Problem $6-52$ Calculating Present Values $[$LO$1]$

A $4-$year annuity of $8$$$8,200$ semiannual payments will begin $9$ years from now, with the first payment coming $9\mathrm{.}5$ years from now. The discount rate is $14$ percent compounded monthly.

a$.$ What is the value of this annuity five years from now? $($Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

b$.$ What is the value three years from now? $($Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

c$.$ What is the current value of the annuity? $($Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

a$.$ Value at Year $5$

b$.$ Value at Year $3$

c$.$ Value today