Assuming the expectations theory is the correct theory of the term structure, calculate the interest rates in the term structure for maturities of one to four years, and plot the resulting yield curves for the following paths of one-year interest rates over the next four years:

a. 4%, 6%, 11%, 15%

b. 3%, 5%, 13%, 15%

How would your yield curves change if people preferred shorter-term bonds to longer-term bonds?