Suppose a $9-$year bond with $$100$ face value, $2\mathrm{.}00\%$ coupon rate and semiannual coupons is currently trading at a price of $$103\mathrm{.}50.$ All else constant, if the yield to maturity of the bond suddenly changes to $10\mathrm{.}00\%$ APR, what will happen to this bond's price?

it will decrease by $$49\mathrm{.}572$

it will decrease by $$50\mathrm{.}258$

it will increase by $$53\mathrm{.}349$

it will stay the same