Finance for Business

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For each of the following, compute the present value:

Solve for the unknown interest rate in each of the following:

Investment X offers to pay you $4,700 per year for eight years, whereas Investment Y offers to pay you $6,700 per year for five years. Which of these cash flow streams has the higher present value if the discount rate is 5 percent? If the discount rate is 15 percent?

You want to buy a new sports coupe for $79,500, and the finance office at the dealership has quoted you an APR of 5.8 percent for a 60-month loan to buy the car. What will your monthly payments be? What is the effective annual rate on this loan?

Even though most corporate bonds in the United States make coupon payments semiannually, bonds issued elsewhere often have annual coupon payments. Suppose a German company issues a bond with a par value of €1,000, 23 years to maturity, and a coupon rate of 5.8 percent paid annually. If the yield to maturity is 4.7 percent, what is the current price of the bond?

Union Local School District has a bond outstanding with a coupon rate of 3.7 percent paid semiannually and 16 years to maturity. The yield to maturity on this bond is 3.9 percent, and the bond has a par value of $5,000. What is the price of the bond?

The Jackson–Timberlake Wardrobe Co. just paid a dividend of $1.95 per share on its stock. The dividends are expected to grow at a constant rate of 4 percent per year indefinitely. If investors require a return of 10.5 percent on The Jackson–Timberlake Wardrobe Co. stock, what is the current price? What will the price be in three years? In 15 years?

Suppose you know that a company’s stock currently sells for $63 per share and the required return on the stock is 10.5 percent. You also know that the total return on the stock is evenly divided between a capital gains yield and a dividend yield. If it’s the company’s policy to always maintain a constant growth rate in its dividends, what is the current dividend per share?

Finance for Business

 Complete the following Questions and Problems from each chapter as indicated.

Show all work and analysis. 

Prepare in Microsoft® Excel® or Word. 

 

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?

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?

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?

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?

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?

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.

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