Here is the problem you need to solve:
- On a $250,000 mortgage amortized over 30 years (360 months) at an interest rate of 11%, what would be the monthly payment?
- On a $125,000 mortgage with monthly payments of $1,049.00 at an interest rate of 9%, what is the length of time this mortgage is amortized over?
- On a $100,000 mortgage amortized over 20 years (240 months) with monthly payments of $1,118.56, what would the interest rate be?
- If a mortgage is amortized over 30 years (360 months) at an interest rate of 10% and monthly payments of $2,632.71, what is the original value of the mortgage?
- If a mortgage is amortized over 30 years (360 payments) at a 9.5% interest rate for $150,000 and there is a balloon due in 15 years (180 payments), what would be the monthly payment amount and the balloon amount? (This is a two-part question.)
Here is the solution:
3. On a $100,000 mortgage amortized over 20 years (240 months) with monthly payments of $1,118.56, what would the interest rate be?
The question is asking us what the interest rate on this mortgage would be, therefore, we can conclude that we are solving for I in this example. The mortgage is amortized over 20 years, so we would enter 240 into N. It’s a $100,000 mortgage, so we would enter that amount into PV. The monthly payment amount is $1,118.56, so we would enter that into PMT. There is no talk of a balloon payment in this example, so we would enter 0 into FV. The answer, as listed above, should be 12.25%.
Here is the answers are listed in bold.
Example # |
N |
I |
PV |
PMT |
FV |
1. |
360 |
11% |
$250,000 |
$-2,380.81 |
0 |
2. |
300 |
9% |
$125,000 |
$-1,049.00 |
0 |
3. |
240 |
12.25% (Ans) |
$100,000 |
$-1,118.56 |
0 |