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?

Essentials Of Investments
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ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
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Chapter1: Investments: Background And Issues
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**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:

- \( ^1R_1 = 4.35\% \)
- \( E(^2r_1) = 5.35\% \)
- \( E(^3r_1) = 5.85\% \)
- \( E(^4r_1) = 6.28\% \)

Using the unbiased expectations theory, what is the current (long-term) rate for four-year-maturity Treasury securities?
Transcribed Image Text:**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: - \( ^1R_1 = 4.35\% \) - \( E(^2r_1) = 5.35\% \) - \( E(^3r_1) = 5.85\% \) - \( E(^4r_1) = 6.28\% \) Using the unbiased expectations theory, what is the current (long-term) rate for four-year-maturity Treasury securities?
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