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Peng Company is considering an investment expected to generate an average net income after taxes of \(1,950 for three years. The investment costs \)45,000 and has an estimated $6,000 salvage value. Assume Peng requires a 15% return on its investments. Compute the net present value of this investment. (Round each present value calculation to the nearest dollar.)

Short Answer

Expert verified

The net present value of the investment is -$6,921

Step by step solution

01

Step-by-Step SolutionStep 1: Definition of salvage value

The salvage value is defined as the estimated book value of any asset after deducting all the depreciation on the asset.

02

Computation of net present value

Cash Flow

Select chart

Amount

X

PV Factor

=

Present Value

Annual cash flow

Present value of an annuity of 1

$14,950

X

2.2832

$34,134

Residual Value

Present value of 1

$6,000

X

0.6575

3,945


Present values of cash inflows




38,079

Immediate cash outflows




-45,000

Net present value




-$6,921

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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 equipmentโ€™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

A machine costs \(700,000 and is expected to yield an after-tax net income of \)52,000 each year. Management predicts this machine has a 10-year service life and a $100,000 salvage value, and it uses straight-line depreciation. Compute this machineโ€™s accounting rate of return.

A company is investing in a solar panel system to reduce its electricity costs. The system requires a cash payment of \(125,374.60 today. The system is expected to generate net cash flows of \)13,000 per year for the next 35 years. The investment has zero salvage value. The company requires an 8% return on its investments. Compute the net present value of this investment.

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 projectโ€™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.

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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