**Unbiased Expectations Theory**: One-year Treasury bills currently earn 5.80 percent. You expect that one year from now, one-year Treasury bill rates will increase to 6.05 percent. If the unbiased expectations theory is correct, what should the current rate be on two-year Treasury securities?Explanation: The unbiased expectations theory suggests that long-term interest rates are an average of current and expected future short-term interest rates. Therefore, the current rate on two-year Treasury securities would be the average of the current one-year rate (5.80 percent) and the expected one-year rate one year from now (6.05 percent).

Given, One-year treasury bill rate (R1) = 5.80% Treasury bill rate increases (R2) = 6.05% 2-year…

Answered: Unbiased Expectations Theory One-year…

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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One-year Treasury bills currently earn 5.50 percent. You expect that one year from now, one-year Treasury bill rates will increase to 5.75 percent. If the unbiased expectations theory is correct, what should the current rate be on two-year Treasury securities? 5.50% 5.625% 5.75% 11.25%
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The yield on a one-year Treasury security is 4.6900%, and the two-year Treasury security has a 6.3315% 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.) 6.799% O7.9988% O9.1186% O 10.1585% Recall that on a one-year Treasury security the yield is 4.6900% and 6.3315% 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 0.15%. What is the market's estimate of the one-year Treasury rate one year from now? (Note: Do not round your intermediate calculations.) O 7.6942% O 8.7714% O9.7716% O 6.5401% 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…
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Liquidity Premium Hypothesis Based on economists' forecasts and analysis, one-year Treasury bill rates and liquidity premiums for the next four years are expected to be as follows: R1 = 7.20% E(r2) 8.30% L2 .65% %3D E(r3) = 8.40% L3 = .75% E(r4) = 8.70% L4 = .80% Using the liquidity premium hypothesis, what is the current rate on a four-year Treasury security?
A recent edition of The Wall Street Journal reported interest rates of 11.25 percent, 11.60 percent, 11.98 percent, and 12.25 percent for 3-, 4-, 5-, and 6-year Treasury security yields, respectively. According to the unbiased expectation theory of the term structure of interest rates, what are the expected 1-year forward rates for years 4, 5, and 6? (Do not round intermediate calculations. Round your answers to 2 decimal places.) Years Forward Rates 4 5 6 %
One-year Treasury securities yield 5%, 2-year Treasury securities yield 5.3%, and 3-year Treasury securities yield 6%. Assume that the expectations theory holds. What does the market expect will be the yield on 1-year Treasury securities two years from now? 8.50% 7.41% 6.51% 7.01% 8.01%
Quantitative Problem: An analyst evaluating securities has obtained the following information. The real rate of interest is 2.5% and is expected to remain constant for the next 5 years. Inflation is expected to be 2% next year, 3% the following year, 4% the third year, and 5% every year thereafter. The maturity risk premium is estimated to be 0.1 x (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? Do not round intermediate calculations. Round your answer to two decimal places. % b. What is the yield on a 5-year T-bond? Do not round intermediate calculations. Round your answer to two decimal places. % c. What is the yield on a 5-year corporate bond? Do not round intermediate calculations. Round your answer to two decimal places. % Icon Key Check My Work (3 remaining)
Unbiased Expectations Theory Suppose that the current one-year rate (one-year spot rate) and expected one-year T-bill rates over the following three years (i.e., years 2, 3, and 4, respectively) are as follows 1R1=4.35%, E(2r1) =5.35%, E(3r1) =5.85%, E(4r1)=6.20% Using the unbiased expectations theory, what is the current (long-term) rate for four-year-maturity Treasury securities?
A recent edition of The Wall Street Journal reported interest rates of 10.25 percent, 10.60 percent, 10.98 percent, and 11.25 percent for 3-, 4-, 5-, and 6-year Treasury security yields, respectively. According to the unbiased expectation theory of the term structure of interest rates, what are the expected 1-year forward rates for years 4, 5, and 6? (Do not round intermediate calculations. Round your answers to 2 decimal places.) Years 4 5 6 Forward Rates % %
Based on economists' forecasts and analysis, one-year Treasury bill rates and liquidity premiums for the next four years are expected to be as follows: Using the liquidity premium theory, what is the current rate on a four- year Treasury security? R1 = 6.65% E(r₂) 7.75% L2 = 0.10% E(r3) = 7.85% L3 0.20% E(r4) = 8.15% L4 = 0.25% Multiple Choice O 7.736 percent 7.600 percent 7.738 percent 8.400 percent

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Unbiased Expectations Theory One-year Treasury bills currently earn 5.80 percent. You expect that one year from now, one- year Treasury bill rates will increase to 6.05 percent. If the unbiased expectations theory is correct, what should the current rate be on two-vear Treasury securities?