A $20-$year maturity, $$1,000$ par bond was issued $8$ years ago. It carried a $2\mathrm{.}75\%$ fixed coupon that is paid semiannually in two equal payments. It is priced today at $$990\mathrm{.}25.$ If purchased, what is the investor's yield to maturity?

$2\mathrm{.}8465\%$

$2\mathrm{.}8141\%$

$1\mathrm{.}4070\%$

$1\mathrm{.}4232\%$