Question 4.2: George put forward an investment proposal to his boss. The b...

George put forward an investment proposal to his boss. The business uses ARR to assess investment proposals using a minimum ‘hurdle’ rate of 27 per cent. Details of the proposal were as follows:

Cost of equipment £200,000
Estimated residual value of equipment £40,000
Average annual operating profit before depreciation £48,000
Estimated life of project 10 years
Annual straight-line depreciation charge £16,000 (that is, (£200,000 − £40,000)/10)
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The ARR of the project will be:

ARR=£48,000£16,000(£200,000+£40,000)/2×100%=26.7%ARR =\frac{£48,000 − £16,000}{(£200,000 + £40,000)/2} \times 100\%=26.7\%

The boss rejected George’s proposal because it failed to achieve an ARR of at least 27 per cent. Although George was disappointed, he realised that there was still hope.

In fact, all the business had to do was to give away the piece of equipment at the end of its useful life rather than sell it. The residual value of the equipment then became zero and the annual depreciation charge became ((£200,000 – £0)/10) = £20,000 a year. The revised ARR calculation was then as follows:

ARR=£48,000£20,000(£200,000+0)/2×100%=28% ARR =\frac{£48,000 − £20,000}{(£200,000 + 0)/2} \times 100\%=28\%

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