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How Loan EMI Is Calculated: Flat vs Reducing Rate

Published · 6 min read · By the Sahulat Tools team

EMI (equated monthly instalment) is the fixed amount you pay every month on a car loan, home loan, personal loan or instalment plan. Two loans with the same "12%" can have very different EMIs, depending on whether the rate is flat or reducing. This guide explains the difference with real numbers, so you can compare offers properly.

The EMI formula

For a normal (reducing balance) loan, banks use this formula:

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

  • P = the loan amount (principal)
  • r = the monthly interest rate = annual rate ÷ 12 ÷ 100 (12% a year = 0.01 a month)
  • n = the number of monthly instalments

For a loan of Rs 1,000,000 at 12% for 5 years (60 months), the EMI is Rs 22,244, and you repay Rs 1,334,667 in total, of which Rs 334,667 is interest.

Why early instalments are mostly interest

Each month, interest is charged only on the amount you still owe. At the start you owe the most, so most of the EMI goes to interest. In the example above, the first instalment is Rs 10,000 interest and Rs 12,244 principal; the last one is only Rs 220 interest and Rs 22,024 principal. That is why paying extra early in the loan saves the most.

Flat rate vs reducing rate

With a flat rate, interest is calculated on the full original amount for the whole period, even though you pay the loan back month by month. Some instalment sellers, car dealers and informal lenders quote flat rates because the number looks smaller.

Rs 1,000,000 borrowed for 5 years.
Reducing rate 12%Flat rate 12%
Monthly instalmentRs 22,244Rs 26,667
Total interestRs 334,667Rs 600,000
Total repaidRs 1,334,667Rs 1,600,000
Real (reducing) rate12%about 20.3%

How the loan period changes the EMI

Rs 1,000,000 at 12% reducing.
PeriodMonthly EMITotal interest
1 yearRs 88,849Rs 66,185
3 yearsRs 33,214Rs 195,715
5 yearsRs 22,244Rs 334,667
7 yearsRs 17,653Rs 482,830

A longer period lowers the monthly payment but increases the total interest a lot. Choose the shortest period you can comfortably afford.

Tips to pay less

  • Compare the total repaid, not only the EMI. Add processing fees, insurance and other charges.
  • Make a bigger down payment on a car or house; every rupee you don't borrow saves interest for the whole period.
  • Prepay when you can, but check the prepayment or early settlement charges first.
  • Watch variable rates. Many loans in Pakistan are linked to KIBOR and the EMI changes when interest rates change.

Islamic financing (such as Ijarah for cars or diminishing Musharakah for homes) works through rent or a share in the asset rather than interest. The monthly payments are often calculated with similar formulas, but the contract is different. If this matters to you, ask the bank's Shariah department how the product works.

Frequently asked questions

›What is the EMI on a 10 lakh loan at 12% for 5 years?

About Rs 22,244 a month on a reducing balance. Over 5 years you repay about Rs 1,334,667, of which about Rs 334,667 is interest.

›Is a flat interest rate better than a reducing rate?

No. At the same quoted percentage, a flat rate costs much more because interest is charged on the full loan for the whole period. A 12% flat rate over 5 years is roughly a 20% reducing rate.

›Does paying extra reduce my EMI?

It reduces what you owe. Depending on the bank, a prepayment either lowers your EMI or shortens the loan. Either way you pay less interest overall.

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