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Siemens AG invests €80 million to build a manufacturing plant to build wind turbines. The company predicts net cash flows of €16 million per year for the next eight years. Assume the company requires an 8% rate of return from its investments.

1. What is the payback period of this investment?

2. What is the net present value of this investment?

Short Answer

Expert verified

The payback period is computed as 5 years and the net present value is computed as 11,945,600.

Step by step solution

01

Step-by-Step SolutionStep 1: Computation of payback period

PaybackPeriod=InitialInvestmentAnnualcashinflow=80,000,00016,000,000=5years

02

Computation of net present value 

NetPresentvalue=Presentvalueofcashinflow-InitialInvestment=16,000,000×5.7466-80,000,000=11,945,600

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Most popular questions from this chapter

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 investment’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

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.

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.)

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 equipment’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

Yokam Company is considering two alternative projects. Project 1 requires an initial investment of \(400,000 and has a present value of cash flows of \)1,100,000. Project 2 requires an initial investment of \(4 million and has a present value of cash flows of \)6 million. Compute the profitability index for each project. Based on the profitability index, which project should the company prefer? Explain.

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