Personal Loan EMI Formula and Monthly Payment Calculator

Use this personal loan EMI calculator to estimate the fixed monthly payment from a loan amount, annual interest rate and repayment term. Enter those three figures to see the monthly EMI and estimated total interest, using the standard reducing-balance formula.

Formula

The standard EMI formula for a fixed-rate loan with equal monthly payments is:

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

Equivalently, EMI = P × r ÷ [1 − (1 + r)⁻ⁿ]. The calculator uses the second form and rounds the payment to two decimal places.

• P is the principal, or amount borrowed, in your currency.
• r is the monthly interest rate as a decimal. For an annual rate entered as a percentage, r = APR ÷ 1200. For example, 8% per year gives a monthly rate of 8 ÷ 1200.
• n is the total number of monthly payments: loan term in years × 12.
• EMI is the equal monthly instalment, in your currency.

“Reducing balance” means interest for each period is calculated on the outstanding principal, which generally falls as payments are made. This is different from calculating interest on the original principal for the whole term. The formula presumes a fixed rate and equal, regularly timed payments.

Worked Example

Using the calculator’s defaults: principal P = 20,000 in your currency, APR = 8%, and term = 5 years.

1. Convert the annual percentage rate to a monthly decimal rate: r = 8 ÷ 1200 = 0.0066666667.
2. Find the payment count: n = 5 × 12 = 60 months.
3. Substitute into the formula: EMI = 20,000 × 0.0066666667 ÷ [1 − (1 + 0.0066666667)⁻⁶⁰].
4. The unrounded result is approximately 405.527; rounded to two decimal places, the monthly EMI is 405.53 in your currency.
5. Total of the rounded scheduled payments = 405.53 × 60 = 24,331.80. Estimated total interest = 24,331.80 − 20,000 = 4,331.80 in your currency.

Assumptions

• The interest rate stays fixed for the full term.
• Payments are equal, made monthly and on schedule; the model does not account for a different first-payment date.
• Interest is modelled monthly at APR ÷ 12, with the APR entered as a percentage.
• The calculation excludes fees, taxes, insurance, payment protection and other charges because they are not inputs. If a lender finances a fee, it may affect the principal used in the lender’s schedule.

How to Read the Results

The first result is the estimated recurring EMI. The second is the total interest implied by making that rounded payment for every month in the stated term. The total of payments is therefore principal plus the displayed interest, subject to the assumptions above.

In a typical amortizing schedule, each payment covers interest due for that period and reduces some principal. Early payments can contain a larger interest share than later payments because the balance is then higher. The monthly payment itself remains level in this model, while its principal-and-interest split changes over time.

The calculator rounds the EMI to the smallest displayed currency unit before multiplying it by the number of payments. A lender’s final instalment may differ slightly because real schedules can use exact dates, daily interest, different rounding rules or an adjusted final payment.

When the Formula Applies—and Its Limits

This formula is useful for a preliminary estimate when you know the principal, annual percentage rate and term and the loan is repaid in equal monthly instalments at a fixed rate. It can also help explain how the three inputs interact: holding the other inputs constant, a larger principal raises the payment; a higher rate raises the payment; and spreading repayment over more months usually lowers each payment while increasing the number of payments and often the overall interest paid.

The calculation is not a quote, approval result or complete cost-of-credit figure. The stated APR may not describe every charge in the same way across loan offers, and the calculator cannot include costs that have not been entered. A variable rate, missed or extra payments, a payment holiday, a changed term, or a fee added to the balance can also make the actual schedule differ.

Common Mistakes

• Using 8 instead of 0.08 in the formula. This calculator accepts APR as a percentage and converts it by dividing by 1200. If doing the calculation manually, use a decimal monthly rate: 8% annually becomes 0.0066667 per month.
• Confusing years and months. The term field is in years; multiply it by 12 to get the number of monthly payments. Entering 60 as years instead of months would describe a very different term.
• Treating total interest as the total repayment. Total repayment includes returned principal as well as interest. Here, total interest is the rounded monthly EMI multiplied by the payment count, less the principal.
• Assuming the estimate includes every charge. Fees and other costs are omitted unless modelled separately. Check the lender’s repayment schedule and disclosure for the figures applicable to a specific offer.

Frequently Asked Questions

What does EMI mean?
EMI means equated monthly instalment: a level scheduled payment for a loan repaid monthly. In a standard amortizing loan, each instalment covers interest and repayment of principal, with the proportions changing over time.

How do I calculate a personal loan EMI manually?
Convert the annual rate to a monthly decimal by dividing the APR percentage by 1200, convert the term to months, then use EMI = P × r ÷ [1 − (1 + r)⁻ⁿ]. Round the resulting payment to the currency’s relevant precision.

Does a longer loan term reduce the EMI?
For the same principal and rate under this formula, a longer term generally lowers each monthly payment because repayment is spread across more months. It also means more scheduled payments, so compare total repayment as well as the EMI.

Is EMI the same as interest?
No. EMI is the full monthly payment, including principal repayment and interest. Total interest is the interest portion accumulated over the repayment schedule; it is not the same as the sum of all instalments.

Why might a lender’s EMI differ from this estimate?
The lender may use a different rate convention, payment date, rounding method or final-payment adjustment, and may include financed charges or other terms. Use the lender’s disclosed schedule for the exact figures.

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

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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