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# Corporate Finance Problem Set

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(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?
(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%?
(Required return for a preferred stock) James River \$3.38 preferred is selling for \$45.25. The preferred dividend is nongrowing. What is the required return on James River preferred stock?
(Stock valuation) Suppose Toyota has nonmaturing (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?
"(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

"(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." (a-b)

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

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