Question

Suppose the real risk-free rate is 3.50%,the average future inflation rate is 2.50%, a maturity premium of 0.20% per year to maturity applies, i.e., MRP = 0.20%(t), where t is the years to maturity. Suppose also that a liquidity premium of 0.50% and a default risk premium of 0.80% applies to A-rated corporate bonds.
Required:
What is the difference in the yields on a 5-year A-rated corporate bond and on a 10-year Treasury bond?

Answer 1

Answer:

the 5 year A-rated corporate bond yields 0.3% more than the 10-year Treasury bond

Explanation:

the yield of a 10 year treasury bond = real risk free rate + average future inflation rate + (maturity premium x number of years) = 3.5% + 2.5% + (20% x 10 years) = 8%

the yield of a 5 year A-rated corporate bond = real risk free rate + average future inflation rate + liquidity premium + default risk premium + (maturity premium x number of years) = 3.5% + 2.5% + 0.5% + 0.8% + (20% x 5 years) = 8.3%

difference in yields = 8.3% - 8% = 0.3%