A loan of $$34,200\mathrm{.}00$ at $5\mathrm{.}50\%$ compounded semi$-$annually is to be repaid with payments at the end of every $6$ months. The loan was settled in $5$ years.

a$.$ Calculate the size of the periodic payment.

$$3,645\mathrm{.}25$

$$4,537\mathrm{.}24$

$$3,958\mathrm{.}30$

$$4,341\mathrm{.}38$

b$.$ Calculate the total interest paid.

$$5,383\mathrm{.}00$

$$39,583\mathrm{.}00$

$$1,424\mathrm{.}70$

$$9,341\mathrm{.}30$