Suppose you purchase a 30-year, zero-coupon bond with a yield to maturity of 6.4%. You hold the bond for five years before selling it.a. If the bond's yield to maturity is 6.4% when you sell it, what is the annualized rate of return of your investment?b. If the bond's yield to maturity is 7.4% when you sell it, what is the annualized rate of return of your investment?c. If the bond's yield to maturity is 5.4% when you sell it, what is the annualized rate of return of your investment?d. Even if a bond has no chance of default, is your investment risk free if you plan to sell it before it matures? Explain.

Face value = 1000 (Assumed) Data given:: N=30 years YTM = 6.4% Selling bond after holding 5 years…

Answered: Suppose you purchase a 30-year,…

EBK CONTEMPORARY FINANCIAL MANAGEMENT

14th Edition

ISBN:9781337514835

Author:MOYER

Publisher:MOYER

Chapter8: Analysis Of Risk And Return

Section: Chapter Questions

Problem 9P

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Bond Yields and Rates of Return A 10-year, 12% semiannual coupon bond with a par value of 1,000 may be called in 4 years at a call price of 1,060. The bond sells for 1,100. (Assume that the bond has just been issued.) a. What is the bonds yield to maturity? b. What is the bonds current yield? c. What is the bonds capital gain or loss yield? d. What is the bonds yield to call?
What would be the value of the bond described in Part d if, just after it had been issued, the expected inflation rate rose by 3 percentage points, causing investors to require a 13% return? Would we now have a discount or a premium bond? What would happen to the bond’s value if inflation fell and rd declined to 7%? Would we now have a premium or a discount bond? What would happen to the value of the 10-year bond over time if the required rate of return remained at 13%? If it remained at 7%? (Hint: With a financial calculator, enter PMT, I/YR, FV, and N, and then change N to see what happens to the PV as the bond approaches maturity.)
Bond Value as Maturity Approaches An investor has two bonds in his portfolio. Each bond matures in 4 years, has a face value of 1,000, and has a yield to maturity equal to 9.6%. One bond, Bond C, pays an annual coupon of 10%; the other bond, Bond Z, is a zero coupon bond. Assuming that the yield to maturity of each bond remains at 9.6% over the next 4 years, what will be the price of each of the bonds at the following time periods? Fill in the following table:
Yield to Maturity and Yield to Call 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 = $1,090). What is the yield to maturity? What is the yield to call if they are called in 5 years? Which yield might investors expect to earn on these bonds, and why? 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?
What makes for a good investment? Use the approximate yield formula or a financial calculator to rank the following investments according to their expected returns. Buy a stock for $30 a share, hold it for three years, and then sell it for $60 a share (the stock pays annual dividends of $2 a share). Buy a security for $40, hold it for two years, and then sell it for $100 (current income on this security is zero). Buy a one-year, 5 percent note for $1,000 (assume that the note has a $1,000 par value and that it will be held to maturity).

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