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What is an Accounting Rate of Return (ARR)?


Accounting Rate of Return (ARR): It measures average return on investment in terms of income rather than cash flows.It is also known as return on investment or return on capital employed. Higher the ARR of a project better for the investment. It does not consider time value of money.

Advantages of Accounting Rate of Return:
·        It is very simple and easy to calculate.
·        It needs financial statement for computing ARR.
·        It gives rough idea to know that is this investment is good for business or not?. Company cannot depend on ARR for taking a decision.

Disadvantages of Accounting Rate of Return:
·        It does not include time value of money concept.

·        It does not show accurate value of investment because it is just based on averages of cash flows.

Formula for Accounting Rate of Return (ARR):

Accounting Rate of Return (ARR) = Average net annual income/ Average Investment

                                                          OR

Accounting Rate of Return (ARR) = Average net annual income/ Original Investment

Average net annual income = (total income – operating expense (including depreciation, tax etc))/ No. of years

Average Investment = Net working capital+Salvage value+ 1/2(Initial investment - salvage value)

Example: In project A the initial investment is Rs.2, 00,000 for 5 years. Incomes in five years are as follows –
·         Rs. 50,000,
·          Rs.55, 000,
·         Rs.60, 000,
·          Rs.70, 000 and
·         Rs.82,000

.Find out the accounting rate of return?

Particular
1st year
2nd year
3rd year
4th year
5th year
Profit
50,000
55,000
60,000
70,000,
82,000
*Depreciation
(40,000)
(40,000)
(40,000)
(40,000)
(40,000)
Net Profit/
Income
10,000
15,000
20,000
30,000
42,000


*Average depreciation = (Initial investment-Salvage Value)/Useful life in years

Net total income =Rs. (10,000 +15, 000 + 20, 0000 + 30, 000 + 42, 000) = Rs. 1, 17, 000

Average net annual income= (total income – operating expense (including depreciation, tax etc))/No. of years
= 1,17,000/5
=Rs.23,400

Average Investment = Net working capital+salvage value +1/2 (Initial investment - salvage value)
=0+0+1/2 (2,00,000-0)
=1,00,000

Accounting Rate of Return (ARR) = Average net annual income/ Average Investment
=23,400/1,00,000
=0.47*100
=23%

OR

Accounting Rate of Return (ARR) = Average net annual income/ Original Investment
=23,400/2,00,000
=11.7%

Example: There are three investment project A,B and C the cost of investment are Rs.5,00,000,Rs 5,00,000 and Rs.7,00,000 respectively for 4 years.In below table 4 years profits and other information are provided:

Particular
1st year
2nd year
3rd year
4th year
Project A( profit after depreciation and tax)
30,000
33,000
22,000
46,000
Project B ( profit after depreciation and tax)
29,000
42,000
15,000
74,000
Project C  ( profit after depreciation and tax)
20,000
36,000
30,000
30,000

Other information is:

  • Salvage value of project A is Rs.15, 000.

  • Depreciation has been charged on straight line method.



Particular
Project A (Rs.)
Project B (Rs.)
Project C (Rs.)
Original investment
(5,00,000)
(5,00,000)
(7,00,000)
Income/Profit after depreciation and tax
1,31,000
1,60,000
1,16,000
*Average net annual income
32,750
40,000
29,000
*Average investment
2,57,500
2,50,000
3,50,000
*Accounting Rate of Return (ARR)
12.7%
16%
8.2%


*Average net annual income= (total income – operating expense (including depreciation, tax etc))/No. of years

*Average Investment = Net working capital+salvage value +1/2 (Initial investment - salvage value)

*Accounting Rate of Return (ARR) = Average net annual income/ Average Investment

Project B has higher ARR 16%. So, project B is better investment option in comparison to project A and C.




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