It's the first day of the year and you currently have $$20,000$ in the

bank. You plan to deposit $$5,000$ at the end of every year for the next $5$ years, with

the first payment made $1$ year from now $($from t$=1$ to t$=5$ inclusive$).$

If bank interest rates are $3\%$ pa$,$ how much money will be in your bank account a

moment after making your last deposit in $5$ years?

$($a$)$ $$26,545\mathrm{.}68$

$($b$)$ $$46,545\mathrm{.}68$

$($c$)$ $$49,731\mathrm{.}16$

$($d$)$ $$53,789\mathrm{.}22$

$($e$)$ $$59,436\mathrm{.}99$