Accounting Rate of Return (ARR) (Cambridge (CIE) A Level Accounting): Revision Note

Exam code: 9706

Dan Finlay

Written by: Dan Finlay

Reviewed by: Tasiref Hussain

Updated on

Accounting rate of return (ARR)

What is the accounting rate of return (ARR)?

  • The accounting rate of return measures the average annual profit as a percentage of the average investment

  • It is the only investment appraisal method that uses profit, not cash flows

  • Owners usually prefer investments which have a higher accounting rate of return

  • If the accounting rate of return is higher than the target rate, then the project is usually accepted

  • If the accounting rate of return is lower than the target rate, then the project is usually rejected

How do I calculate the accounting rate of return?

  • STEP 1
    Calculate the net cash flow for each year

  • STEP 2
    Calculate the average profit

    • Add together the net cash flows including Year 0

      • Including Year 0 makes sure the depreciation is subtracted from the cash flows

      • The residual value in your exam will always be zero, and therefore, the total depreciation is equal to the initial investment

    • Divide by the number of years

      • Don't count Year 0

  • STEP 3
    Calculate the average investment

    • The residual value will always be zero in your exam

    • Therefore, the average investment is equal to half the initial cost

      • Average space investment equals fraction numerator Initial space cost over denominator 2 end fraction

  • STEP 4
    Calculate the accounting rate of return

    • ARR equals fraction numerator Average space profit over denominator Average space investment end fraction cross times 100

      • Write as a percentage

Examiner Tips and Tricks

Some students confuse the ARR with the IRR. Remember the ARR formula using averages.

What are the advantages and disadvantages of the accounting rate of return method?

Advantages

  • It uses profit

    • This makes it easy to compare with ROCE targets

    • Managers are familiar with working with the profit

  • It is expressed as a percentage

    • This makes it easy to compare with target rate

  • It considers all years of the project

Disadvantages

  • It ignores the time value of money

  • It uses the average profit

    • This can be misleading

  • It ignores timing of cash flows

Worked Example

The directors of D plc are considering the purchase of a new machine, costing $220 000, to manufacture a newly developed product, Product Omega. The directors intend to manufacture the product for only four years, after which the machine will have zero residual value.

The machine is to be depreciated over its life with no residual value, using the straight-line method.

The directors have estimated the following net cash flows arising from the project:

Year

Net cash flow ($)

1

45 000

2

60 000

3

105 000

4

30 000

Calculate the accounting rate of return (ARR) to two decimal places.

Answer:

Calculate the average profit

  • Add together the net cash flows including Year 0

Year

Net cash flow ($)

0

(220 000)

1

45 000

2

60 000

3

105 000

4

30 000

20 000

  • Divide by the number of years

Average space profit equals fraction numerator $ 20 space 000 over denominator 4 end fraction equals $ 5 space 000

Calculate the average investment

  • Divide the initial cost by 2

Average space investment equals fraction numerator $ 220 space 000 over denominator 2 end fraction equals $ 110 space 000

Calculate the ARR

fraction numerator 5 space 000 over denominator 110 space 000 end fraction cross times 100 equals 4.545...

Round to 2 decimal places

ARR = 4.55%

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Dan Finlay

Author: Dan Finlay

Expertise: Maths Subject Lead

Dan graduated from the University of Oxford with a First class degree in mathematics. As well as teaching maths for over 8 years, Dan has marked a range of exams for Edexcel, tutored students and taught A Level Accounting. Dan has a keen interest in statistics and probability and their real-life applications.

Tasiref Hussain

Reviewer: Tasiref Hussain

Expertise: Accounting Content Creator

An accomplished Accounting educator with 17 years’ experience, Tasiref combines deep subject expertise with a Master’s in Education and Leadership. A specialist in A-Level, IGCSE, and AAT (Level 4), he brings a unique "examiner’s perspective" from over a decade of marking for major boards. Tasiref uses a structured, knowledge-driven approach and high-impact materials to help students master technical processes and excel in exams.