$3)$ Suppose you have a $10-$year bond $($the bond will mature in $10$ years$),$ with a coupon rate of $2\mathrm{.}45\%.$ Coupons are paid on a semi$-$annual basis. The face value of the bond is $$1000.$ Suppose the bond's yield to maturity suddenly increases from $2\mathrm{.}13\%$ to $2\mathrm{.}63\%.$ What is the impact on the price of the bond in percentage terms? Justify all of your response.