I Love Finance, Inc. sells $4-$year annuities. A buyer of this annuity receives eight semiannual cash flows in the amount of $$8,200$ each at the end of each six months. I Love Finance, Inc. will begin these annuity payments in $7$ years, and so the first semiannual cash flow will be received by the buyer in $7\mathrm{.}5$ years.

a$.$

The annuity's rate of return is $14$ percent per year, compounded monthly. An investor buying it in five years will have to pay $$\_\_\_.($Do not round intermediate calculations. Round your final answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

b$.$ An investor buying it in three years will have to pay $$\_\_\_.($Assume the same rate of return structure as in part $($a$).)($Do not round intermediate calculations. Round your final answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

c$.$ An investor buying it today will have to pay $$\_\_\_.($Again assume the same rate of return structure as in part $($a$).)($Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$