A firm lends $$42,000$ that pays $11\%$ compounded semiannually for $4$ yrs$.$

Find the compound amount $($maturity value $/$ future value$)$ at the end of $4$ yrs$.$

Group of answer choices

$$64,465\mathrm{.}83$

$$64,466\mathrm{.}83$

$$64,465\mathrm{.}38$

$$64,456\mathrm{.}83$