The buyer of a new home is quoted a mortgage rate of 0.5% per month. The APR and EAR on the loan are ________ and ________, respectively.
Group of answer choices
a.6.17%, 6.00%
b. 5.12%, 6%
c. 6.00%, 6.17%
d. 6%, 5.12%
Annual Percentage Rate (APR) |
Annual Percentage Rate (APR) = Monthly interest rate x 12 Months |
Annual Percentage Rate (APR) = 0.50% per month x 12 Months |
Annual Percentage Rate (APR) = 6.00% |
Effective Annual Rate (EAR) |
Effective Annual Rate (EAR) = [(1 + Monthly interest rate)^n] - 1 |
Effective Annual Rate (EAR) = [(1 + r)^n] - 1 |
Effective Annual Rate (EAR) = [(1 + 0.0050)^12] - 1 |
Effective Annual Rate (EAR) = [(1.0050)^12] - 1 |
Effective Annual Rate (EAR) = 1.061677812 - 1 |
Effective Annual Rate (EAR) = 0.061677812 or |
Effective Annual Rate (EAR) = 6.17% (Rounded to 2 decimal) |
The APR and EAR on the loan are 6.00% and 6.17% respectively. |
So, the answer woll be c. 6.00%, 6.17% |
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