A bond has a modified duration of $4\mathrm{.}86$ and a yield to maturity of $6\mathrm{.}2\%.$ If interest rates increase by $50$ basis points, the bond's price will decrease by $\_\_\_\_\_\_\_\_\_\_$blank$\%.$

Multiple Choice

$\mathrm{.}46$

$\mathrm{.}50$

$2\mathrm{.}43$

$3\mathrm{.}42$

$4\mathrm{.}23$