Please show calculations/equations used to solve.

Problem 5-22: Arnot International’s bonds have a current market price of $1,200. The bonds have an 11% annual coupon payment, a $1,000 face value, and 10 years left until maturity. The bonds may be called in 5 years at 109% of face value (call price 5 $1,090).

a. What is the yield to maturity?

b. What is the yield to call if they are called in 5 years?

c. Which yield might investors expect to earn on these bonds, and why?

d. The bond’s indenture indicates that the call provision gives the firm the right to call them at the end of each year beginning in Year 5. In Year 5, they may be called at 109% of face value, but in each of the next 4 years the call percentage will decline by 1 percentage point. Thus, in Year 6 they may be called at 108% of face value, in Year 7 they may be called at 107% of face value, and so on. If the yield curve is horizontal and interest rates remain at their current level, when is the latest that investors might expect the firm to call the bonds?

Problem 7-17: What is the required rate of return on a preferred stock with a $50 par value, a stated annual dividend of 7% of par, and a current market price of (a) $30, (b) $40, (c) $50, and (d) $70? (Assume the market is in equilibrium with the required return equal to the expected return.)

Mini Case Study

During the last few years, Jana Industries has been too constrained by the high cost of capital to make many capital investments. Recently, though, capital costs have been declining, and the company has decided to look seriously at a major expansion program proposed by the marketing department. Assume that you are an assistant to Leigh Jones, the financial vice president. Your first task is to estimate Jana’s cost of capital. Jones has provided you with the following data, which she believes may be relevant to your task:

* The firm’s tax rate is 25%.

* The current price of Jana’s 12% coupon, semiannual payment, noncallable bonds with 15 years remaining to maturity is $1,153.72. There are 70,000 bonds. Jana does not use short-term interest-bearing debt on a permanent basis. New bonds would be privately placed with no flotation cost.

* The current price of the firm’s 10%, $100 par value, quarterly dividend, perpetual preferred stock is $116.95. There are 200,000 outstanding shares. Jana would incur flotation costs equal to 5% of the proceeds on a new issue.

* Jana’s common stock is currently selling at $50 per share. There are 3 million outstanding common shares. Its last dividend (D0) was $3.12, and dividends are expected to grow at a constant rate of 5.8% in the foreseeable future. Jana’s beta is 1.2, the yield on T-bonds is 5.6%, and the market risk premium is estimated to be 6%. For the own-bond-yield-plus-judgmental-risk-premium approach, the firm uses a 3.2% risk premium.

a. (1) What sources of capital should be included when you estimate Jana’s weighted average cost of capital?

(2) Should the component costs be figured on a before-tax or an after-tax basis?

(3) Should the costs be historical (embedded) costs or new (marginal) costs?

b. What is the market interest rate on Jana’s debt, and what is the component cost of this debt for WACC purposes?

d. (1) What are the two primary ways companies raise common equity?

(2) Why is there a cost associated with reinvested earnings?

(3) Jana doesn’t plan to issue new shares of common stock. Using the CAPM approach, what is Jana’s estimated cost of equity?

f. What is the cost of equity based on the own-bond-yield-plus-judgmental-risk-premium method?

m. Jana is interested in establishing a new division that will focus primarily on developing new Internet-based projects. In trying to determine the cost of capital for this new division, you discover that specialized firms involved in similar projects have, on average, the following characteristics: Their capital structure is 10% debt and 90% common equity; their cost of debt is typically 12%; and they have a beta of 1.7. Given this information, what would your estimate be for the new division’s cost of capital?

n. What are three types of project risk? How can each type of risk be considered when thinking about the new division’s cost of capital?