Say that you purchase a house for $$150,000$ by getting a mortgage for $$135,000$ and paying a $$15,000$ down payment. If you get a $15-$year mortgage with a $6$ percent interest rate, what are the monthly payments?

Multiple Choice

$$1,072\mathrm{.}51$

$$1,139\mathrm{.}21$

$$997\mathrm{.}28$

$$1,238\mathrm{.}93$