You have signed a lease to purchase agreement for a car. According to the lease contract, you will make an equal payment at the beginning of each month. The lease principal, at the beginning of the lease is $$42,500.$ The duration of the lease is $5$ years and the interest rate is $6\%$ compounding monthly. How much $($$$)$ is your monthly payment?

Select one:

a$.$

$$798\mathrm{.}59$

b$.$

$$817\mathrm{.}56$

c$.$

$$821\mathrm{.}64$

d$.$

$$827\mathrm{.}41$

e$.$

$$812\mathrm{.}50$