EMI Calculator: See How Your Monthly Payment Grows

An EMI calculator shows how a loan’s equated monthly instalment changes when you change the loan amount, annual interest rate or repayment term. Enter those three figures to estimate the monthly payment and total interest; a longer term can reduce the EMI while increasing total interest.

Formula

For a fixed-rate loan with equal monthly payments, the EMI is calculated using the amortizing-loan formula:

EMI = round[P × r ÷ (1 − (1 + r)⁻ⁿ), 2]

• P is the amount borrowed, in your currency.
• apr is the annual percentage rate entered as a percentage per year.
• r = apr ÷ 1200 is the monthly interest rate as a decimal.
• n = 12 × years is the number of monthly payments.
• EMI is the monthly payment, in your currency, rounded to two decimal places.

The total-interest estimate is EMI × n − P. It uses the rounded monthly EMI, so the displayed total follows the calculator’s payment rounding. The calculation treats the stated APR as a nominal annual rate divided into monthly periods.

Worked Example

Using the defaults—loan amount 20,000 in your currency, APR 8%, and a five-year term:

1. Convert the APR to a monthly decimal rate: r = 8 ÷ 1200 = 0.0066667.
2. Count the payments: n = 5 × 12 = 60.
3. Substitute into the formula: 20,000 × 0.0066667 ÷ [1 − (1.0066667)⁻⁶⁰].
4. Round the monthly payment to two decimal places: EMI = 405.53.
5. Calculate estimated total interest using that rounded payment: 405.53 × 60 − 20,000 = 4,331.80.

So the example estimates a monthly EMI of 405.53 in your currency and total interest of 4,331.80 in your currency. Actual schedules can differ slightly because of payment dates, rounding conventions or loan charges.

Assumptions

• The interest rate stays fixed for the full repayment term.
• Payments are equal, made monthly, and assumed to arrive at the end of each monthly period.
• Interest is modelled monthly at APR divided by 12.
• The estimate excludes fees, taxes, insurance, PMI and escrow. No such charges are included as calculator inputs.

How EMI Changes When Inputs Change

The EMI depends on the borrowed amount, the rate and the number of payments. Increasing the principal raises the payment when the other inputs stay unchanged. Increasing the APR generally raises both the monthly payment and total interest. Extending the term spreads repayment over more months, which generally lowers the monthly EMI but means interest accrues for longer.

For a simple comparison, keep two inputs identical and change only the third. For example, compare two terms using the same principal and APR. Read both the EMI and total-interest output: a smaller monthly figure alone does not show the full cost of repaying over time. This calculator does not select a loan or determine whether any payment fits a person’s budget.

How to Use and Read the Estimate

Enter the loan principal, the annual APR supplied for the loan, and the repayment term in years. The calculator converts years to months and APR to a monthly rate. Its first result is the estimated monthly EMI; the second is the sum of those rounded payments minus the original principal.

Use the APR and term that match the loan figures you are examining. If a lender provides a payment schedule or an exact monthly payment, those disclosed figures may reflect details this simplified calculation does not model. A quoted rate may also be variable, in which case a fixed-rate estimate cannot show future payment changes.

Common Mistakes and Limits

• Entering the rate in the wrong format: enter 8 for 8%, not 0.08. The calculator divides the entered percent by 1200 to get the monthly decimal rate.
• Mixing years and months: the term input is years. A five-year term represents 60 monthly payments, not five payments.
• Comparing EMI without total interest: a longer term can make the instalment lower while increasing the overall interest estimate.
• Treating the result as a lender quote: the model omits fees and other charges, and its timing and rounding assumptions may not match a contract.
• Assuming a changing rate stays fixed: the formula cannot project a variable rate or changes to payment terms.

The formula also assumes regular, level payments that fully repay principal and interest over the stated term. It does not represent an interest-only period, irregular payment dates, skipped payments, extra principal payments, or a final balloon payment. For an actual loan, use the lender’s stated payment schedule and figures.

Frequently Asked Questions

Does EMI increase when the loan term increases?
Usually, no: with principal and rate unchanged, a longer term generally lowers the monthly EMI because repayment is spread across more instalments. It can increase total interest because the balance is outstanding for longer.

Does EMI increase when the interest rate rises?
For the same principal and term, a higher fixed rate generally produces a higher EMI and higher total interest. The calculator assumes the rate remains unchanged throughout the term.

What does EMI mean?
EMI means equated monthly instalment: a level monthly payment calculated to cover interest and repay principal over a specified term. The split between interest and principal changes as the balance is paid down.

Why might my lender’s EMI differ from this result?
A lender’s figure may include charges or use different payment dates, rounding, rate conventions or loan terms. Compare the inputs and assumptions, and refer to the lender’s disclosure for the contractual figures.

Is EMI the same as total interest?
No. EMI is the amount paid each month. Total interest is the estimated amount paid above the borrowed principal across all instalments, under the calculator’s assumptions.

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

Related

• Periodic Interest Rate Formula in Excel
• Periodic Interest vs Daily Interest: How They Differ
• NSC Interest Rate: Current Rate and How It Works

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