EMI Calculator: Estimate Your Monthly Loan Payment

An EMI calculator estimates the fixed monthly instalment for a loan from its principal, annual interest rate and term. Enter those three figures to see the monthly payment and the total interest over the full repayment period, using the same currency throughout.

Formula

For a fully amortizing loan with equal monthly payments, the EMI is calculated as:

EMI = P × r × (1 + r)ⁿ ÷ ((1 + r)ⁿ − 1)

This is equivalent to P × r ÷ (1 − (1 + r)⁻ⁿ). The calculator rounds the monthly payment to two decimal places before calculating total interest.

• P is the starting loan principal, in the currency you enter.
• r is the monthly interest rate as a decimal: annual APR divided by 12 and by 100.
• n is the number of monthly instalments: loan term in years multiplied by 12.
• EMI is the calculated monthly instalment, in the same currency as P.

Total interest is estimated as the rounded EMI multiplied by the number of payments, minus the original principal. The input rate must be above zero for this version of the formula.

Worked Example

Using the calculator’s default inputs—loan amount 20,000, APR 8%, and a 5-year term:

1. Convert the annual rate to a monthly decimal: r = 8 ÷ 1,200 = 0.0066666667.
2. Convert the term to monthly payments: n = 5 × 12 = 60.
3. Substitute into the formula: EMI = 20,000 × 0.0066666667 ÷ [1 − (1.0066666667)⁻⁶⁰].
4. The monthly EMI, rounded to two decimal places, is 405.53.
5. Total interest using that rounded instalment is 405.53 × 60 − 20,000 = 4,331.80.

The final payment in an actual amortization schedule can differ by a small amount because lenders may calculate interest and adjust payment rounding differently.

Assumptions

• The interest rate stays fixed throughout the term.
• Payments are equal monthly instalments, made at the end of each monthly period.
• Interest compounds monthly at APR divided by 12; the APR is entered as a percentage per year.
• The estimate excludes fees, taxes, insurance, PMI and escrow because they are not inputs to this calculator.

What an EMI Calculator Shows

EMI means equated monthly instalment: a recurring payment intended to repay both interest and principal over a specified term. In a standard amortizing loan, the payment stays level when the rate is fixed, but its composition changes. Early payments generally contain more interest because the outstanding balance is larger; later payments direct more of the same instalment toward principal.

The two outputs answer different questions. Monthly EMI estimates the scheduled payment, while total interest estimates the interest paid across all scheduled instalments. Neither is the total amount borrowed: total scheduled repayment is principal plus the displayed interest. In the example, that is 24,331.80 in the same currency as the loan amount.

When to Use It and How to Read It

Use the calculator to understand how a stated principal, APR and term translate into a level monthly payment under the assumptions above. You can change one input at a time to observe how the mathematical estimate changes. A longer term usually lowers the calculated payment but extends the time over which interest accrues; a larger principal raises the payment if the other inputs stay fixed.

Enter the loan amount in your currency, the annual interest rate as a percentage, and the term in years. For example, enter 8 for an APR of 8%, not 0.08 or 8 as a decimal fraction. Enter 5 for five years, rather than 60 months. If a lender quotes a monthly rate instead of an annual APR, do not enter it as though it were an APR; establish the correct annual figure and compounding convention from the lender’s disclosure.

EMI is a payment estimate, not a measure of total borrowing cost in every possible contract. Fees, payment dates, variable rates, payment holidays, extra payments and irregular schedules can change actual amounts. Get the relevant rate, charges and repayment terms from the lender rather than treating the example defaults as market figures.

Common Mistakes and Limits

• Mixing up percentages and decimals: the APR input is entered as a percent per year. The formula converts it to a monthly decimal.
• Using months in the years field: this calculator multiplies years by 12. Entering 60 for a 60-month loan would instead represent 60 years and falls outside the input range.
• Assuming EMI includes every charge: the result covers principal and modeled interest only. It does not add fees, insurance or other costs.
• Treating the answer as an exact quote: the result rounds each monthly payment to cents and applies a simplified monthly schedule. A lender’s accrual method, rounding and final-payment adjustment may differ.

The formula is for a fully amortizing loan with a positive, fixed APR and equal monthly instalments. It does not model changing rates, payments made at irregular intervals, balloon payments, fees financed into the loan, or extra principal payments. If those features apply, the calculator’s result may not match the contract schedule.

Frequently Asked Questions

What does EMI mean?
EMI stands for equated monthly instalment. It is a regular payment that, in a standard amortizing loan, covers interest and repayment of principal over the loan term.

How is EMI calculated?
The principal, monthly interest rate and number of monthly payments go into the amortization formula shown above. The calculation assumes the rate and scheduled payment remain constant.

Does EMI include interest?
Yes. Each modeled instalment includes interest and principal repayment, although the split changes over time. This calculator also estimates total interest across the term.

Is APR the same as the monthly interest rate?
No. APR is entered as a yearly percentage here. The formula divides it by 12 to obtain a monthly rate and by 100 to convert the percentage into a decimal.

Why might a lender’s EMI differ from this estimate?
The lender may use different accrual or rounding conventions, include charges in the financed balance, or apply a variable rate or altered payment schedule. Compare the calculator’s assumptions with the lender’s disclosure.

This result is an estimate; the lender’s disclosure gives the exact figures.

Related

• Periodic Interest Rate Formula and Calculator
• Nominal Interest Rate: Meaning and Calculation
• NPS Interest Rate: How Returns Are Calculated

in p | Loan amount | - | 20000 | 1 | 100000000
in apr | Interest rate (APR) | % | 8 | 0.01 | 100
in yrs | Loan term | years | 5 | 0.0833 | 50
out pmt | Monthly EMI | - | round(p * (apr / 1200) / (1 - (1 + apr / 1200) ^ -(yrs * 12)), 2) | 2
out int | Total interest | - | pmt * yrs * 12 - p | 2