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 five years and use them to plot the resulting yield curves for the following paths of one$-$year interest rates over the next five years.

a$.\backslash (5\backslash \%,6\backslash \%,6\backslash \%,6\backslash \%,6\backslash \%\backslash )$

b$.\backslash (5\backslash \%,2\backslash \%,2\backslash \%,2\backslash \%,2\backslash \%\backslash )$

Plot the interest rate $($calculated using the data above$)$ for each of the five terms to maturity for each given path. Label your curves appropriately. Choose the correct graph below.

A$.$

B$.$

C$.$

D$.$