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Beyer Company is considering the purchase of an asset for \(180,000. It is expected to produce the following net cash flows. The cash flows occur evenly within each year. Compute the payback period for this investment (round years to two decimals).

Year 1 Year 2 Year 3 Year 4 Year 5 Total

Net cash flows . . . . . . . . . . . \)60,000 \(40,000 \)70,000 \(125,000 \)35,000 $330,000

Short Answer

Expert verified

The payback period of the asset is 3.08 years

Step by step solution

01

Step-by-Step SolutionStep 1 Preparation of table

Year

Cash Inflow (outflow)

Cumulative net cash inflow (outflow)

0

-180,000

-$180,000

1

60,000

-120,000

2

40,000

-80,000

3

70,000

-10,000

4

125,000

115,000

5

35,000

$150,000

150,000

02

Computation of payback period

The payback period comes between 3 and 4

Remainingperiod=NumeratorforpartialyearDenominatorforpartialyear=$10,000$125,000=0.08years

The payback period is 3.08 years.

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Most popular questions from this chapter

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.

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

Phoenix Company can invest in each of three cheese-making projects: C1, C2, and C3. Each project requires an initial investment of \(228,000 and would yield the following annual cash flows.

C1 C2 C3

Year 1 . . . . . . . . . . . . . . . . . . . . . . . . . \) 12,000 \( 96,000 \)180,000

Year 2 . . . . . . . . . . . . . . . . . . . . . . . . . 108,000 96,000 60,000

Year 3 . . . . . . . . . . . . . . . . . . . . . . . . . 168,000 96,000 48,000

Totals . . . . . . . . . . . . . . . . . . . . . . . \(288,000 \)288,000 $288,000

1. Assuming that the company requires a 12% return from its investments, use net present value to determine which projects, if any, should be acquired.

2. Using the answer from part 1, explain whether the internal rate of return is higher or lower than 12% for Project C2.

Lenitnes Company is considering an investment in technology to improve its operations. The investment will require an initial outlay of \(250,000 and will yield the following expected cash flows. Management requires investments to have a payback period of three years, and it requires a 10% return on its investments.

Period Cash Flow

1 . . . . . . . . . . . \)125,000

2 . . . . . . . . . . . 94,000

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

4 . . . . . . . . . . . 52,000

5 . . . . . . . . . . . 47,000

Required

1. Determine the payback period for this investment. (Round the answer to one decimal.)

2. Determine the break-even time for this investment. (Round the answer to one decimal.)

3. Determine the net present value for this investment.

Analysis Component

4. Should management invest in this project? Explain.

5. Compare your answers for parts 1 through 4 with those for Problem 24-5A. What are the causes of the differences in results and your conclusions?

This chapter explained two methods to evaluate investments using recovery time, the payback period and break-even time (BET). Refer to QS 24-17 and (1) compute the recovery time for both the payback period and break-even time, (2) discuss the advantage(s) of break-even time over the payback period, and (3) list two conditions under which payback period and break-even time are similar.

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