Landrum Corporation is considering investing in specialized equipment costing​ $250,000. The equipment has a useful life of 5 years and a residual value of​ $20,000. Depreciation is calculated using the straight-line method. The expected net cash inflows from the investment​ are:
Year 1 $60,000
Year 2 $90,000
Year 3 $110,000
Year 4 $40,000
Year 5 $25,000
Total cash inflows $325,000
Landrum​ Corporation's required rate of return on investments is​ 14%.What is the accounting rate of return on the​ investment?
A. 44.40%
B. 5.60%
C. 7.60%
D.18.40%

Respuesta :

Answer: ARR = Average profit/Initial outlay x 100

               ARR = $19,000/$250,000 x 100

               ARR = 7.60%

The correct answer is C

               

               Depreciation = Cost - Residual value/Estimated useful life

                                       = $250,000 - $20,000/5 years

                                       = $46,000 per annum

               Average profit = Total profit/No of years

                                         = $325,000/5

                                         = $65,000

                                                                       $

              Average profit                           65,000

        Less: Depreciation                           46,000

       Average profit after depreciation   19,000

Explanation: In determining the accounting rate of return of the investment, there is need to calculate depreciation using straight line method. The amount of depreciation would be deducted from the average profit so as to obtain the average profit after depreciation. The average profit would be divided by the initial outlay in order to obtain the accounting rate of return.

The Accounting rate of return is C which is 7.60%

First step is to calculate Total Net Income Value

Total Net Income Value = Total Cash flows - Total Depreciation

Total Net Income Value = $325,000 - ( $250,000 - $20,000 )

Total Net Income Value=$325,000-$230,000

Total Net Income Value= $95,000

Second step  is to calculate Average net income

Average net income = Total net Income / Numbers of years

Average net income = $95,000 / 5

Average net income= $19,000

Now let calculate the Accounting rate of return

Accounting rate of return = (Average annual income / Initial Investment) * 100

Accounting rate of return = ($19,000 / 250,000) * 100

Accounting rate of return = 7.60%

In conclusion the Accounting rate of return is 7.60%

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