounting is: £1

-----------

(1 + r)n

Investment appraisal compares the cash outflows with the cash returns from the project and these cash flows take place over a lengthy period of time.

Discounting allows all the cash flows to be converted to present day values which permits meaningful comparison. The following investment appraisal methods employ the discounting of cash flows.

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