What is the modified duration for a three$-$year, semi$-$annual pay, $$1,000$ par value, $3\mathrm{.}20\%$ coupon bond that is currently priced to yield $3\mathrm{.}00\%?$

$2\mathrm{.}84$

$2\mathrm{.}73$

$5\mathrm{.}77$

$2\mathrm{.}88$