Calculate the net present value and internal rate of return


Assignment:

Students should understand and be able to calculate the net present value and internal rate of return for corporate cash flows, determine project cash flows and a company's sales, variable costs, fixed costs, and its breakeven point.

1. Calculating IRR [LO5] A firm evaluates all of its projects by applying the IRR rule. If the required return is 14 percent, should the firm accept the following project?

 Year               Cash Flow

0                      -$26,000

1                       11,000

2                       14,000

3                      10,000

2. Calculating NPV [LO1] For the cash flows in the previous problem, suppose the firm uses the NPV decision rule. At a required return of 11 percent, should the firm accept this project? What if the required return is 24 percent?

3. Calculating Projected Net Income [LO1] A proposed new investment has projected sales of $635,000. Variable costs are 44 percent of sales, and fixed costs are $193,000; depreciation is $54,000. Prepare a pro forma income statement assuming a tax rate of 35 percent. What is the projected net income?

4. Project Evaluation [LO1] Dog Up! Franks is looking at a new sausage system with an installed cost of $540,000. This cost will be depreciated straight-line to zero over the project's five-year life, at the end of which the sausage system can be scrapped for $80,000. The sausage system will save the firm $170,000 per year in pretax operating costs, and the system requires an initial investment in net working capital of $29,000. If the tax rate is 34 percent and the discount rate is 10 percent, what is the NPV of this project?

5. Calculating Costs and Break-Even [LO3] Night Shades, Inc. (NSI), manufactures biotech sunglasses. The variable materials cost is $9.64 per unit, and the variable labor cost is $8.63 per unit. a. What is the variable cost per unit? b. Suppose NSI incurs fixed costs of $915,000 during a year in which total production is 215,000 units. What are the total costs for the year? c. If the selling price is $39.99 per unit, does NSI break even on a cash basis? If depreciation is $465,000 per year, what is the accounting break-even point?

6. Calculating Break-Even [LO3] In each of the following cases, calculate the accounting break-even and the cash break-even points. Ignore any tax effects in calculating the cash break-even.

Accounting                                      Unit Variable

Break-Even Unit Price             Cost                 Fixed Costs        Depreciation

97,432

$39

$30

$ 820.000

1

185.000

?

27

2,745,000

$1,150,000

19,530

92

?

237,000

138,900

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Accounting Basics: Calculate the net present value and internal rate of return
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