19 Jul Finance H.W (7 questions)
The real risk-free rate of interest is 2%. Inflation is expected to be 2% this year and 4% during the next 2 years. Assume that the maturity risk premium is zero.
What is the yield on 2-year Treasury securities? Round your answer to two decimal places. %
What is the yield on 3-year Treasury securities? Round your answer to two decimal places. %
Default Risk Premium
A Treasury bond that matures in 10 years has a yield of 5%. A 10-year corporate bond has a yield of 9%. Assume that the liquidity premium on the corporate bond is 0.7%. What is the default risk premium on the corporate bond? Round your answer to two decimal places.
%
Maturity Risk Premium
The real risk-free rate is 2%, and inflation is expected to be 4% for the next 2 years. A 2-year Treasury security yields 7.3%. What is the maturity risk premium for the 2-year security?
%
Determinants of Interest Rates
The real risk-free rate is 2%. Inflation is expected to be 2% this year, 4% next year, and then 4% thereafter. The maturity risk premium is estimated to be 0.0003 x (t – 1), where t = number of years to maturity. What is the nominal interest rate on a 7-year Treasury security? Round your answer to two decimal places.
%
Maturity Risk Premiums
Assume that the real risk-free rate, r*, is 2% and that inflation is expected to be 7% in Year 1, 6% in Year 2, and 3% thereafter. Assume also that all Treasury securities are highly liquid and free of default risk. If 2-year and 5-year Treasury notes both yield 10%, what is the difference in the maturity risk premiums (MRPs) on the two notes; that is, what is MRP5 minus MRP2? Round your answer to two decimal places.
%
Determinants of Interest Rates
Suppose you and most other investors expect the inflation rate to be 6% next year, to fall to 4% during the following year, and then to remain at a rate of 3% thereafter. Assume that the real risk-free rate, r*, will remain at 2% and that maturity risk premiums on Treasury securities rise from zero on very short-term securities (those that mature in a few days) to a level of 0.2 percentage points for 1-year securities. Furthermore, maturity risk premiums increase 0.2 percentage points for each year to maturity, up to a limit of 1.0 percentage point on 5-year or longer-term T-notes and T-bonds.
a. Calculate the interest rate on 1-year Treasury securities. Round your answer to two decimal places. % Calculate the interest rate on 2-year Treasury securities. Round your answer to two decimal places. % Calculate the interest rate on 3-year Treasury securities. Round your answer to two decimal places. % Calculate the interest rate on 4-year Treasury securities. Round your answer to two decimal places. % Calculate the interest rate on 5-year Treasury securities. Round your answer to two decimal places. % Calculate the interest rate on 10-year Treasury securities. Round your answer to two decimal places. % Calculate the interest rate on 20-year Treasury securities. Round your answer to two decimal places. %
Interest Rate Sensitivity
A bond trader purchased each of the following bonds at a yield to maturity of 10%. Immediately after she purchased the bonds, interest rates fell to 7%. What is the percentage change in the price of each bond after the decline in interest rates? Fill in the following table. Round your answers to two decimal places.
| Price @ 10% | Price @ 7% | Percentage Change | |
| 10-year, 10% annual coupon | $ | $ | % |
| 10-year zero | % | ||
| 5-year zero | % | ||
| 30-year zero | % | ||
| $100 perpetuity | % |
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