Problem 6-6 Unbiased Expectations Theory (LG6-5)

Suppose that the current 1-year rate (1-year spot rate) and expected 1-year T-bill rates over the following three years (i.e., years 2, 3, and 4, respectively) are as follows:

₁R₁ = 1%, E(₂r₁) = 4.45%, E(₃r₁) = 4.95%, E(₄r₁) = 6.45%

Using the unbiased expectations theory, calculate the current (longterm) rates for 1-, 2-, 3-, and 4-year-maturity Treasury securities. Plot the resulting yield curve. (Do not round intermediate calculations. Round your answers to 2 decimal places.)

Year	Current (Long-term) Rates
1		%
2		%
3		%
4		%