Question

Southwestern Bank offers to lend you $50,000 at a nominal rate of 6.9%, compounded monthly. The loan (principal plus interest) must be repaid at the end of the year. Woodburn Bank also offers to lend you the $50,000, but it will charge an annual rate of 8.1%, with no interest due until the end of the year. How much higher or lower is the effective annual rate charged by Woodburn versus the rate charged by Southwestern?a. 1.68% b. 1.98% c. 2.08% d. 1.78% e. 1.88%

Answer 1

0.98%

Step-by-step explanation:

Note: Options provided is slightly different for this question

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

EAR = (1+0.069/12)^12 - 1

EAR = (1.00575)^12 - 1

EAR = 1.07122449517 - 1

EAR = 7.12%

Hence, higher EAR charged by Woodburn versus the rate charged by Southwestern = (8.1% - 7.12%) = 0.98%