Calculate Personal Loan EMI: Formula and Example

Calculate a personal loan EMI by entering the amount borrowed, annual interest rate (APR), and term in years; this calculator estimates the fixed monthly payment and total interest. Its figures assume monthly payments at a fixed rate and do not include lender fees or other charges.

Formula

The standard fixed-payment loan formula calculates the monthly payment, often called an EMI (equated monthly instalment):

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 ÷ 12 ÷ 100. In the calculator, this is apr / 1200.
• n is the number of monthly payments: loan term in years × 12.

The calculator rounds the monthly EMI to two decimal places, then estimates total interest as rounded EMI × number of payments − principal. The calculator’s currency unit is shown as “-” because the currency depends on what you enter; all money values are in your currency.

Worked Example

Using the calculator’s defaults—principal 20,000, APR 8%, and term 5 years:

1. Convert the annual rate to a monthly decimal: 8 ÷ 1,200 = 0.0066666667.
2. Find the number of monthly payments: 5 × 12 = 60.
3. Substitute into the formula: 20,000 × 0.0066666667 ÷ [1 − (1.0066666667)⁻⁶⁰].
4. The unrounded result is about 405.53; rounded to two decimal places, the monthly EMI is 405.53.
5. Estimated total interest is 405.53 × 60 − 20,000 = 4,331.80.

These are estimates in your currency. The displayed total interest uses the rounded monthly payment, so it may differ slightly from a calculation that carries extra decimal places throughout.

Assumptions

• The interest rate stays fixed for the full term.
• Payments are equal, made monthly, and treated as occurring at the end of each payment period.
• Interest accrues monthly at APR ÷ 12, with the APR entered as a percentage.
• Fees, taxes, insurance, and other charges are not included. The calculator also does not model payment dates, late payments, or changes to the loan.

How to Use and Read the Estimate

Enter the principal amount—not the total amount you expect to repay—along with the APR and the term in years. The APR must be entered as a percentage: enter 8 for 8%, not 0.08. The term must be in years; for example, enter 3 for a three-year loan. The calculator converts years to months automatically.

The first result is the estimated fixed monthly EMI. The second is estimated interest over the whole term, calculated from the rounded payment. Adding principal and interest gives the estimated total of scheduled payments, provided all payments are made as assumed. A longer term generally spreads repayment across more instalments and changes both the monthly payment and total interest; the exact values depend on the inputs.

Use the lender’s quoted APR and loan amount when available. Ask whether the amount financed includes any charges, and check the lender’s repayment schedule for the actual instalment, payment dates, and total repayment. If the lender quotes a nominal interest rate rather than an APR, or uses a different compounding or payment convention, this calculator’s estimate may not match its schedule.

What Changes a Personal Loan EMI?

• Principal: A larger amount borrowed raises the payment when rate and term are unchanged.
• APR: A higher rate raises the payment and generally increases the total interest for the same amount and term.
• Term: More monthly payments can lower the calculated instalment, but interest accrues over more periods. Compare both the payment and total interest rather than looking at the EMI alone.
• Fees and repayment details: Origination or other charges, irregular payment dates, and lender-specific rounding can affect the amount due or total cost, but are not inputs here.

For a simple comparison, change one input at a time and keep the other two fixed. This shows how that variable changes the arithmetic; it does not assess eligibility, suitability, or affordability.

Common Calculation Mistakes and Limits

A frequent error is mixing annual and monthly rates. The formula needs the monthly decimal rate, not an annual percentage entered directly as a decimal. Another is using months in the years field: a 60-month term is 5 years, not 60 years. Check that the amount, rate, and term are in the stated units before interpreting the result.

This formula describes a fully amortizing loan with equal payments and a fixed periodic rate. It does not calculate a variable-rate payment, a balloon payment, a changing instalment, or an early-payoff balance. Small differences from a lender’s figures can arise from daily interest calculations, exact due dates, fees added to the balance, or rounding rules. Obtain the lender’s repayment schedule for the contractual figures.

Frequently Asked Questions

How do I calculate EMI manually?
Convert APR to a monthly decimal by dividing by 1,200, and convert the term to months by multiplying years by 12. Substitute those values and the principal into the EMI formula shown above.

Is EMI the same as principal repayment?
No. A scheduled EMI includes interest and repayment of principal. In a standard amortizing loan, the interest portion is larger earlier in the schedule, while the principal portion grows as the outstanding balance falls.

Does a longer loan term reduce total interest?
Not necessarily. A longer term often lowers the monthly payment for the same principal and rate, but interest is charged over more payment periods, so the total interest can be higher.

Why does my lender’s EMI differ from this estimate?
The lender may use different payment dates, daily interest accrual, fees, a different rate definition, or different rounding. Compare the calculator’s assumptions with the lender’s disclosed repayment schedule.

Does this estimate include processing fees?
No. Entering a fee as part of the principal would change the arithmetic, but this calculator does not identify or calculate fees. Check the lender’s disclosure for charges and the amount actually financed.

This result is an estimate; 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