Sam wants to donate $$1,000,000$ to establish a fund to provide an annual scholarship in perpetuity. The fund will earn an interest rate of j$4=4\mathrm{.}51\%$ p$.$a$.$ effective and the first scholarship will be first awarded $2\mathrm{.}5$ years after the date of the donation.

$($a$)$ What is the amount of the annual scholarship $($rounded to two decimal places$)?$The correct answer is: $49060\mathrm{.}30$