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An investment proposal is expected to have the following characteristics: Invest

ID: 2648485 • Letter: A

Question

An investment proposal is expected to have the following characteristics: Investments occur during the year and allow the indicated earnings, but both the income and investments are considered to have been made at the end of each year for the analysis purposes. In any year in which deductions exceed income, the tax benefits can be considered as additional income because the organization can apply the deductions against income earned from others operations. a) Determine the rate of return before taxes. b) If the effective income tax rate is 42 percent, what is the approximate after-tax rate of return? c) What is the actual after-tax rate of return?

Explanation / Answer

Accounting rate of return (ARR): This is the ratio of average annual profit and average investment. ARR is required for investment appraisal.

Computation of average annual profit and average investment:

Heads

Year 1

Year 2

Year 3

Total

Gross income

$17,000

$22,000

$19,000

$58,000

Less: Operating expense

$6,000

$8,000

$11,000

$25,000

Less: Depreciation expense

$10,000

$10,000

$10,000

$30,000

Net income before tax

$1,000

$4,000

-$2,000

$3,000

Average net income before tax

($3,000 / 3 years)

$1,000

              

Investment

$16,000

$14,000

$0

$30,000

Average investment

($30,000 / 3 years)

$10,000

  

           

a. Accounting rate of return before tax = Average net income before tax / Average investment

                                                           = ($1,000 / $10,000)

Heads

Year 1

Year 2

Year 3

Total

Gross income

$17,000

$22,000

$19,000

$58,000

Less: Operating expense

$6,000

$8,000

$11,000

$25,000

Less: Depreciation expense

$10,000

$10,000

$10,000

$30,000

Net income before tax

$1,000

$4,000

-$2,000

$3,000

Average net income before tax

($3,000 / 3 years)

$1,000

              

Investment

$16,000

$14,000

$0

$30,000

Average investment

($30,000 / 3 years)

$10,000

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