1. An analyst evaluating securities has obtained the following information. The real rate of interest is 3% and is expected to remain constant for the next 5 years. Inflation is expected to be 2.5% next year, 3.5% the following year, 4.5% the third year, and 5.5% every year thereafter. The maturity risk premium is estimated to be 0.1 × (t – 1)%, where t = number of years to maturity. The liquidity premium on relevant 5-year securities is 0.5% and the default risk premium on relevant 5-year securities is 1%.
a. What is the yield on a 1-year T-bill? Round your intermediate calculations and final answer to two decimal places. %
b. What is the yield on a 5-year T-bond? Round your intermediate calculations and final answer to two decimal places. %
c. What is the yield on a 5-year corporate bond? Round your intermediate calculations and final answer to two decimal places. %
2. Today, interest rates on 1-year T-bonds yield 1.3%, interest rates on 2-year T-bonds yield 2%, and interest rates on 3-year T-bonds yield 3.4%.
a. If the pure expectations theory is correct, what is the yield on 1-year T-bonds one year from now? Be sure to use a geometric average in your calculations. Round your answer to four decimal places. Do not round intermediate calculations. %
b. If the pure expectations theory is correct, what is the yield on 2-year T-bonds one year from now? Be sure to use a geometric average in your calculations. Round your answer to four decimal places. Do not round intermediate calculations. %
c. If the pure expectations theory is correct, what is the yield on 1-year T-bonds two years from now? Be sure to use a geometric average in your calculations. Round your answer to four decimal places. Do not round intermediate calculations. %