# Stock and Bond Valuation

Problem is attached.

Review problem-time value of money applications. Use the appropriate factors from Table 6-4 or Table 6-5 to answer the following questions:

Required:

a) Wright Co.'s common stock is expected to have a dividend of $5 per share for each of the next 10 years, and it is estimated that the market value per share will be $124 at the end of 10 years. If an investor requires a return on investment of 12%, what is the maximum price the investor would be willing to pay for a share of Wright Co. common stock today?

b) Antonio bought a bond with a face amount of $1,000, a stated interest rate of 8%, and a maturity date 10 years in the future for $978. The bond pays interest on an annual basis. Five years have gone by and the market interest rate is now 10%. What is the market value of the bond today?

c) Linda purchased a U.S. Series EE savings bond for $100, and eight years later received $159.38 when the bond was redeemed. What average annual return on investment did Linda earn over the eight years?

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#### Solution Preview

a) Wright Co.'s common stock is expected to have a dividend of $5 per share for each of the next 10 years, and it is estimated that the market value per share will be $124 at the end of 10 years. If an investor requires a return on investment of 12%, what is the maximum price the investor would be willing to pay for a share of Wright Co. common stock today?

The maximum price will be the present value of the dividends and the price at the end of 10 years. Dividends are an annuity and we use table 6-5 to get the PV factor. For 10 years and 12%, the PV ...

#### Solution Summary

The solution explains how to calculate the price of a stock and a bond

Finance: Bond Valuation, Dividend Discount Model, Return on Preferred Stock, Valuation, Risk

A 1: (Bond valuation) A $1,000 face value bond has a remaining maturity of 10 years and a required return of 9%. The bond's coupon rate is 7.4%. What is the fair value of this bond?

A 2: (Dividend discount model) Assume RHM is expected to pay a total cash dividend of $5.60 next year and its dividends are expected to grow at a rate of 6% per year forever. Assuming annual dividend payments, what is the current market value of a share of RHM stock if the required return on RHM common stock is 10%?

A 3: (Required return for a preferred stock) James River $3.38 preferred is selling for $45.25. The preferred dividend is non growing. What is the required return on James River preferred stock?

A 4: (Stock valuation) Suppose Toyota has non maturing (perpetual) preferred stock outstanding that pays a $1.00 quarterly dividend and has a required return of 12% APR (3% per quarter). What is the stock worth?

B 16: (Interest-rate risk) Philadelphia Electric has many bonds trading on the New York Stock Exchange. Suppose PhilEl's bonds have identical coupon rates of 9.125% but that one issue matures in 1 year, one in 7 years, and the third in 15 years. Assume that a coupon payment was made yesterday.

1. If the yield to maturity for all three bonds is 8%, what is the fair price of each bond?

2. Suppose that the yield to maturity for all of these bonds changed instantaneously to 7%. What is the fair price of each bond now?

3. Suppose that the yield to maturity for all of these bonds changed instantaneously again, this time to 9%. Now what is the fair price of each bond?

4. Based on the fair prices at the various yields to maturity, is interest-rate risk the same, higher, or lower for longer-versus shorter-maturity bonds?

B 18: (Default risk) You buy a very risky bond that promises a 9.5% coupon and return of the $1,000 principal in 10 years. You pay only $500 for the bond.

1. You receive the coupon payments for three years and the bond defaults. After liquidating the firm, the bondholders receive a distribution of $150 per bond at the end of 3.5 years. What is the realized return on your investment?

2. The firm does far better than expected and bondholders receive all of the promised interest and principal payments. What is the realized return on your investment?

B 20: (Constant growth model) Medtrans is a profitable firm that is not paying a dividend on its common stock. James Weber, an analyst for A. G. Edwards, believes that Medtrans will begin paying a $1.00 per share dividend in two years and that the dividend will increase 6% annually thereafter. Bret Kimes, one of James' colleagues at the same firm, is less optimistic. Bret thinks that Medtrans will begin paying a dividend in four years, that the dividend will be $1.00, and that it will grow at 4% annually. James and Bret agree that the required return for Medtrans is 13%.

1. What value would James estimate for this firm?

2. What value would Bret assign to the Medtrans stock?

Problem: (Beta and required return) The risk less return is currently 6%, and Chicago Gear has estimated the contingent returns given here.

1. Calculate the expected returns on the stock market and on Chicago Gear stock.

2. What is Chicago Gear's beta?

3. What is Chicago Gear's required return according to the CAPM?

Realized Return

State of the Market Probability that State Occurs Stock Market Chicago Gear

Stagnant 0.20 (10%) (15%)

Slow growth 0.35 10 15

Average growth 0.30 15 25

Rapid growth 0.15 25 35