169k views
2 votes
What is the effective annual rate​ (EAR) of a mortgage that is advertised at 8.5​% ​(APR) over the next twenty years and paid with weekly ​payments? What is the effective annual rate​ (EAR) of the mortgage at 8.5​% APR with weekly ​payments? nothing​% ​(Round to two decimal​ places.)

User Dawoon
by
5.8k points

1 Answer

4 votes

Answer:

1. What is the effective annual rate​ (EAR) of a mortgage that is advertised at 8.5​% ​(APR) over the next twenty years and paid with weekly ​payments?

8.87%

2. What is the effective annual rate​ (EAR) of the mortgage at 8.5​% APR with weekly ​payments? nothing​% ​(Round to two decimal​ places.)

8.86%

Step-by-step explanation:

1.

APR = 8.5%

Weekly Payment

Number of years = 20

m = 52 x 20 = 1040

EAR = ( 1 + ( 0.085 / 1040 )^1040)-1

EAR = 0.0887

EAR = 8.87%

2.

APR = 8.5%

Weekly Payment

Number of years = 1

m = 52 x 1 = 52

EAR = ( 1 + ( 0.085 / 52 )^52 ) - 1

EAR = 0.0886

EAR = 8.86%

User Icedtrees
by
4.0k points