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MathKit

Loan Payment Calculator

Compute the monthly payment (EMI) for a loan given principal, annual rate, and term.

Calculator

Use the Loan Payment Calculator

Result

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Formula

EMI = P·r·(1+r)^n ÷ ((1+r)^n − 1), r monthly

Step-by-step

  1. 1

    Enter the loan amount

    How much you are borrowing.

  2. 2

    Enter rate and term

    Annual interest rate and years to repay.

Worked example

Example input: principal: 20000, rate: 6, years: 5

Result: 386.66

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Frequently asked questions

How is the monthly payment computed?

The standard amortization formula: monthly rate combines with the number of months to pay down interest and principal together. The example 20,000 at 6 percent over 5 years gives 386.66 per month. Every payment starts heavier on interest and leans toward principal as months pass.

What does the payment actually include?

Only principal and interest — the mechanics of the loan itself. Insurance, taxes, or fees a lender adds on top live outside this formula, so treat the output as the finance floor.

What if the loan carried no interest?

Then repayment is plain division: 20,000 over 60 months is 333.33 each month with nothing extra. The calculator handles that zero-rate case directly.

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