Calculate the modified duration of an $11\%,$ $$1,000$ par bond that matures in three years if the bond's YTM is $14\%$ and interest is paid semiannually.

Do not round intermediate calculations. Round your answer to two decimal places.

$1\mathrm{.}74$

$2\mathrm{.}68$

$3\mathrm{.}21$

$2\mathrm{.}45$