You are required to show the following 3 steps for each problem (sample questions and solutions are provided for guidance): (i) Describe and interpret the assumptions related to the problem. (ii) Apply the appropriate mathematical model to solve the problem. (iii) Calculate the correct solution to the problem.
1. ABC Corporation issues a bond which has a coupon rate of 10.20%, a yield to maturity of 10.55%, a face value of $1,000, and a market price of $850. What is the annual interest payment?
2. A shipping company sold an issue of 12-year $1,000 par bonds to build new ships. The bonds pay 4.85% interest, semiannually. Today's required rate of return is 9.7%. How much should these bonds sell for today? Round off to the nearest $1.
3. Assume a company has an issue of 18-year $1,000 par value bonds that pay 7% interest, annually. Further assume that today's required rate of return on these bonds is 5%. How much would these bonds sell for today? Round off to the nearest $1.
4. ABC company issued bonds on January 1, 2006. The bonds had a coupon rate of 5.5%, with interest paid semiannually. The face value of the bonds is $1,000 and the bonds mature on January 1, 2021. What is the yield to maturity for these bonds on January 1, 2012 if the market price of the bond on that date is $950?
5. A $1,000 par value 14-year bond with a 10 percent coupon rate recently sold for $965. What is the yield to maturity?
6. Consider a 10 year bond with face value $1,000, pays 6% coupon semi-annually and has a yield-to-maturity of 7%. How much would the approximate percentage change in the price of bond if interest rate in the economy decreases by 0.80% per year?