1. Assume the following information about a Treasury zero-coupon yield curve today: Maturity (years) Zero rates (%) Maturity (years) Zero rates (%) 2.30 3.50 2.70 3.80 2.90 4.00 3.10 4.20 3.20 4.30 1 2 3 4 6 7 8 9 10 5 All rates above are with continuous compounding. a. Calculate the corresponding rates under semi-annual compounding. b. Calculate the price of a 4-year Treasury bond with face value $1,000 that pays coupon annually at the coupon rate of 4%. c. If the government wants to issue a 5-year bond that pays coupon annually and priced at par (face value $1,000), what should be the amount of each coupon payment?

b. Suppose you are considering two possible investment opportunities: a 12-year Treasury bond and a 7-year, AA-rated corporate band. The current real risk-free rate is 5%, and inflation is expected to be 2% for the next 2 years, 3% for the following 4 years, and 4% thereafter. The maturity risk premium is estimated by this formula: MRP = 0.03 (t-1) %. The liquidity premium (LP) for the corporate bond is estimated to be 0.2%. You may determine the default risk premium (DRP), given the company's bond rating, from the following table. Remember to subtract the bond's LP from the corporate spread given in the table to arrive at the bond's DRP. Rate 0.83% 1.03 1.35 1.73 Corporate Bond Yield Spread = DRP + LP U.S. Treasury AAA corporate 0.20% AA corporate 0.52 A corporate 0.90 What yield would you predict for each of these two investments? Round your answers to three decimal places, 12-year Treasury yield: 7-year Corporate yield: % %

The yield curve for default-free zero-coupon bonds is currently as follows: Maturity (years) YTM 1 9.8% 2 10.8 3 11.8 Required: a. What are the implied one-year forward rates? (Do not round intermediate calculations. Round your answers to 2 decimal places.) Maturity (years) YTM Forward rate 1 9.8% 2 3 10.8% 11.8% % % b. Assume that the pure expectations hypothesis of the term structure is correct. If market expectations are accurate, what will the pure yield curve (that is, the yields to maturity on one- and two-year zero-coupon bonds) be next year? O There will be a shift upwards in next year's curve. O There will be a shift downwards in next year's curve. O There will be no change in next year's curve. c. What will be the yield to maturity on two-year zeros? (Do not round intermediate calculations. Round your answers to 2 decimal places.) YTM % d. If you purchase a two-year zero-coupon bond now, what is the expected total rate of return over the next year? (Hint: Compute the current…

Q1. Price and Yield. Yield (%) Price at required yield ( coupon rate/ maturity) 6% / 5 6% / 20 3%/5 3% / 20 0% / 5 0% / 20 year year year year year year 3.00 4.00 5.50 5.90 5.99 6.00 6.01 6.10 7.50 8.00 Assume face value is $100. a. Plot the table. b. What is the shape of the price-yield relationship? c. Describe the general relationship you observe between changes in bond prices and changes in yield to maturity.