In: Finance
You have just borrowed $300,000 to buy a condo. You will repay the loan in equal monthly payments of $3,950.37 over the next 20 years. a-1. What monthly interest rate are you paying on the loan? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) a-2. What is the APR? (Do not round intermediate calculations. Enter your answer as a whole percent.) b. What is the effective annual rate on that loan? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) c. What rate is the lender more likely to quote on the loan? APR EAR
$300000 is the PV of the monthly instalements of $3950.37 | |
(annuity) for the next 240 months at a monthly interest rate of i, which is to be found out. | |
Hence, 300000 = 3950.37*PVIFA(i,240) | |
75.9423 = PVIFA(i,240) | |
The value of i can be found out by trial and error. | |
Using an online calculator | |
for i = 0.0125, PVIFA is exactly, 75.9423 | |
a-1) | Monthly interest rate = 1.25% |
a-2) | APR = 1.25*12 = 15% |
b) | EAR = 1.0125^12-1 = 16.08% |
c) | APR |