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A company is considering investing in a new machine that requires a cash payment of \(47,947 today. The machine will generate annual cash flows of \)21,000 for the next three years. What is the internal rate of return if the company buys this machine?

Short Answer

Expert verified

The internal rate of return of the project is 15%

Step by step solution

01

Step-by-Step SolutionStep 1 Definition of internal rate of return

The internal rate of return is a financial metric which helps in interpreting the profitability of the project or business.

02

Computation of internal rate of return

Presentvaluefactor=AmountInvestedAnnualnetcashflow=$47,947$21,000=2.2832

The internal rate of return is 15% at 2.2832 present value factor.

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Most popular questions from this chapter

Following is information on two alternative investments being considered by Jolee Company. The company requires a 10% return from its investments.

Project A Project B

Initial investment . . . . . . . . . . . . . . . . . . . . . . . . . \((160,000) \)(105,000)

Expected net cash flows in year:

1........................ 40,000 32,000

2........................ 56,000 50,000

3........................ 80,295 66,000

4........................ 90,400 72,000

5........................ 65,000 24,000

For each alternative project, compute the

(a) net present value and

(b) profitability index. (Round your answers in part b to two decimal places.) If the company can only select 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 companyโ€™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 projectโ€™s net present value.

Identify two disadvantages of using the payback period for comparing investments.

Identify four reasons that capital budgeting decisions are risky.

Compute the payback period for each of these two separate investments (round the payback period to two decimals):

a. A new operating system for an existing machine is expected to cost \(520,000 and have a useful life of six years. The system yields an incremental after-tax income of \)150,000 each year after deducting its straight-line depreciation. The predicted salvage value of the system is \(10,000.

b. A machine costs \)380,000, has a \(20,000 salvage value, is expected to last eight years, and will generate an after-tax income of \)60,000 per year after straight-line depreciation.

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