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Investment Appraisal and Financial Decisions

Average rate of return and choosing a method

  • 3 things to know
  • AS 3

Overview

The average rate of return and its formula with worked calculations, choosing between payback, ARR and NPV, sensitivity analysis and non-financial factors.

What you need to know

Answer each one before you reveal it.

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Numbers

A Lisburn IT firm spends £40,000 on a project returning £18,000, £20,000 and £22,000 over three years. Calculate its ARR.

Key term

What is the average rate of return?

Numbers

State the formula for the average rate of return.

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    What is the average rate of return?

    Model answer

    The average rate of return shows a project's average yearly profit as a percentage of its initial cost. A higher ARR means a more profitable project.

  2. 2

    State the formula for the average rate of return.

    Model answer

    ARR equals average annual profit divided by the initial investment, multiplied by 100. Average annual profit is total net inflows minus the cost, divided by the number of years.

  3. 3

    A project costs £80,000 and brings total net inflows of £112,000 over 4 years. Calculate its ARR.

    Model answer

    The ARR is 10%. The working is £112,000 − £80,000 = £32,000, then £32,000 ÷ 4 = £8,000, then 8,000 ÷ 80,000 × 100 = 10%.

  4. 4

    A Lisburn IT firm spends £40,000 on a project returning £18,000, £20,000 and £22,000 over three years. Calculate its ARR.

    Model answer

    The ARR is 16.7%. The working is £60,000 − £40,000 = £20,000, then £20,000 ÷ 3 = £6,667. The ARR is 6,667 ÷ 40,000 × 100 = 16.7%.

  5. 5

    Give one advantage and one disadvantage of the average rate of return.

    Model answer

    ARR uses every year's figures and gives a percentage that is easy to compare with interest rates. ARR ignores the timing of cash flows and the time value of money.

  6. 6

    Why should a project's ARR be compared with the interest rate on borrowing?

    Model answer

    A project funded by a loan must earn more than the loan costs. An ARR of 6% is poor if the loan charges 8%.

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