SOLUTION: I am given the interest rate (.25%), the amortization - yearly (10) and the loan amount ($25,000). How do I calculate the monthly payment? I calculated the effective interest ra

Algebra ->  Finance -> SOLUTION: I am given the interest rate (.25%), the amortization - yearly (10) and the loan amount ($25,000). How do I calculate the monthly payment? I calculated the effective interest ra      Log On


   



Question 958620: I am given the interest rate (.25%), the amortization - yearly (10) and the loan amount ($25,000). How do I calculate the monthly payment?
I calculated the effective interest rate by .0025/12= 2.0833 E^-4. I don't how to use that.
where did I go wrong?
(I submitted this question earlier with an incorrect interest rate. I had said it was 25%, but it's .25%.

Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
It cannot be 0.25% per year.. If the 0.25% is correct, then it is the MONTHLY rate, which adds up to 3% per year. Could it be 2.5% per year?
Here is an example you can follow once you clarify the interest rate issue, I will use 2.5%/year (0.025):
-------------------
Step 1 - Monthly Rate (precisely, banker-style)
Monthly rate = %281%2Bannual+rate%29%5E%281%2F12%29%28-1%29
Monthly rate= %281%2B0.025%29%5E%281%2F12%29%28-1%29
Monthly rate= ~0.0020598
NOTE: One of the most common mistakes is to simply divide annual rate by 12 to get monthly rate. However, you are not a banker. If you don't need to be THAT precise, then just take .025/12= 0.0021.
--------------------
Step 2 - Find monthly payment:
A = monthly payment amount
P = loan amount (25,000)
i = monthly interest rate (the one we figured out above, 0.0020598)
n = total number of payments (10 years x 12 months= 120 payments)
A=P%2Ai%2F1-%281%2Bi%29%5En
A=+25000%2A0.0020598%2F1-%281.0020598%29%5E-120
A=+235.35