Consider a $5-$year coupon bond with $5\%$ annual coupons.

By what percentage will the bond price change if its yield to maturity increases from $5\%$ to $7\%?$

A$.$

$8\mathrm{.}20\%$

B$.$

$-8\mathrm{.}20\%$

C$.$

$-4\mathrm{.}2\%$

D$.$

$-6\mathrm{.}2\%$