You have a $15-$year maturity, $4\%$ coupon, $6\%$ yield bond with duration of $10\mathrm{.}5$ years and a convexity of $128\mathrm{.}75.$ The bond is currently priced at $$805\mathrm{.}76.$ If the interest rate were to increase $200$ basis points, your predicted new price for the bond $($including convexity$)$ is

Select one:

A$.$ $$662\mathrm{.}23$

B$.$ $$642\mathrm{.}54$

C$.$ $$705\mathrm{.}03$

D$.$ $$638\mathrm{.}85$