Question
1. A 15-year bond has an annual coupon rate of 8%. The coupon rate will remain fixed until the bond matures. The bond has a
1. A 15-year bond has an annual coupon rate of 8%. The coupon rate will remain fixed until the bond matures. The bond has a yield to maturity of 6%. Is this bond currently trading at a Discount or a Premium? If market interest rates remain unchanged, the bond's price one year from now will the bond price be lower or higher than it is today? You must provide explanation justifying both answers.
2. Rogoff Co.'s 15-year bonds have an annual coupon rate of 9.5%. Each bond has face value of $1,000 and makes semiannual interest payments. If you require an 11.0% nominal yield to maturity on this investment, what is the maximum price you should be willing to pay for the bond?
3. Haswell Enterprises' bonds have a 10-year maturity, a 6.25% semiannual coupon, and a par value of $1,000. The going interest rate (rd) is 4.75%, based on semiannual compounding. What is the bond's current price?
4. Curtis Corporation's non-callable bonds currently sell for $1,165. They have a 15-year maturity, an annual coupon of $95, and a par value of $1,000. What is their yield to maturity?
5. Meacham Enterprises' bonds currently sell for $1,280 and have a par value of $1,000. They pay a $135 annual coupon and have a 15-year maturity, but they can be called in 5 years at $1,050. What is their yield to call (YTC)?
6. Currently, Bruner Inc.'s bonds sell for $1,250. They pay a $120 annual coupon, have a 15-year maturity, and a $1,000 par value, but they can be called in 5 years at $1,050. Assume that no costs other than the call premium would be incurred to call and refund the bonds, and also assume that the yield curve is horizontal, with rates expected to remain at current levels on into the future. What is the difference between this bond's YTM and its YTC? (Subtract the YTC from the YTM.)
7. Assume that interest rates on 15-year non-callable Treasury and corporate bonds with different ratings are as follows: T-bond = 7.72% A = 9.64% AAA = 8.72% BBB = 10.18% What is the primary explanation in the differences in rates among these issues?
8. 5-year Treasury bonds yield 5.5%. The inflation premium (IP) is 1.9%, and the maturity risk premium (MRP) on 5-year bonds is 0.4%. What is the real risk-free rate, r*?
9. If 10-year T-bonds have a yield of 6.2%, 10-year corporate bonds yield 8.5%, the maturity risk premium on all 10-year bonds is 1.3%, and corporate bonds have a 0.4% liquidity premium versus a zero liquidity premium for T-bonds, what is the default risk premium on the corporate bond?
10. McCurdy Co.'s Class Q bonds have a 12-year maturity, $1,000 par value, and a 5.75% coupon paid semiannually (2.875% each 6 months), and those bonds sell at their par value. McCurdy's Class P bonds have the same risk, maturity, and par value, but the P bonds pay a 5.75% annual coupon. Neither bond is callable. At what price should the annual payment bond sell?
11. One year ago Lerner and Luckmann Co. issued 15-year, non-callable, 7.5% annual coupon bonds at their par value of $1,000. Today, the market interest rate on these bonds is 5.5%. What is the current price of the bonds, given that they now have 14 years to maturity?
12. CMS Corporation's balance sheet as of today is as follows: Long-term debt (bonds, at par) $10,000,000 Preferred stock 2,000,000 Common stock ($10 par) 10,000,000 Retained earnings 4,000,000 Total debt and equity $26,000,000 The bonds have a 4.0% coupon rate, payable semiannually, and a par value of $1,000. They mature exactly 10 years from today. The yield to maturity is 12%, so the bonds now sell below par. What is the current market value of the firm's debt? End of assignment questions (See answers to numerical problems below)
Answers to numerical problems: Question 2: $891.00 Question 3: $1,118.31 Question 4: 7.62% Question 5: 7.45% Question 6: 2.11% Question 8: 3.20% Question 9: 1.90% Question 10: $993.01 Question 11: $1,191.79 Question 12: $5,412,032
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