A $5-$year annuity of ten $$6,000$ semiannual payments will begin $11$ years from now, with the first payment coming $11\mathrm{.}5$ years from now.

a$.$ If the discount rate is $10$ percent compounded monthly, what is the value of this annuity $7$ years from now?

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

Value today