Problem 1: Bond concepts
A 10-year bond has a 10 percent annual coupon and a yield to maturity of 12 percent. The bond can be called in 5 years at a call price of $1,050 and the bond's face value is $1,000. Which of the following statements is most correct?
a. The bond's current yield is greater than 10 percent.
b. The bond's yield to call is less than 12 percent.
c. The bond is selling at a price below par.
d. Both answers a and c are correct.
e. None of the above answers is correct.
Problem 2: Bond value - semiannual payment
You intend to purchase a 10-year, $1,000 face value bond that pays interest of $60 every 6 months. If your nominal annual required rate of return is 10 percent with semiannual compounding, how much should you be willing to pay for this bond?
Problem 3: Bond value - semiannual payment
Due to a number of lawsuits related to toxic wastes, a major chemical manufacturer has recently experienced a market reevaluation. The firm has a bond issue outstanding with 15 years to maturity and a coupon rate of 8 percent, with interest paid semiannually. The required nominal rate on this debt has now risen to 16 percent. What is the current value of this bond?
Problem 4: YTM and YTC
A corporate bond matures in 14 years. The bond has an 8 percent semiannual coupon and a par value of $1,000. The bond is callable in five years at a call price of $1,050. The price of the bond today is $1,075. What are the bond's yield to maturity and yield to call?
Problem 5: Yield to call
A 12-year bond with a 10 percent semiannual coupon and a $1,000 par value has a nominal yield to maturity of 9 percent. The bond can be called in five years at a call price of $1,050. What is the bond's nominal yield to call?