You are looking to buy a car and you have been offered a loan with an APR of 5.7 %​, compounded monthly. a. What is the true monthly rate of​ interest? b. What is the​ EAR?

Respuesta :

Answer:

Monthly Interest rate = 0.475%

EAR = 5.85%

Explanation:

a.

APR = 5.7%

Monthly Interest rate = APR / n

Monthly Interest rate = 5.7% / 12

Monthly Interest rate = 0.475%

b.

APR = 5.7%

m = 12

EAR = [ ( 1 + (APR / m))^m] - 1

EAR = [( 1 + (0.057 / 12))^12] - 1

EAR = [( 1 + 0.00475 )^12] - 1

EAR = [( 1.00475 )^12] - 1

EAR = 1.0585 - 1

EAR = 0.0585

EAR = 5.85%

True monthly rate of​ interest is 0.475%

EAR is 5.85%