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You buy a bond for $955 that has a coupon rate of 6.00% and a maturity of 10-years. A year later, the bond price is $1,080. (Assume a face value of $1,000 and annual coupon payments.) a. What is the new yield to maturity on the bond? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) b. What is your rate of return over the year? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.)

Intermediate Financial Management (MindTap Course List)

Intermediate Financial Management (MindTap Course List)

13th Edition

ISBN:9781337395083

Author:Eugene F. Brigham, Phillip R. Daves

Publisher:Eugene F. Brigham, Phillip R. Daves

Chapter4: Bond Valuation

Section: Chapter Questions

Problem 5MC: What would be the value of the bond described in Part d if, just after it had been issued, the...

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You buy a bond for $955 that has a coupon rate of 6.00% and a maturity of 10-years. A year later, the bond price is $1,080. (Assume a face value of $1,000 and annual coupon payments.)

a. What is the new yield to maturity on the bond? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.)

b. What is your rate of return over the year? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.)

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Suppose a 10-year, 10% semiannual coupon bond with a par value of 1,000 is currently selling for 1,135.90, producing a nominal yield to maturity of 8%. However, the bond can be called after 5 years for a price of 1,050. (1) What is the bonds nominal yield to call (YTC)? (2) If you bought this bond, do you think you would be more likely to earn the YTM or the YTC? Why?
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.)
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?

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