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M12-19. Payback Period and Accounting Rate of Return: Equal Annual Operating Cas

ID: 2560819 • Letter: M

Question

M12-19. Payback Period and Accounting Rate of Return: Equal Annual Operating Cash Flows with Disinvestment Roopali is considering an investment proposal with the following cash flows: Initial investment—depreciable assets. ....... Initial investment—working capital. ....... Net cash inflows from operations (per year for 7 years). ..... Disinvestment—depreciable assets. .. Disinvestment—working capital. ..... $45,000 5,000 10,000 3,000 2,000 Required a. Determine the payback period b. Determine the accounting rate of return on initial investment c. Determine the accounting rate of return on average investment

Explanation / Answer

a) Payback Period = Total Initial Investment/Annual net cash inflows

= (Investment depreciable assets+Working capital)/Annual net cash inflows

= ($45,000+$5,000)/$10,000 = $50,000/$10,000 = 5 years

b) Accounting rate of return on initial investment = (Annual net profit/Total Initial Investment)*100

Annual Net Profit = Cash Inflows - Depreciation per annum

Depreciation = (Investment in depreciable assets - Disinvestment depreciable assets)/useful life

Depreciation = ($45,000-$3,000)/7 years = $42,000/7 yrs = $6,000 per annum

Annual Net profit = $10,000 - $6,000 = $4,000

Accounting rate of return = ($4,000/$50,000)*100 = 8%

c) Accounting rate of return on average investment = (Annual net profit/Average Investment)*100

Average Investment = (Total Investment + Total Disinvestment)/2

Average Investment = ($45,000+$5,000+$3,000+$2,000)/2 = $27,500

Annual net profit = $4,000

Accounting rate of return = ($4,000/$27,500) = 14.55%