Suppose you are going to receive $$5,000$ per year for $8$ years. The appropriate interest rate is $10$ percent.

a$.$ What is the present value of the payments if they are in the form of an ordinary annuity?

$$26,674\mathrm{.}63$

b$.$ What is the present value if the payments are an annuity due?

c$.$ Suppose you plan to invest the payments for $8$ years. What is the future value at the end of Year $8$ if the payments are an ordinary annuity?

d$.$ Suppose you plan to invest the payments for $8$ years. What is the future value at the end of Year $8$ if the payments are an annuity due?