Milner's Tools has a $9-$year, $7\%$ annual coupon bond outstanding with a $$1,000$ par value. Carter's Tools has a $10-$year, $6\%$ annual coupon bond with a $$1,000$ par value. Both bonds currently have a yield to maturity of $6\mathrm{.}5\%.$ Which of the following statements is correct if the market yield increases to $6\mathrm{.}75\%?$Multiple ChoiceBoth bonds would decrease in value by $2\mathrm{.}50\%.$The Carter's bond will decrease in value by $$16\mathrm{.}82.$The Milner's bond will increase in value by $$16\mathrm{.}82.$The Carter's bond will decrease in value by $1\mathrm{.}80\%.$The Milner's bond will increase in value by $1\mathrm{.}63\%.$