An investor purchases a zero coupon bond with $17$ years to maturity at a price of $$430\mathrm{.}93.$ The bond has a par value of $$1,000.$ What is the implicit interest for the first year? Assume semiannual compounding.

Multiple Choice

$$ $$22\mathrm{.}42$

$$ $$19\mathrm{.}14$

$$

$$21\mathrm{.}88$

$$ $$20\mathrm{.}83$