EMI Calculator

Intro

Estimate the fixed monthly instalment on an amortizing loan from principal, nominal annual rate and repayment term. Understand both monthly affordability and the total principal-plus-interest estimate, not just the headline rate.

An equated monthly instalment, or EMI, is the regular payment normally used to repay an amortizing loan. This estimate is useful when comparing borrowing amounts, interest rates and loan terms, but it describes a mathematical repayment pattern rather than a lender’s binding quotation. Check the actual product terms before accepting a loan.

The amount borrowed is the principal. A larger principal usually increases the monthly payment, while a longer term may lower each instalment but increase total interest. A fixed monthly payment does not mean the interest portion remains fixed. The proportion paying down principal normally grows as the outstanding balance falls.

About this result

How to use

Formula

The calculation and its assumptions

Monthly rate r = annual percentage ÷ 1200; payment count n = number of months. For r > 0, EMI = P × r ÷ [1 − (1 + r)^(−n)]. For r = 0, EMI = P ÷ n. Total scheduled principal-and-interest payments = EMI × n; estimated interest = that total − P. The model assumes a fully amortizing, fixed-rate schedule.

For important decisions, verify source figures and any applicable terms independently.

For a standard fixed-rate reducing-balance loan the monthly EMI is P × r × (1+r)^n divided by ((1+r)^n − 1). P denotes the initial principal, r the periodic monthly interest rate expressed as a decimal and n the number of monthly payments. This formula assumes equal payments at regular intervals.

If the quoted nominal annual rate is 8%, the corresponding simple monthly rate for this model is 0.08 ÷ 12, not 8 or 0.08 by itself. For a two-year monthly loan n is 24, whereas a 12-month loan uses n equal to 12. Confirm that the lender uses this same interest convention.

Worked example

Worked examples

For principal 100,000, nominal annual interest 12% and 12 months, r = 0.01 and n = 12. EMI = 100,000 × 0.01 ÷ [1 − (1.01)^(−12)] ≈ 8,884.88 per month. Twelve unrounded payments total about 106,618.55, including about 6,618.55 interest. At 0% for 10 months, a principal of 50,000 produces 5,000 per month.

Consider a hypothetical loan of 100,000 currency units at a nominal annual rate of 8% over 12 monthly payments. Set P = 100000, r = 0.08 ÷ 12 and n = 12. The standard reducing-balance expression gives a monthly principal-and-interest payment of approximately 8,698.84 units.

Multiplying the unrounded payment by 12 gives total scheduled payments of approximately 104,386.11 units, so the modelled interest cost is approximately 4,386.11 units. A lender may round each instalment and change the final one slightly. These numbers deliberately exclude fees, taxes and insurance.

Now keep the same loan amount and rate but lengthen the term to 24 months. The estimated monthly payment becomes approximately 4,522.73 units; scheduled interest rises to about 8,545.50 units. Lower monthly cash pressure does not mean a lower total cost. Compare the alternatives with your available monthly budget.

Understand the calculation

What the answer means

A level-payment loan divides repayment into equal scheduled amounts even though the interest and principal shares change each month. At the beginning, interest is calculated on a larger outstanding balance. Later payments tend to repay more principal. The output is an illustrative mathematical result, not a binding loan offer or a statement of the true annual percentage rate.

Enter and check the inputs

Enter the borrowed principal, a nominal annual interest percentage and the term in months. Verify whether a quoted lender rate is fixed or variable and whether the lender actually uses monthly compounding. Compare the estimated monthly amount with your cash-flow capacity, but also review the total repaid and the financing costs excluded from this model.

How to interpret the output

A lower monthly instalment can result from a longer repayment term while increasing the overall interest paid. The estimate covers principal and modelled interest only; it is not an APR, lender quotation, credit-eligibility assessment or assessment of future rate changes. Compare the full repayment schedule rather than using the EMI alone.

Limits and edge cases

Origination charges, insurance, taxes, penalties, optional add-ons, balloon payments, rate changes and prepayments are not modelled. A lender may use different day-count rules, payment dates or rounding conventions, so its schedule can differ slightly. Financial decisions require the actual offer documents and, where useful, qualified advice.

Common mistakes to avoid

Confusing a nominal annual rate with an annual percentage rate including fees.
Entering a term in years when the field expects months.
Judging affordability from the monthly instalment without considering the total cost.

Practical cross-check

To cross-check, request an amortization schedule from the lender. Verify the nominal versus effective interest convention, the number of repayments, fees and total repayment amount. Confirm that the first payment timing and outstanding balance treatment match the calculator’s assumptions.

For important decisions, verify source figures and any applicable terms independently.

When reviewing several lender offers, keep the principal and number of months identical before comparing the quoted interest rates. Add separate fees beside the estimated instalment rather than hiding them.

Questions

What formula is used for the monthly instalment?

What is the instalment on 100,000 at 12% for 12 months?

Is the EMI the total borrowing cost?

Does the estimate include lender fees?

What if the annual interest rate is zero?

At 0% annual interest, divide the principal by the number of months: 50,000 over 10 months means 5,000 per month.