Question
1. The real risk-free rate is 3.3%. Inflation is expected to be 2.7% this year, 4.8% next year, and 2.95% thereafter. The maturity risk premium
1. The real risk-free rate is 3.3%. Inflation is expected to be 2.7% this year, 4.8% next year, and 2.95% thereafter. The maturity risk premium is estimated to be 0.05 (t - 1)%, where t = number of years to maturity. What is the yield on a 7-year Treasury note? Do not round your intermediate calculations. Round your answer to two decimal places.
2. Due to a recession, expected inflation this year is only 2%. However, the inflation rate in Year 2 and thereafter is expected to be constant at some level above 2%. Assume that the expectations theory holds and the real risk-free rate (r*) is 3.5%. If the yield on 3-year Treasury bonds equals the 1-year yield plus 3.5%, what inflation rate is expected after Year 1? Round your answer to two decimal places.
3. Bond X is noncallable and has 20 years to maturity, a 8% annual coupon, and a $1,000 par value. Your required return on Bond X is 8%; if you buy it, you plan to hold it for 5 years. You (and the market) have expectations that in 5 years, the yield to maturity on a 15-year bond with similar risk will be 9%. How much should you be willing to pay for Bond X today? (Hint: You will need to know how much the bond will be worth at the end of 5 years.) Do not round intermediate calculations. Round your answer to the nearest cent.
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