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Park Co. is considering an investment that requires immediate payment of \(27,000 and provides expected cash inflows of \)9,000 annually for four years. If Park Co. requires a 10% return on its investments, what is the net present value of this investment? (Round your calculations to the nearest dollar.)

Short Answer

Expert verified

The net present value of the project is $1,529.

Step by step solution

01

Step-by-Step SolutionStep 1: Computation of the net present value of cash inflows

PresentValue=Annualcashflow×PVIFA=$9,000×3.1699=$28,529

02

Computation of net present value

NetPresentValue=Presentvalueofcashinflows-InitialInvestment=$28,529-$27,000=$1,529

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Most popular questions from this chapter

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 machine’s accounting rate of return.

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

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?

Aikman Company has an opportunity to invest in one of two projects. Project A requires a \(240,000 investment for new machinery with a four-year life and no salvage value. Project B also requires a \)240,000 investment for new machinery with a three-year life and no salvage value. The two projects yield the following predicted annual results. The company uses straight-line depreciation, and cash flows occur evenly throughout each year. Company

Project A Project B

Sales . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . \(250,000 \)200,000

Expenses Direct materials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35,000 25,000

Direct labor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50,000 30,000

Overhead including depreciation . . . . . . . . . . . . . . . . . . . . . . . . . . . . 90,000 90,000

Selling and administrative expenses . . . . . . . . . . . . . . . . . . . . . . . . . 18,000 18,000

Total expenses . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 193,000 163,000

Pretax income . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57,000 37,000

Income taxes (30%) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17,100 11,100

Net income . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . \( 39,900 \) 25,900

Required

1. Compute each project’s annual expected net cash flows. (Round net cash flows to the nearest dollar.)

2. Determine each project’s payback period. (Round the payback period to two decimals.)

3. Compute each project’s accounting rate of return. (Round the percentage return to one decimal.)

4. Determine each project’s net present value using 8% as the discount rate. For part 4 only, assume that cash flows occur at each year-end. (Round net present values to the nearest dollar.)

Analysis Component

5. Identify the project you would recommend to management and explain your choice.

Archer Foods has a freezer that is in need of repair and is considering whether to replace the old freezer with a new freezer or have the old freezer extensively repaired. Information about the two alternatives follows. Management requires a 10% rate of return on its investments.

Alternative 1: Keep the old freezer and have it repaired. If the old freezer is repaired, it will be kept for another eight years and then sold for its salvage value.

Cost of old freezer . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . \(75,000

Cost of repair . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50,000

Annual expected revenues generated . . . . . . . . . . . . . . . 63,000

Annual cash operating costs after repair . . . . . . . . . . . . . 55,000

Salvage value of old freezer in 8 years . . . . . . . . . . . . . . 3,000

Alternative 2: Sell the old freezer and buy a new one. The new freezer is larger than the old one and will allow the company to expand its product offerings, thereby generating more revenues. Also, it is more energy efficient and will yield substantial operating cost savings.

Cost of new freezer............................. \)150,000

Salvage value of old freezer now.................. 5,000

Annual expected revenues generated . . . . . . . . . . . . . . 68,000

Annual cash operating costs . . . . . . . . . . . . . . . . . . . . . . 30,000

Salvage value of new freezer in 8 years . . . . . . . . . . . . . 8,000

Required

1. Determine the net present value of alternative 1.

2. Determine the net present value of alternative 2.

3. Which alternative do you recommend that management select? Explain.

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