EMI Calculator: Estimate Your Monthly Loan Payment

An EMI calculator estimates your fixed monthly loan payment from the amount borrowed, annual interest rate, and repayment term. Enter those three figures to see the monthly instalment and estimated total interest, expressed in your currency.

Formula

For a fixed-rate loan repaid in equal monthly instalments, the EMI is calculated as:

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

• P is the principal, or amount borrowed, in your currency.
• r is the monthly interest rate as a decimal: annual APR ÷ 12 ÷ 100.
• n is the total number of monthly payments: loan term in years × 12.
• EMI is the monthly payment in your currency. This calculator rounds it to two decimal places.

The displayed total interest is the sum of the rounded monthly payments over the full term minus the original principal: total interest = EMI × n − P. This convention makes the total match the payment shown, although actual lender schedules can differ slightly because of payment dates, rounding practices, and final-payment adjustments.

Worked Example

Using the calculator’s default values—principal 20,000 in your currency, APR 8%, and a five-year term:

1. Convert the annual APR to a monthly decimal rate: 8 ÷ 1,200 = 0.0066667.
2. Find the number of monthly payments: 5 × 12 = 60.
3. Substitute into the formula: EMI = 20,000 × 0.0066667 × (1.0066667)⁶⁰ ÷ [(1.0066667)⁶⁰ − 1].
4. The unrounded payment is approximately 405.528. Rounded to two decimal places, the estimated monthly EMI is 405.53 in your currency.
5. Total paid using that rounded payment is 405.53 × 60 = 24,331.80. Estimated total interest is 24,331.80 − 20,000 = 4,331.80 in your currency.

Assumptions

• The interest rate stays fixed for the entire repayment term.
• Payments are equal, made monthly, and begin one month after the loan starts.
• Interest compounds monthly at APR ÷ 12.
• The estimate excludes fees, taxes, insurance, PMI, and escrow; none of these is an input in this calculator.

How to Use and Read an EMI Calculator

Enter the principal you expect to borrow, the annual rate quoted for the loan, and the complete repayment term in years. The payment result is a mathematical estimate of the recurring instalment under the assumptions above. Total interest estimates the financing cost over all scheduled payments; it is separate from the principal, which is the amount borrowed.

Use the same currency for the principal and both monetary results. The calculator does not convert currencies, and it does not need to: the payment and interest remain in whatever currency you enter. The rate, however, must be entered as an annual percentage, not as a decimal or a monthly rate. For example, enter 8 for an 8% annual APR—not 0.08 or 0.6667.

For a real quote, use the rate and term provided by the lender and check whether the quoted rate is fixed or variable and whether it is an APR or another rate measure. APR may incorporate certain borrowing costs depending on how it is calculated and disclosed, but this calculator applies the input as a nominal annual rate divided into twelve monthly periods. It cannot reproduce a lender’s full disclosure unless all relevant charges and calculation rules are represented.

What Changes the Monthly EMI?

For the same principal and rate, a longer term generally lowers each scheduled payment because repayment is spread across more months. It also usually increases the total interest in this fixed-payment model, since the balance is outstanding for longer. A shorter term generally raises the monthly amount while reducing the number of payments. These are arithmetic effects, not a recommendation about which term to use.

• Principal: Increasing the borrowed amount increases the payment and, all else equal, the interest paid.
• APR: A higher input rate increases the payment and the interest calculated by the formula.
• Term: Changing the number of months changes both the monthly amount and cumulative interest.
• Rounding: Payments are rounded to cents here; a lender may adjust a final instalment to clear a small remaining balance.

For example, the worked example’s 60 payments of 405.53 total 24,331.80. That total is not the monthly EMI; it is the sum of the estimated instalments. Subtracting the 20,000 principal gives the calculator’s interest estimate of 4,331.80.

Common Mistakes and Limits

A frequent error is entering the loan term in months when this calculator asks for years. A five-year term should be entered as 5; the formula converts it to 60 monthly payments. Another is entering a monthly rate into the APR field, which would make the calculated rate twelve times larger than intended if the monthly percentage is entered as though it were annual.

The standard EMI formula applies to equal monthly payments on a fixed-rate, fully amortizing loan. It does not model a changing rate, irregular payment dates, a balloon payment, skipped payments, fees added to the balance, or extra principal payments. Actual payment schedules can also depend on the lender’s day-count method and rounding. Compare the estimate with the payment schedule and disclosures supplied for the specific loan.

At very low rates, the payment approaches the principal divided by the number of months, but the calculator requires an APR of at least 0.01% because its formula divides by the monthly rate. The displayed figures are rounded estimates, not a payoff statement or a promise of the exact amount a lender will collect.

Frequently Asked Questions

What does EMI mean?
EMI means equated monthly instalment: a scheduled monthly payment that, in a fixed-rate amortizing loan, combines interest and repayment of principal. The proportion going to each changes over time even when the payment stays level.

How is EMI calculated?
Convert the annual percentage rate to a monthly decimal rate, count the monthly payments, and apply the fixed-payment formula shown above. The result is rounded to two decimal places in this calculator.

Does EMI include interest?
Yes. Each scheduled payment includes interest for that period and an amount that reduces principal. The calculator’s total-interest figure estimates all interest across the term; it is not an extra monthly charge on top of the EMI.

Why can a lender’s EMI differ from this estimate?
The lender may use different payment dates, rounding, rate conventions, fees, or a variable-rate schedule. Check the loan’s repayment schedule and disclosure for its exact figures.

Does a longer loan term reduce total interest?
Not in this fixed-rate, equal-payment model when the principal and APR stay the same. A longer term generally reduces the scheduled monthly payment but increases the number of months interest is calculated.

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

Related

• TD Interest Rate: How to Check and Compare Rates
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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