Suppose that: 1 ) The interest on a one-year bond today is 3%; 2 ) The interest on a one-year bond starting one year from now is expected to be 4% per year; 3 ) The interest on a one-year bond starting two years from now is expected to be 5% per
year; 4 ) The risk premium on a two-year bond is 0.5%; and 5 ) The risk premium on a three-year bond is 1.0%. Use that information to answer the following questions. a) According to the expectations theory, what is the interest rate today on a two-year bond? Show your work. b) According to the expectations theory, what is the interest rate today on a three-year bond? Show your work. c) Plot the yield curve.
a) (3% + 4%)/2 + 0.5% = 4.0%
b) (3% + 4% + 5%)/3 + 1.0% = 5.0%
c) plot 3 points with 1, 2, and 3 years to maturity vs. yields of 3%, 4%, and 5%.
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