Sam Strother and Shawna Tibbs are vice presidents of Mutual of Seattle Group Health Cooperative and co-directors of the organization's pension fund management division. The unions that represent the GHC hospital staff have requested an investment seminar so that they better understand the decisions being made on behalf of their members. Strother and Tibbs, who will make the actual presentation, have asked you to help them by answering the following questions.
a. What is the value of a ten-year, $1,000 par value bond with a 10% annual coupon if its required rate of return is 10%?
b. What would be the value of the bond described in question a. if, just after it had been issued, the expected inflation rate rose by 3% points, causing investors to require a 13% return? would we now have a discount or a premium bond?
c. What would be the value of the bond described in question a. if, just after it had been issued, the expected inflation rate fell by 3%, causing investors to require a 7% return? Would we now have a discount or premium bond?
d. What would happen to the value of the ten-year bond over time if the required rate of return remained at 13%, remained at 7%, or remained at 10%? Graph your results.
e. What is the yield to maturity on a ten year, 9% annual coupon, $1,000 par value bond that sells for $887.00?
f. What are the total return, the current yield, and the capital gains yield for the bond in question e.? ( Assume the bond is held to maturity and the company does not default on the bond)