What would yield$-$to$-$maturity $($YTM$)$ be on a $5-$year, zero$-$coupon interest $($daily compounding$),$ $$1,000$ par value bond that is currently trading at $$818\mathrm{.}65?$

A$.$

$2\mathrm{.}1901\%$

B$.$

$2\mathrm{.}8071\%$

C$.$

$3\mathrm{.}4540\%$

D$.$

$4\mathrm{.}0002\%$