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If Quail Company invests \(50,000 today, it can expect to receive \)10,000 at the end of each year for the next seven years, plus an extra $6,000 at the end of the seventh year. What is the net present value of this investment assuming a required 10% return on investments? (Round present value calculations to the nearest dollar.)

Short Answer

Expert verified

The net present value of the project is $1,763

Step by step solution

01

Step-by-Step Step 1: Definition of net present value

The net present value is defined as the difference between the present value of the cash inflows and the present value of cash outflows.

02

Computation of net present value

Chart Values are based on:
N = 7, I = 10%










Cash Flow

Select chart

Amount

X

PV Factor

=

Present Value

Annual cash flow

Present value of an annuity of 1

10,000

X

4.8684

48,684

Residual Value

Present value of 1

6,000

X

0.5132

3,079


Present values of cash inflows
51,763

Immediate cash outflows
-50,000

Net present value
1,763

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Most popular questions from this chapter

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.

Refer to the information in Exercise 24-11 and instead assume the company requires a 12% return on its investments. Compute each projectโ€™s

(a) net present value and

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

Refer to the information in QS 24-11 and instead assume the investment has a salvage value of $20,000. Compute the investmentโ€™s net present value.

Following is information on an investment considered by Hudson Co. The investment has zero salvage value. The company requires a 12% return from its investments. Compute this investmentโ€™s net present value.

Investment A1

Initial investment . . . . . . . . . . . . . . . . . . . . . . . . $(200,000)

Expected net cash flows in year:

1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 100,000

2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 90,000

3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75,000

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. Assume the company uses an 8% discount rate. Compute the net present value of this investment. (Round your answer to the nearest dollar.)

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