A.) Assume the following series of one-year interest rates over the next five years:

5%, 7%, 7%, 7%, 7%

Assuming that the expectations theory is the correct theory of the term structure, calculate the interest rate for a 3-year bond.

B.) Assume the following series of one-year interest rates over the next five years:

5%, 7%, 7%, 7%, 7%

Assuming that the expectations theory is the correct theory of the term structure, calculate the interest rate for a 5-year bond.

C.) Assume the following series of one-year interest rates over the next five years:

5%, 4%, 4%, 4%, 4%

Assuming that the expectations theory is the correct theory of the term structure, calculate the interest rate for a 3-year bond.

D.) Assume the following series of one-year interest rates over the next five years:

5%, 4%, 4%, 4%, 4%

Assuming that the expectations theory is the correct theory of the term structure, calculate the interest rate for a 5-year bond.

Please show all work. Thanks!