Home Back

Loan Interest Calculator Based on Monthly Payment

Loan Interest Formula:

\[ r = \left( \frac{EMI \times n}{P} - 1 \right)^{\frac{1}{n}} - 1 \]

months

Unit Converter ▲

Unit Converter ▼

From: To:

1. What is the Loan Interest Calculator?

The Loan Interest Calculator Based on Monthly Payment calculates the monthly and annual interest rates when you know your EMI (Equated Monthly Installment), principal loan amount, and loan term. This helps you understand the true cost of your loan.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ r = \left( \frac{EMI \times n}{P} - 1 \right)^{\frac{1}{n}} - 1 \]

Where:

Explanation: This formula rearranges the standard EMI calculation to solve for the interest rate when the other variables are known.

3. Importance of Interest Rate Calculation

Details: Knowing the effective interest rate helps borrowers compare different loan offers, understand the true cost of borrowing, and make informed financial decisions.

4. Using the Calculator

Tips: Enter your monthly EMI payment, the original loan amount (principal), and the total number of monthly payments (loan term). All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: Why calculate interest rate from EMI?
A: Lenders sometimes advertise low rates but charge higher effective rates through fees. This calculation reveals the true interest cost.

Q2: What if my EMI seems too low for the calculation?
A: If EMI × term ≤ principal, the calculation becomes invalid as it suggests zero or negative interest, which typically indicates input error.

Q3: Does this work for all types of loans?
A: This formula works for standard amortizing loans with fixed monthly payments. It may not apply to balloon payments or variable rate loans.

Q4: Why are there two interest rates shown?
A: The calculator shows both the monthly rate and the annualized rate (monthly rate × 12) for better comparison with advertised rates.

Q5: How accurate is this calculation?
A: The calculation is mathematically precise for the given inputs, assuming no additional fees or charges beyond the stated EMI.

Loan Interest Calculator Based on Monthly Payment© - All Rights Reserved 2025