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How do I calculate the monthly payment on a loan?

Short answer

Use the amortization formula M = P x [r(1+r)^n] / [(1+r)^n - 1], where P is the amount borrowed, r is the monthly rate (annual rate divided by 12) and n is the number of monthly payments. As a worked example, 20,000 borrowed over 5 years at an example rate of 7 percent comes to 396.02 per month. A free loan calculator runs the formula instantly for any amount, rate and term.

Reading the formula without the headache

The formula looks dense but only says one thing: your fixed payment is sized so that after n payments of interest plus principal, the balance hits exactly zero. In the 20,000 example at 7 percent over 60 months, the monthly rate is 0.07 / 12 and the payment lands at 396.02. Over the full term you pay roughly 3,761 in total interest on top of the 20,000 you borrowed.

What moves the number

A smaller loan, a lower rate or a longer term all lower the monthly payment, but a longer term raises the total interest you pay. For comparison, 10,000 over 3 years at an example rate of 6 percent is 304.22 per month. Trying a few scenarios side by side in the calculator is the fastest way to see the trade-off between monthly comfort and total cost.

Frequently asked questions

How much total interest is in the 20,000 example?

At the example rate of 7 percent over 5 years, roughly 3,761 in interest is paid over the life of the loan on top of the 20,000 principal.

Is this the same math as a mortgage?

Yes. Fixed-rate mortgages, car loans and personal loans all use the same amortization formula; only the numbers differ.

Does paying extra each month help?

Yes. Extra payments reduce the principal early, which shortens the loan and cuts the total interest, since interest accrues on the remaining balance.

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