Sean contributed $$1,500$ at the end of every $3$ months, for $4$ years, into a Registered Retirement Savings Plan $($RRSP$)$ earning $3\mathrm{.}75\%$ compounded quarterly.

a$.$ What is the future value of the fund at the end of $4$ years?

Round to the nearest cent b$.$ What is the amount of interest earned over the $4-$year period?

Round to the nearest cent