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.)

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.)

Intermediate Financial Management (MindTap Course List)

13th Edition

ISBN:9781337395083

Author:Eugene F. Brigham, Phillip R. Daves

Publisher:Eugene F. Brigham, Phillip R. Daves

Chapter2: Risk And Return: Part I

Section: Chapter Questions

Problem 4MC: What is the stand-alone risk? Use the scenario data to calculate the standard deviation of the bonds...

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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?
Suppose we observe the three-year Treasury security rate (1R3) to be 4.9 percent, the expected one-year rate next year-E(21)-to be 5.4 percent, and the expected one-year rate the following year-E(301)-to be 6.4 percent. If the unbiased expectations theory of the term structure of interest rates holds, what is the one-year Treasury security rate? (Do not round intermediate calculations. Round your percentage answer to 2 decimal places. (e.g., 32.16)) One-year Treasury security rate %
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Suppose the real risk-free rate is 3.00%, the average expected future inflation rate is 4.00%, and a maturity risk premium of 0.10% per year to maturity applies, i.e., MRP = 0.10%(t), where t is the years to maturity. What rate of return would you expect on a 1-year Treasury security, assuming the pure expectations theory is NOT valid? Include the cross-product term, i.e., if averaging is required, use the geometric average. (Round your final answer to 2 decimal places.)
Suppose the real risk-free rate is 4.25% and the future rate of inflation is expected to be constant at 3.90%. What rate of return would you expect on a 1-year Treasury security, assuming the pure expectations theory is valid? Include cross-product terms, i.e., if averaging is required, use the geometric average. (Round your final answer to 2 decimal places.)
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%
Suppose the real risk-free rate is 3.50%, the average future inflation rate is 2.25%, and a maturity premium of 0.10% per year to maturity applies, i.e., MRP = 0.10. What rate of return would you expect on a 1-year (short term) Treasury security?
Suppose the real risk-free rate is 4.05% and the future rate of inflation is expected to be constant at 2.00%. What rate of return would you expect on a 1-year Treasury security, assuming the pure expectations theory is valid? Include cross-product terms, i.e., if averaging is required, use the geometric average. (Round your final answer to 2 decimal places.) a. 4.05% O b. 2.08% O c. 6.05% O d. 6.13% O e. 4.13%
Suppose we observe the following rates: 1R1 = 0.75%, 1R2 = 1.20%, and E(2r1) = 0.907%. If the liquidity premium theory of the term structure of interest rates holds, what is the liquidity premium for year 2, L2? (Do not round intermediate calculations. Round your answer to 3 decimal places.)
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