A $20-$year annulty of forty $$7,000$ semiannual payments will begin $12$ years from now, with the first payment coming $12\mathrm{.}5$ years from now.

a$.$ If the discount rate is $13$ percent compounded monthly, what is the value of this annulty $7$ years from now?

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

$\backslash$table$[[$Value today,$$20,537\mathrm{.}53|||$