A home buyer buys a house for $$2,461,000.$ She pays $20\%$ cash, and takes a fixed $-$ rate mortgage for ten years at $7\mathrm{.}6\%$ APR. If she makes semi $-$ monthly payments, which of the following is

closest to each of her payment?

A$.$ $$9,215\mathrm{.}74$

B$.$ $$11,519\mathrm{.}67$

C$.$ $$13,823\mathrm{.}61$

D$.$ $$12,671\mathrm{.}64$