You have just purchased a new warehouse. To finance the purchase, you$$ve arranged for a $30-$year mortgage for $80$ percent of the $$3,700,000$ purchase price. The monthly payment on this loan will be $$17,800.$

a$.$ What is the APR on this loan? $($Do not round intermediate calculations and enter your answer as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

b$.$ What is the EAR on this loan? $($Do not round intermediate calculations and enter your answer as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$