Inflation and Interest Rates

In late 1980, the U.S. Commerce Department released new data showing inflation was 15%. At the time, the prime rate of interest was 21%, a record high. However, many investors expected the new Reagan administration to be more effective in controlling inflation than the Carter administration had been. Moreover, many observers believed that the extremely high interest rates and generally tight credit, which resulted from the Federal Reserve System's attempts to curb the inflation rate, would lead to a recession, which, in turn, would lead to a decline in inflation and interest rates. Assume that at the beginning of 1981, the expected inflation rate for 1981 was 12%; for 1982, 8%; for 1983, 6%; and for 1984 and thereafter, 6%

A.) Assuming a real risk-free rate of 2% and a maturity risk premium that equals 0.1 x (t)%, where t is the number of years to maturity, estimate the interest rate in January 1981 on bonds that mature in 1-5 years, 10 years, and 20 years. Round your answer to two decimal places.

B.) What would the yield curve look like based on this data?

***Please so work***