A home buyer buys a house for $$2,211,000.$ She pays $20\%$ cash, and takes a fixed$-$rate mortgage for ten years at $7\mathrm{.}25\%$ APR. If she makes semi$-$monthly payments, which of the following is closest to each of her payment?

$$11,409\mathrm{.}53$

$$10,372\mathrm{.}30$

$$12,446\mathrm{.}76$

$$8,297\mathrm{.}84$