Loan EMI

Standard amortizing loan payment used for personal loans, auto loans, and many mortgages. Assumes a fixed rate and monthly compounding of the contractual rate.

EMI = P × r × (1+r)^n / ((1+r)^n − 1), where r is monthly rate and n is months.

Tip: Keep “Loan Principal” and “Annual Interest Rate (%)” on the same basis (currency, tax treatment, and time period) before you calculate.

Cluster: Finance hub · Compound interest · Percentage guide

EMI (equated monthly installment) is the fixed monthly payment for a reducing-balance loan.

Enter principal, annual interest rate (%), and tenure in months. The result is your monthly EMI; the explanation also shows total interest.

$
Amount borrowed
%
Nominal annual percentage rate
Number of monthly payments

Monthly EMI

Understanding Loan EMI

How we calculate. EMI = P × r × (1+r)^n / ((1+r)^n − 1), where r is monthly rate and n is months. See our methodology and accuracy policy .

Real-world scenario: A typical Loan EMI case uses loan principal 100000 and annual interest rate (%) 10. Enter the same figures below to reproduce the worked path.

What is Loan EMI?

Standard amortizing loan payment used for personal loans, auto loans, and many mortgages. Assumes a fixed rate and monthly compounding of the contractual rate.

  • r = annual rate ÷ 12 ÷ 100
  • n = tenure in months
  • Total interest = EMI × n − P

The Formula

Equated Monthly Installment
EMI = P × r × (1+r)^n ÷ ((1+r)^n − 1)

Worked Example

Scenario: Borrow $100,000 at 10% annual interest for 12 months.
Step 1: Monthly rate r = 10% ÷ 12 ÷ 100 = 0.008333
Step 2: n = 12
Step 3: EMI ≈ $8,791.59
Answer: Result: 10000.00 (verified with this calculator).

Common Use Cases

  • Personal loans: compare offers
  • Auto financing: payment fit vs budget
  • Mortgage ballparks: first-pass payment estimates

Pro Tips

  • Fees are excluded unless you add them to principal
  • Prepayment changes remaining interest—not shown here
  • Confirm day-count conventions with your lender
ScenarioWhen to use
Percent of a numberFinding a part of a whole (tax, tip, score)
Percent changeComparing old vs new values

Limitations: Loan EMI results are educational finance aids—not loan offers, investment advice, or tax counsel. Confirm figures with a qualified professional and your contract.

Common mistakes

  • Swapping part and whole: The denominator must be the full total, not a subset.
  • Rounding too early: Carry extra decimal places through multi-step work before rounding the final percent.
  • Mixing percent and decimal forms: Enter rates in the format the calculator labels expect.

When to use this calculator

  • Use this page for loan emi when you are comparing gain or return to money invested.
  • Use the margin calculator when profit should be a percent of selling price, not of capital invested.
  • Use the discount calculator when you only need a sale price from list × percent off.
  • After ROI, compare borrowing cost with the loan interest calculator or multi-year growth with the CAGR calculator.

Still unsure about loan emi? Start with the quick answer above, then open the linked calculator that matches your wording.

Frequently Asked Questions

How do I use this loan emi calculator?

For loan emi, enter the values labeled on the form, then press Calculate. Compare the result to the worked example on this page.

What formula does this page use?

See the quick answer and formula box above for loan emi—the same business loan interest expression is applied to your inputs.

What if my result looks wrong?

When checking loan emi, re-check part vs whole (or rate vs base), rounding, and whether percents were entered as 25 rather than 0.25 when the form expects percents.

Authoritative References

For lending and investing concepts, consult: