Foundations Of Finance
10th Edition
ISBN: 9780134897264
Author: KEOWN, Arthur J., Martin, John D., PETTY, J. William
Publisher: Pearson,
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Chapter 2, Problem 8SP
Summary Introduction
To determine: The expected 1 year Treasury bill return.
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Suppose we observe the 3-year Treasury security rate (1R3) to be 8 percent, the expected 1-year rate next year—E(2r1)—to be 4 percent, and the expected one-year rate the following year—E(3r1)—to be 6 percent. If the unbiased expectations theory of the term structure of interest rates holds, what is the 1-year Treasury security rate, 1R1?
You are considering investing money in Treasury bills and wondering what the real risk-free rate of interest is. Currently, Treasury bills are yielding 4.3% and the future inflation rate is expected to be 2.5% per year. Ignoring the cross product between the real rate of interest and the inflation rate, what is the real risk-free rate of interest?
The risk-free rate on T-bills recently was 1.23%. If the real rate of interest is estimated to be 0.80%, what was the expected level of inflation?
Chapter 2 Solutions
Foundations Of Finance
Ch. 2 - Prob. 1RQCh. 2 - Prob. 2RQCh. 2 - Prob. 3RQCh. 2 - Prob. 4RQCh. 2 - Prob. 5RQCh. 2 - Prob. 6RQCh. 2 - Prob. 7RQCh. 2 - Prob. 8RQCh. 2 - Prob. 9RQCh. 2 - Prob. 10RQ
Ch. 2 - Prob. 11RQCh. 2 - Prob. 12RQCh. 2 - Prob. 13RQCh. 2 - Prob. 14RQCh. 2 - Prob. 15RQCh. 2 - Prob. 1SPCh. 2 - Prob. 2SPCh. 2 - Prob. 3SPCh. 2 - Prob. 4SPCh. 2 - Prob. 5SPCh. 2 - Prob. 6SPCh. 2 - Prob. 7SPCh. 2 - Prob. 8SPCh. 2 - Prob. 9SPCh. 2 - Prob. 10SPCh. 2 - Prob. 11SPCh. 2 - (Interest rate determination) Youre looking at...Ch. 2 - Prob. 13SPCh. 2 - (Yield curve) If yields on Treasury securities...Ch. 2 - (Unbiased expectations theory) Currently you have...Ch. 2 - Prob. 2MCCh. 2 - Prob. 3MCCh. 2 - Prob. 4MCCh. 2 - Prob. 5MC
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- Suppose we observe the 3-year Treasury security rate (1R3) to be 8 percent, the expected 1-year rate next year—E(2r1)—to be 4 percent, and the expected one-year rate the following year—E(3r1)—to be 6 percent. If the unbiased expectations theory of the term structure of interest rates holds, what is the 1-year Treasury security rate, 1R1? (Round your answer to 2 decimal places.)arrow_forwardAssume that the real risk-free rate is 1% and that the maturity risk premium is zero. If a 1-year Treasury bond yield is 6% and a 2-year Treasury bond yields 7%, what is the 1-year interest rate that is expected for Year 2? Calculate this yield using a geometric average. Do not round intermediate calculations. Round your answer to two decimal places. What inflation rate is expected during Year 2? Do not round intermediate calculations. Round your answer to two decimal places.arrow_forwardThe pure expectations theory, or the expectations hypothesis, asserts that long-term interest rates can be used to estimate future short-term interest rates. Based on the pure expectations theory, is the following statement true or false? Q1. A certificate of deposit (CD) for two years will have the same yield as a CD for one year followed by an investment in another one-year CD after one year. a. True b. False Q2. The yield on a one-year Treasury security is 4.9200%, and the two-year Treasury security has a 5.9040% yield. Assuming that the pure expectations theory is correct, what is the market’s estimate of the one-year Treasury rate one year from now? (Note: Do not round your intermediate calculations.) a. 5.8627% b. 6.8973% c. 7.8629% d. 8.7596% Q3. Recall that on a one-year Treasury security the yield is 4.9200% and 5.9040% on a two-year Treasury security. Suppose the one-year security does not have a maturity risk premium, but the two-year security does and it is 0.2%. What is…arrow_forward
- Due to a recession, expected inflation this year is only 4.75%. However, the inflation rate in Year 2 and thereafter is expected to be constant at some level above 4.75%. 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 0.5%, what inflation rate is expected after Year 1?arrow_forwardDue to a recession, expected inflation this year is only 1.75%. However, the inflation rate in Year 2 and thereafter is expected to be constant at some level above 1.75%. Assume that the expectations theory holds and the real risk-free rate (r*) is 1.5%. If the yield on 3-year Treasury bonds equals the 1-year yield plus 0.5%, what inflation rate is expected after Year 1? Round your answer to two decimal places.arrow_forwardThe real risk-free rate is 2.36%, inflation is expected to be 4.75% this year, and the maturity risk premium is zero. What is the equilibrium rate of return on a 1-year Treasury security? (Express your answer as a percent and round your final answer to 2 decimal places.)arrow_forward
- The pure expectations theory, or the expectations hypothesis, asserts that long-term interest rates can be used to estimate future short-term interest rates. Q. Suppose the yield on a two-year Treasury security is 5.83%, and the yield on a five-year Treasury security is 6.20%. Assuming that the pure expectations theory is correct, what is the market’s estimate of the three-year Treasury rate two years from now? (Note: Do not round your intermediate calculations.) a. 6.45% b. 6.69% c. 5.46% d. 6.61%arrow_forwardAssume that the real risk-free rate is 2.4% and that the maturity risk premium is zero. If a 1-year Treasury bond yield is 5.6% and a 2-year Treasury bond yields 6.3%. Calculate the yield using a geometric average. What is the 1-year interest rate that is expected for Year 2? Do not round intermediate calculations. Round your answer to two decimal places. % What inflation rate is expected during Year 2? Do not round intermediate calculations. Round your answer to two decimal places. % Comment on why the average interest rate during the 2-year period differs from the 1-year interest rate expected for Year 2. The difference is due to the inflation rate reflected in the two interest rates. The inflation rate reflected in the interest rate on any security is the average rate of inflation expected over the security's life. The difference is due to the real risk-free rate reflected in the two interest rates. The real risk-free rate reflected in the interest rate on any security is the…arrow_forwardAssume that the real risk-free rate is 1.9% and that the maturity risk premium is zero. If a 1-year Treasury bond yield is 5.6% and a 2-year Treasury bond yields 6.3%. Calculate the yield using a geometric average. What is the 1-year interest rate that is expected for Year 2? Do not round intermediate calculations. Round your answer to two decimal places. % What inflation rate is expected during Year 2? Do not round intermediate calculations. Round your answer to two decimal places. % Comment on why the average interest rate during the 2-year period differs from the 1-year interest rate expected for Year 2. The difference is due to the fact that the maturity risk premium is zero. The difference is due to the fact that we are dealing with very short-term bonds. For longer term bonds, you would not expect an interest rate differential. The difference is due to the fact that there is no liquidity risk premium. The difference is due to the inflation rate reflected in the two interest…arrow_forward
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