Suppose a $11-$year bond with $$100$ face value, $2\mathrm{.}00\%$ coupon rate and quarterly coupons is currently trading at a price of $$105\mathrm{.}50.$ All else constant, if the yield to maturity of the bond suddenly changes to $8\mathrm{.}00\%$APR, what will happen to this bond's price?

it will decrease by $$49\mathrm{.}120$

It will decrease by $$45\mathrm{.}760$

it will increase by $$51\mathrm{.}510$

$$ It will decrease by $$48\mathrm{.}334$