Answer:
- <u><em>7.67%</em></u>
Explanation:
Monthly payments from <em>mortgages</em> are calculated with the compounding montly interest rate.
Thus, you can "calculate" the monthly rate and the multiply by 12 to obtain the <em>APR</em> (annual percentage rate).
The equation for the <em>monthly payment </em>is:
- Loan = 80% × $1,800,00 = $1,440,000
- Monthly payment = $10,800
- t = number of months = 25 × 12 = 300
Substitute:
You must find r but it is very difficult to make it the subject of the equation; thus, the best is to do succesive calculations:
Tests:
r monthyly payment
- 0.01 $15,166.43 > $10,800 ⇒ lower
- 0.005 $ 9,277.94 < $10,800 ⇒ increase
- 0.006 $10,362.08 pretty close; increase a little bit
- 0.00639059 $10,800 ↔ this is the number
Multiply the rate by 12 (to obtain the APR): 0.00639059 × 12 = 0.07668708 = 7.67%.
- APR = 7.67% ← answer