A bond with $11\%,$ $$1,000$ par bond that matures in three years if the bond's YTM is $14\%$ and interest is paid semiannually.

Assuming the bond's YTM goes from $14\%$ to $13\mathrm{.}5\%,$ calculate an estimate of the price change. Do not round intermediate calculations. Round your answer to three decimal places.

$5\mathrm{.}239$

$2\mathrm{.}619$

$3\mathrm{.}794$

$1\mathrm{.}224$