$1$ What's the present value of a perpetuity of $2,000$ payable semiannually if money is worth $6\%$ compounded monthly and the first payment is due $2$ years from now?

$($a$)56,688\mathrm{.}63$

$($b$)49,433\mathrm{.}23$

$($c$)60,185\mathrm{.}06$

$($d$)62,092\mathrm{.}12$