You want to buy a new sports coupe for $$74,700,$ and the finance office at the dealership has quoted you a loan with an APR of $7\mathrm{.}1$ percent for $72$ months to buy the car.

$10$ points

a$.$ What will your monthly payments be$?$

Note: Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$

b$.$ What is the effective annual rate on this loan?

Note: Do not round intermediate calculations and enter your answer as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$