Suppose we observe the following rates: 1R 1 = 12 percent, 1R 2 = 15 percent. If the unbiased expectations theory of the term structure of interest rates holds, what is the one-year interest rate expected one year from now, E( 2r 1)?
one-year interest rate expected one year from now = [1+IR 2]^2 /[1+IR 1]^1 - 1
= [1+.15]^2/[1+.12] -1
=[1.15]^2 /1.12 - 1
= 1.3225/1.12 -1
= 1.1808-1
= .1808 or 18.08%
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