Suppose you are going to receive $$12,900$ per year for six years. The appropriate interest rate is $7\mathrm{.}8$ percent.

a$-1.$ What is the present value of the payments if they are in the form of an ordinary annuity?

Note: Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$

a$-2.$ What is the present value if the payments are an annuity due?

Note: Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$

b$-1.$ Suppose you plan to invest the payments for six years. What is the future value if the payments are an ordinary annuity?

Note: Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$

b$-2.$ Suppose you plan to invest the payments for six years. What is the future value if the payments are an annuity due?

Note: Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$