An EMI calculator estimates the fixed monthly instalment needed to repay a loan, using the amount borrowed, annual interest rate, and loan term. Enter those figures to see the monthly payment and the total interest implied by the calculation; results are in your currency.
Formula
For a fixed-rate loan with equal monthly payments, the EMI is calculated using the standard amortizing-loan payment formula:
EMI = P × r ÷ [1 − (1 + r)−n]
- P is the amount borrowed, in your currency.
- r is the monthly interest rate as a decimal: annual APR in percent ÷ 1,200. For an 8% APR, r = 8 ÷ 1,200.
- n is the number of monthly payments: loan term in years × 12.
- EMI is the level monthly payment, in your currency, rounded to two decimal places.
Total interest in this calculator is the rounded monthly EMI multiplied by the number of payments, minus the original principal: Total interest = EMI × n − P. The formula assumes payments are made monthly and the rate stays constant. It does not calculate a lender’s changing-rate schedule.
Worked Example
Using the calculator’s defaults—20,000 in your currency, an 8% annual APR, and a five-year term:
- Convert APR to a monthly decimal rate: r = 8 ÷ 1,200 = 0.0066667.
- Find the number of payments: n = 5 × 12 = 60.
- Substitute in the formula: EMI = 20,000 × 0.0066667 ÷ [1 − (1.0066667)−60].
- The unrounded payment is approximately 405.53; rounded to two decimal places, the monthly EMI is 405.53 in your currency.
- Total of rounded payments = 405.53 × 60 = 24,331.80. Subtract the principal: estimated total interest = 24,331.80 − 20,000 = 4,331.80 in your currency.
Assumptions
- The interest rate is fixed for the full term.
- Payments are equal, made monthly, and treated as on-time payments over the stated term.
- Interest compounds monthly at the annual APR divided by 12.
- Fees, taxes, insurance, PMI, escrow, and other charges are not included.
How to Use and Read the Result
Enter the principal amount you expect to borrow, the annual interest rate quoted for the calculation, and the term in years. The calculator returns an estimated monthly EMI first, followed by total interest over the full term. The total interest uses the displayed, cent-rounded payment, so it may differ slightly from a total calculated with an unrounded payment.
Use the interest rate and term that match the loan details you want to examine. If a lender provides an APR that includes certain borrowing costs, check its disclosure to understand what the figure includes; this calculator does not separately model fees or convert them into an effective rate. A rate entered as 8 means 8%, not 0.08% or 0.08. The calculator converts the percent to a monthly decimal internally.
The result describes the scheduled payment under the formula, not a complete household budget or an approval decision. The amount actually due can differ if the loan has fees, variable rates, irregular payment dates, a final adjusted instalment, or other terms not represented by these inputs. Obtain the applicable rate, payment schedule, and charges from the lender for a loan-specific estimate.
What Changes an EMI?
- Principal: Borrowing a larger amount increases the payment when rate and term stay the same.
- Interest rate: A higher entered rate increases the payment and generally increases total interest.
- Term: Spreading repayment over more months usually lowers the scheduled monthly payment, while the borrower pays interest for longer. The exact totals depend on the rate and the payment schedule.
These relationships are useful for understanding how the inputs affect the arithmetic, but they do not establish whether a particular payment is manageable or whether a lender will approve an application. This calculator does not assess income, expenses, credit information, or lender criteria.
Common Questions and Limits
EMI means equated monthly instalment: a regular payment that, under the fixed-rate model, covers interest accrued for the period and repays part of the principal. Early payments generally contain a larger interest portion than later payments because the outstanding balance declines over time. The total monthly payment remains level in the model.
A common misconception is that the EMI alone tells you the full cost of a loan. It does not: the displayed total interest is based on the entered principal, rate, and term, and excludes fees and other charges. Nor does it show the balance at a particular point in time. For an actual payment schedule or changing-rate loan, use the lender’s amortization details, since the schedule can depend on exact dates, rounding, and contract terms.
APR conventions, compounding, payment timing, and included charges can vary across loan disclosures. This page uses a monthly rate equal to APR divided by 12 and applies it to equal monthly payments. It is general estimate arithmetic, not financial advice; it does not recommend borrowing, choosing a term, or taking any other financial action.
Frequently Asked Questions
How is EMI calculated?
Multiply the principal by the monthly interest rate, then divide by one minus (one plus the monthly rate) raised to the negative number of monthly payments. The calculator converts APR and term into those monthly inputs.
Does a longer loan term reduce the EMI?
For the same principal and rate, a longer term generally lowers the calculated monthly payment by spreading repayment over more instalments. It also means more months of interest in the fixed-rate model.
Does EMI include fees or insurance?
No. This calculation includes principal repayment and interest under its assumptions. Fees, insurance, taxes, PMI, and escrow are not included unless separately reflected in the amount or rate you enter.
Why might my lender’s payment differ?
The lender may use different payment dates, rounding, compounding conventions, variable-rate terms, fees, or a different APR definition. Compare the calculator assumptions with the lender’s disclosed schedule.
Can I use this calculator for any currency?
Yes. The amount and results use the same currency you enter, because the formula is currency-neutral. The page displays no currency symbol, so interpret the values in your currency.
The result is an estimate, and the lender’s disclosure gives the exact figures.
Related
Formula used
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 | - | p * (apr / 1200) / (1 - (1 + apr / 1200) ^ -(yrs * 12)) | 2 out int | Total interest | - | pmt * yrs * 12 - p | 2
Each line is one input (in, sel, list) or one result (out: label, unit, formula, decimals). How the calculators work
Method: the standard loan formula for this calculation, fixed rate and monthly compounding unless stated, rounded as each result states. Not financial advice; no lender, rate or product is recommended. See formulas and assumptions, the disclaimer or report an error.
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