Mr$.$ Frimpong is investing a fixed amount of $GH50,000$ into a fund every year in advance for $5$ years. If the fund earns an interest of $6\mathrm{.}5\%$ per annum:

$($a$)$ construct a schedule to show the value of the fund at the end of each year.

$($b$)$ use an appropriate formula to calculate the value of the fund at the end the five years