A zero coupon bond offers $$1,000$ in twenty$-$four years. Suppose you buy this bond for $$514$ and hold it till it matures. Which of the following comes closest to the bond's yield to maturity?

$2\mathrm{.}81\%$

$2\mathrm{.}94\%$

$23\%$

$3\mathrm{.}07\%$

$2\mathrm{.}70\%$