Solve the following problems:
i. Renfro Rentals has issued bonds that have a 10% coupon rate, payable semiannually. The bonds mature in 8 years, have a face value of $1,000, and a yield to maturity of 8.5%. What is the price of the bonds?
ii. Suppose Hillard Manufacturing sold an issue of bonds with a 10-year maturity, a $1,000 par value, a 10% coupon rate, and semiannual interest payments.
a. Two years after the bonds were issued, the going rate of interest on bonds such as these fell to 6%. At what price would the bonds sell?
b. Suppose that 2 years after the initial offering, the going interest rate had risen to 12%. At what price would the bonds sell?
c. Suppose that 2 years after the issue date (as in part a) interest rates fell to 6%. Suppose further that the interest rate remained at 6% for the next 8 years. What would happen to the price of the bonds over time?
iii. Fred Tibbits has made a detailed study of the denim clothing industry. He's particularly interested in a company called Denhart Fashions that makes stylish denim apparel for children and teenagers. Fred has done a forecast of Denhart's earnings and looked at its dividend payment record. He's come to the conclusion that the firm will pay a dividend of $5.00 for the next two years followed by a year at $6.50. Fred's investment plan is to buy Denhart now, hold it for three years and then sell. He thinks the price will be about $75 when he sells. What is the most Fred should be willing to pay for a share of Denhart if he can earn 10% on investments of similar risk?
iiii. Blackstone Corporation's $7 preferred was issued five years ago. The risk-appropriate interest rate for the issue is currently 11%. What is this preferred stock selling for today?
v. Fox Woodworking Inc. issued preferred shares at a face value of $50 to yield 9% 10 years ago. The shares are currently selling at $60. What return are they earning for investors who buy them today?