EMI (Equated Monthly Instalment) is the fixed monthly amount paid back on a loan. It looks like one number but contains two components — a portion that goes toward interest and a portion that reduces the principal. Understanding how EMI is calculated helps you compare loans and understand why tenure changes your total cost.
The EMI Formula
EMI = P × r × (1 + r)ⁿ ÷ ((1 + r)ⁿ − 1)
Where:
- P = loan amount (principal)
- r = monthly interest rate = (annual rate ÷ 12 ÷ 100)
- n = total number of months
Example Calculation
Loan: Rs 500,000 at 12% annual interest for 3 years (36 months)
- r = 12 ÷ 12 ÷ 100 = 0.01 per month
- n = 36
EMI = 500,000 × 0.01 × (1.01)³⁶ ÷ ((1.01)³⁶ − 1) = 5,000 × 1.4308 ÷ 0.4308 = Rs 16,607 per month (approx.)
Total paid: 16,607 × 36 = Rs 597,852 Total interest: Rs 97,852
How Tenure Affects EMI and Total Interest
Same Rs 500,000 at 12%:
| Tenure | Monthly EMI | Total interest paid |
|---|---|---|
| 1 year | Rs 44,424 | Rs 33,088 |
| 3 years | Rs 16,607 | Rs 97,852 |
| 5 years | Rs 11,122 | Rs 167,320 |
Longer tenure = lower EMI, but more than double the total interest. The total interest on a 5-year loan is five times that on a 1-year loan.
How Rate Affects EMI
Rs 500,000 for 3 years:
| Annual rate | Monthly EMI | Total interest |
|---|---|---|
| 8% | Rs 15,672 | Rs 64,192 |
| 12% | Rs 16,607 | Rs 97,852 |
| 18% | Rs 18,079 | Rs 150,844 |
Use Loan Calculator to compare any combination of amount, rate and tenure. For understanding whether the total cost is worth it — comparing loan costs to investment returns — see how compound interest grows your savings.
Islamic Finance Equivalents
In Pakistan, many borrowers use Islamic banking products (murabaha, diminishing musharaka) rather than conventional interest-bearing loans. The monthly payment structures are similar to EMI in practice — a fixed amount is paid each month — but the underlying mechanics are different (profit on a transaction rather than interest on a loan). The Loan Calculator can be used to model monthly payment amounts for comparison purposes, even when the product is structured as Islamic finance. Confirm the exact payment schedule with the bank or NBFI.
Comparing Multiple Loan Offers
When banks offer different combinations of rate and fees, compare the total repayment (EMI × tenure) rather than just the monthly EMI or just the headline rate. A lower EMI with a longer tenure and higher rate often costs more in total than a slightly higher EMI with a shorter tenure. Loan Calculator computes total repayment for each offer, making the comparison concrete.
