An investor purchases a zero coupon bond with $18$ years to maturity at a price of $$375\mathrm{.}04.$ The bond has a par value of $$1,000.$ What is the implicit interest for the first year? Assume semiannual compounding.

$($A$)$ $$18\mathrm{.}38$

$$21\mathrm{.}53$

$$20\mathrm{.}30$

$$20\mathrm{.}00$

$$21\mathrm{.}00$