A $10-$year annuity of twenty $$6,000$ semiannual payments will begin $9$ years from now, with the first payment coming $9\mathrm{.}5$ years from now.

a$.$ If the discount rate is $7$ percent compounded monthly, what is the value of this annuity $3$ years from now?

Value at Year $3$

$$55,837\mathrm{.}48$

$$84,878\mathrm{.}87$

$$59,873\mathrm{.}98$

$$16,939\mathrm{.}62$

$$54,720\mathrm{.}73$

b$.$ What is the current value of the annuity?

$\backslash$table$[[$Value today,$],[,$$$45,288\mathrm{.}61$