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A machine can be purchased for \(150,000 and used for five years, yielding the following net incomes. In projecting net incomes, straight-line depreciation is applied, using a five-year life and a zero salvage value. Compute the machine’s payback period (ignore taxes). (Round the payback period to three decimals.)

Year 1 Year 2 Year 3 Year 4 Year 5

Net income . . . . . . . . . . . . \)10,000 \(25,000 \)50,000 \(37,500 \)100,000

Short Answer

Expert verified

The payback period is 2.7 years.

Step by step solution

01

Step-by-Step SolutionStep 1: Computation of depreciation

Depreciation=CostEstimatedlife=150,0005=$30,000

02

Computation of payback period.

Year

Net Income

Depreciation

Net cash flow

Cumulative cash flow

0

-150,000

-150,000

1

10,000

30,000

40,000

-110,000

2

25,000

30,000

55,000

-55,000

3

50,000

30,000

80,000

25,000

4

37,500

30,000

67,500

92,500

5

100,000

30,000

130,000

222,500

The payback period is between 2 and 3

Remainingperiod=NumeratorforpartialyearDenominatorforpartialyear=$55,000$80,000=0.70years

The payback period will be 2.70 years

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Most popular questions from this chapter

B2B Co. is considering the purchase of equipment that would allow the company to add a new product to its line. The equipment is expected to cost \(360,000 with a 12-year life and no salvage value. It will be depreciated on a straight-line basis. The company expects to sell 144,000 units of the equipment’s product each year. The expected annual income related to this equipment follows.

Compute the (1) payback period and (2) accounting rate of return for this equipment.

Sales . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . \)225,000

Costs

Materials, labor, and overhead (except depreciation on new equipment) . . . . . . . . . . . . . . . 120,000

Depreciation on new equipment . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30,000

Selling and administrative expenses . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22,500

Total costs and expenses . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 172,500

Pretax income . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52,500

Income taxes (30%) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15,750

Net income . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . $ 36,750

The management of Google is planning to acquire new equipment to manufacture tablet computers. What are some of the costs and benefits that would be included in Google’s analysis?

Grossman Corporation is considering a new project requiring a \(30,000 investment in an asset having no salvage value. The project would produce \)12,000 of pretax income before depreciation at the end of each of the next six years. The company’s income tax rate is 40%. In compiling its tax return and computing its income tax payments, the company can choose between two alternative depreciation schedules as shown in the table.

Straight-Line MACRS

Depreciation Depreciation*

Year 1 . . . . . . . . . . \( 3,000 \)6,000

Year 2 . . . . . . . . . . 6,000 9,600

Year 3 . . . . . . . . . . 6,000 5,760

Year 4 . . . . . . . . . . 6,000 3,456

Year 5 . . . . . . . . . . 6,000 3,456

Year 6 . . . . . . . . . . 2,000 1,728

Totals . . . . . . . . . . . \(30,000 \)30,000

Required

1. Prepare a five-column table that reports amounts (assuming use of straight-line depreciation) for each of the following items for each of the six years: (a) pretax income before depreciation, (b) straight-line depreciation expense, (c) taxable income, (d) income taxes, and (e) net cash flow. Net cash flow equals the amount of income before depreciation minus the income taxes. (Round answers to the nearest dollar.)

2. Prepare a five-column table that reports amounts (assuming use of MACRS depreciation) for each of the following items for each of the six years: (a) pretax income before depreciation, (b) MACRS depreciation expense, (c) taxable income, (d) income taxes, and (e) net cash flow. Net cash flow equals the amount of income before depreciation minus the income taxes. (Round answers to the nearest dollar.)

3. Compute the net present value of the investment if straight-line depreciation is used. Use 10% as the discount rate. (Round the net present value to the nearest dollar.)

4. Compute the net present value of the investment if MACRS depreciation is used. Use 10% as the discount rate. (Round the net present value to the nearest dollar.)

Analysis Component

5. Explain why the MACRS depreciation method increases the net present value of this project.

Following is information on two alternative investments being considered by Tiger Co. The company requires a 4% return from its investments.

Project X1 Project X2

Initial investment . . . . . . . . . . . . . . . . . . . . . . . . . \((80,000) \)(120,000)

Expected net cash flows in year:

1........................ 25,000 60,000

2........................ 35,500 50,000

3........................ 60,500 40,000

Compute each project’s (a) net present value and

(b) profitability index. (Round present value calculations to the nearest dollar and round the profitability index to two decimal places.) If the company can choose only one project, which should it choose? Explain.

Manning Corporation is considering a new project requiring a \(90,000 investment in test equipment with no salvage value. The project would produce \)66,000 of pretax income before depreciation at the end of each of the next six years. The company’s income tax rate is 40%. In compiling its tax return and computing its income tax payments, the company can choose between the two alternative depreciation schedules shown in the table.

Straight-Line MACRS

Depreciation Depreciation*

Year 1 . . . . . . . . . . \( 9,000 \)18,000

Year 2 . . . . . . . . . . 18,000 28,800

Year 3 . . . . . . . . . . 18,000 17,280

Year 4 . . . . . . . . . . 18,000 10,368

Year 5 . . . . . . . . . . 18,000 10,368

Year 6 . . . . . . . . . . 9,000 5,184

Totals . . . . . . . . . . . \(90,000 \)90,000

Required

1. Prepare a five-column table that reports amounts (assuming use of straight-line depreciation) for each of the following for each of the six years: (a) pretax income before depreciation, (b) straight-line depreciation expense, (c) taxable income, (d) income taxes, and (e) net cash flow. Net cash flow equals the amount of income before depreciation minus the income taxes. (Round answers to the nearest dollar.)

2. Prepare a five-column table that reports amounts (assuming use of MACRS depreciation) for each of the following for each of the six years: (a) pretax income before depreciation, (b) MACRS depreciation expense, (c) taxable income, (d) income taxes, and (e) net cash flow. Net cash flow equals the income amount before depreciation minus the income taxes. (Round answers to the nearest dollar.)

3. Compute the net present value of the investment if straight-line depreciation is used. Use 10% as the discount rate. (Round the net present value to the nearest dollar.)

4. Compute the net present value of the investment if MACRS depreciation is used. Use 10% as the discount rate. (Round the net present value to the nearest dollar.)

Analysis Component

5. Explain why the MACRS depreciation method increases this project’s net present value.

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