What is the duration for a $4-$year time to maturity, $4\%$ coupon with Face Value of $$1,000$ and YTM$=6\%?($Assume coupons are paid annually.$)$

Group of answer choices

$2\mathrm{.}73$ years

$3\mathrm{.}77$ years

$2\mathrm{.}41$ years

$1\mathrm{.}88$ years

$3\mathrm{.}35$ years