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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.

Short Answer

Expert verified

The break-even point for the project is 3.1 years.

Step by step solution

01

Step-by-Step SolutionStep 1: Computation of payback period and break-even time

Year

Cash Inflow (outflow)

Cumulative net cash inflow (outflow)

0

-$90,000

-$90,000

1

35,000

-55,000

2

35,000

-20,000

3

35,000

15,000

4

35,000

50,000

5

35,000

$85,000

$85,000

Payback occurs between years: 2 and 3

Remainingperiod=NumeratorforpartialyearDenominatorforpartialyear=$20,000$35,000=0.6years

The payback period will be 2.6 years.

Year

Cash inflow (outflow)

Table factor

Present value of cash flows

Cumulative present value of cash flows

0

-$90,000

1.0000

-$90,000

-$90,000

1

35,000

0.9091

31,818

-58,182

2

35,000

0.8264

28,924

-29,258

3

35,000

0.7513

26,295

-2,963

4

35,000

0.6830

23,905

20,942

5

35,000

0.6209

$21,731

$42,673

$85,000

Break-even time occurs between year: 3 and the year 4

Remainingperiod=NumeratorforpartialyearDenominatorforpartialyear=$2,963$23,905=0.1years

Break-even time = 3.1 years

02

Advantages of break-even point over the payback period

The major advantage of the break-even time over the payback period is that it overcomes the limitation of not using the time value of money while calculating the payback period. It is a time-based measure used to evaluate a capital investment’s acceptability.

03

Conditions under which payback period and break-even time are similar.

Two conditions are as follows:

1. Both the methods are used to measure the feasibility of the specific project

2. Both the methods are used to get to the point where the project will generate positive cash flow.

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Most popular questions from this chapter

Project A requires a \(280,000 initial investment for new machinery with a five-year life and a salvage value of \)30,000. The company uses straight-line depreciation. Project A is expected to yield annual net income of $20,000 per year for the next five years. Compute Project A’s accounting rate of return. Express your answer as a percentage, rounded to two decimal places.

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. Compute the internal rate of return on this investment.

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.)

Cortino Company is planning to add a new product to its line. To manufacture this product, the company needs to buy a new machine at a \(300,000 cost with an expected four-year life and a \)20,000 salvage value. All sales are for cash and all costs are out-of-pocket, except for depreciation on the new machine. Additional information includes the following.

Expected annual sales of new product . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . $1,150,000

Expected annual costs of new product

Direct materials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 300,000

Direct labor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 420,000

Overhead (excluding straight-line depreciation on new machine) . . . . . . . . . . . . . . 210,000

Selling and administrative expenses . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 100,000

Income taxes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30%

Required

1. Compute straight-line depreciation for each year of this new machine’s life. (Round depreciation amounts to the nearest dollar.)

2. Determine expected net income and net cash flow for each year of this machine’s life. (Round answers to the nearest dollar.)

3. Compute this machine’s payback period, assuming that cash flows occur evenly throughout each year. (Round the payback period to two decimals.)

4. Compute this machine’s accounting rate of return, assuming that income is earned evenly throughout each year. (Round the percentage return to two decimals.)

5. Compute the net present value for this machine using a discount rate of 7% and assuming that cash flows occur at each year-end. (Hint: Salvage value is a cash inflow at the end of the asset’s life.)

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.)

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