A bond has a Macaulay duration of $5\mathrm{.}5$ years. What will be the percentage change in the bond price if the yield to maturity increases from $4\%$ to $4\mathrm{.}6\%?$

$3\mathrm{.}23\%$

$2\mathrm{.}43\%$

$3\mathrm{.}24\%$

$3\mathrm{.}38\%$

$3\mathrm{.}46\%$