calculate-loan

01 Loan payments

Credit Card EMI Calculation: Formula and Example

Calculator No. 01-10224 · Updated · Formula and assumptions shown below

Monthly EMI 9,168.00
Total of EMI payments
110,016.00
= Monthly emi × emi term
Total interest in EMI payments
10,016.00
= Monthly emi × emi term − amount converted to emi
Amount converted to EMI
100000
Input
You enter
Amount converted to EMI, Interest rate (APR) (%), EMI term (months)
You get
Monthly EMI, Total of EMI payments, Total interest in EMI payments
Rounding
2 dp

Estimate for education, not financial advice. The result follows from the numbers you enter and the formula shown. It is not a quote or an offer, and it does not include fees, taxes or insurance unless the calculator asks for them. Ask your lender for the exact figures.

Credit card EMI is the fixed monthly payment used to repay a purchase or converted balance over a set number of months. Enter the amount, annual interest rate and term to estimate the monthly payment and total interest; your card issuer’s actual offer may also include fees and different terms.

Formula

The calculator uses the standard fixed-payment amortization formula for a balance repaid in equal monthly instalments:

EMI = P × r ÷ [1 − (1 + r)−n]

  • P is the amount converted to EMI, in your currency.
  • r is the monthly interest rate as a decimal: annual APR ÷ 12 ÷ 100.
  • n is the number of monthly payments.
  • EMI is the calculated monthly payment, rounded to two decimal places.

Total EMI payments are the rounded monthly EMI multiplied by the number of months. Estimated interest is that total minus the amount converted. The amount and results are shown in your currency; the calculator does not assume a particular currency.

Worked Example

Using the calculator’s defaults—amount 100,000, APR 18%, and a 12-month term:

  1. Convert the annual percentage rate to a monthly decimal: 18 ÷ 12 ÷ 100 = 0.015.
  2. Substitute the values: EMI = 100,000 × 0.015 ÷ [1 − (1.015)−12].
  3. The unrounded payment is about 9,168.015; rounded to two decimal places, the monthly EMI is 9,168.02.
  4. Total payments, using the rounded EMI: 9,168.02 × 12 = 110,016.24.
  5. Estimated interest: 110,016.24 − 100,000 = 10,016.24.

Assumptions

  • The annual rate stays fixed throughout the repayment term.
  • Payments are equal, made monthly, and treated as payments at the end of each monthly period.
  • Interest is modelled monthly at APR divided by 12; this calculator does not model daily balance calculations.
  • Fees, taxes, other card charges, payment-date effects, promotional terms and changes to the issuer’s rate are not included.

How Credit Card EMI Works

A card EMI is generally a repayment arrangement in which an eligible purchase or balance is separated into scheduled instalments. Depending on the card and offer, an issuer may convert a transaction after purchase or offer instalments at checkout. The precise mechanics are set out in the issuer’s terms, so check what amount is being converted, the applicable rate, the duration, and any charges before relying on an estimate.

While an EMI is being paid, the card account can still have other activity. The EMI amount may appear alongside purchases, fees or other balances, and the account’s payment due may not be limited to the EMI. Paying only the displayed instalment without checking the statement could therefore leave other amounts unpaid. This calculator estimates the converted amount’s fixed-payment schedule, not the entire card bill.

Using the Result and Comparing Costs

The monthly EMI helps show the scheduled payment implied by the inputs. The total-payment and interest figures show the modelled cost across the full term. A longer term usually lowers the payment for the same positive APR and principal, but it also means interest accrues over more monthly periods. The exact effect depends on the rate, term, rounding and issuer’s method.

For a meaningful comparison, use the same converted amount and compare the same set of charges and repayment conditions. Ask the issuer for the total payable, any processing or conversion fees, whether the rate is fixed, how instalments appear on statements, and whether early repayment changes the cost. If a fee is added to the balance or collected separately, this calculator will not include it unless you account for it in the amount entered; doing so changes what the input represents.

Common Calculation Mistakes and Limits

  • Using the annual rate as the monthly rate: For an APR entered as a percentage, divide by 1,200 to get the monthly decimal. For example, 18% APR corresponds to 0.015 per month in this formula, not 18 or 0.18.
  • Mixing months and years: The term field is in months. Enter 12 for one year, not 1.
  • Expecting the statement amount to match exactly: The issuer may use different rounding, dates, balance calculations, fee treatment or payment timing. The example is a mathematical estimate, not a statement forecast.
  • Assuming all card debt is included: The calculation covers only the amount entered as converted to EMI; it does not calculate purchases or other balances left on the account.

The formula assumes a fixed APR and equal monthly payments. It is not designed to model a zero-interest offer, a changing rate, a variable payment schedule, a fee charged outside the balance, or missed and late payments. For an issuer’s actual figures, use its written offer and account disclosure.

Frequently Asked Questions

How do I calculate credit card EMI?
Convert the APR to a monthly decimal by dividing it by 1,200, then use EMI = P × r ÷ [1 − (1 + r)−n], where P is the converted amount and n is the number of monthly payments.

Is credit card EMI calculated on the full card balance?
Not necessarily. It is calculated on the amount the issuer agrees to convert. Other purchases, charges or balances may remain outside that arrangement and can affect the amount due on your statement.

Does a longer EMI term reduce the monthly payment?
For the same amount and positive fixed APR, a longer term generally reduces each scheduled payment because repayment is spread over more months. The total interest can increase because the balance is repaid over a longer period.

Are processing fees included in this EMI calculation?
No. The calculator includes only the entered amount, APR and term. Check the issuer’s offer for fees and whether they are added to the converted balance or billed separately.

Why is my actual EMI different from this result?
An issuer may use a different interest calculation, rounding convention, payment date or fee treatment. Compare the calculator’s assumptions with the offer and statement details.

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

Related

Formula used
in amt | Amount converted to EMI | - | 100000 | 1 | 100000000
in apr | Interest rate (APR) | % | 18 | 0.01 | 100
in mos | EMI term | months | 12 | 1 | 600
out pmt | Monthly EMI | - | round(amt * (apr / 1200) / (1 - (1 + apr / 1200) ^ -mos), 2) | 2
out tot | Total of EMI payments | - | pmt * mos | 2
out int | Total interest in EMI payments | - | pmt * mos - amt | 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.

More in this section

The whole Loan payments section →