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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 9.0%, 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%

Respuesta :

Tundexi

Answer:

e. 1.88%

Explanation:

EAR = (1+APR/m)^m. M means compounding periods

For Southwestern Bank

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

EAR = 1.00575^12 - 1

EAR = 1.0712245 - 1

EAR = 0.0712245

EAR = 7.12%

So, the difference between the effective annual rate charged by Woodburn versus the rate charged by Southwestern is 1.88% (9% - 7.12%)

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