Jason contributed $$5545$ at the end of every $3$ months, for $4$ years, into a Registered Retirement Savings Plan $($RRSP$)$ earning $3\mathrm{.}50\%$ compounded quarterly. What is the amount of interest earned over the $4-$year period?

Question $4$ options:

$$6066\mathrm{.}90$

$$5930\mathrm{.}13$

$$5285\mathrm{.}70$

$$521\mathrm{.}90$