If you take out a $15$ year mortgage with yearly interest rate of $9\%,$ and monthly payment

$$1,014\mathrm{.}27,$ what was the initial value?

a$)$ $$50,000$

b$)$ $$60,000$

c$)$ $$70,000$

d$)$ $$80,000$

e$)$ $$90,000$

f$)$ $$100,000$