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Loans and EMI

How EMI is calculated: formula, worked example and flat vs reducing rates

The EMI formula with a worked example, how interest is split from principal, and why a flat rate costs more than a reducing-balance rate.

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An EMI is a fixed monthly payment. Early payments are mostly interest, later ones mostly principal.

The formula

EMI = P x r x (1 + r)^n / ((1 + r)^n - 1)

  • P is the loan amount.
  • r is the monthly interest rate: the annual rate divided by 12, as a decimal.
  • n is the number of monthly payments.

Worked example

Borrow 100,000 at 12% a year for 12 months.

  • r = 12% / 12 = 0.01
  • (1.01)^12 = 1.126825
  • EMI = 100,000 x 0.01 x 1.126825 / 0.126825 = about 8,884.88
  • Total paid = 8,884.88 x 12 = about 106,618.60
  • Interest paid = about 6,618.60

Flat versus reducing balance

A flat 12% a year on 100,000 would add 12,000 over a year, giving a total of 112,000, even though you repay a part of the loan every month. The same 12% on a reducing balance costs only about 6,619. Always ask which one an offer uses, and compare the total amount repayable.

Before you borrow

  1. Compare the total cost, not just the monthly figure.
  2. Add fees such as processing, late and early-repayment charges.
  3. Only borrow what your budget can repay. Late payments add penalties.
  4. Use licensed lenders and avoid anyone asking for an upfront fee to approve a loan.

A loan calculator app can show different scenarios, but it is only a guide. Your lender’s written terms are what count. See how to check benefit and loan information.

Frequently asked questions

What is EMI?

Equated Monthly Instalment, a fixed monthly payment that covers both principal and interest over the loan term.

Is a flat rate the same as a reducing-balance rate?

No. A flat rate charges interest on the original amount for the whole term. A reducing-balance rate charges interest on what you still owe, so the same quoted number costs less.

What is a processing fee?

A one-time charge many lenders add. Include it when comparing offers.

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