A personal loan is a type of unsecured loan that can be utilized for various purposes, such as financing a business, consolidating debt, or covering unexpected expenses. One of the crucial aspects of any loan is the Equated Monthly Installment (EMI), which represents the fixed amount a borrower has to pay every month until the entire loan is repaid. In this article, we will explain how to calculate the EMI for a personal loan using the formula devised by financial institutions.

Understanding the components of EMI:

The EMI calculation for a personal loan depends on three main factors:

1. Loan amount (P) – The principal amount borrowed from the lender.

2. Interest rate (R) – The rate charged by the lender, usually expressed as an annual percentage.

3. Loan tenure (N) – The duration or period over which the loan has to be repaid, usually measured in months.

The mathematical formula for calculating EMI:

EMI = P × R × (1 + R)^N / ((1 + R)^N – 1)

Where

– EMI = Equated Monthly Installment

– P = Principal loan amount

– R = Monthly interest rate (annual interest rate divided by 12 and further divided by 100)

– N = Loan tenure (in months)

Step-by-step guide to calculate personal loan EMI using the formula:

Step 1: Convert the interest rate into a monthly percentage.

Divide the annual interest rate by 12 and then by 100.

Step 2: Calculate R x (1+R)^N

Multiply the monthly interest rate by (1+R) raised to the power of N.

Step 3: Calculate ((1+R)^N)-1

Raise (1+R) to the power of N and subtract 1 from it.

Step 4: Divide the value from step 2 by the value from step 3.

Step 5: Multiply the resultant value by the principal loan amount to get the EMI value.

Example:

Let’s assume a personal loan of $10,000 with an interest rate of 10% per annum and a loan tenure of 2 years (24 months). Here’s how to calculate the EMI:

Step 1: Convert Interest rate into a monthly percentage

The monthly interest rate = (10 / 12) / 100 = 0.008333

Step 2: Calculate R x (1+R)^N

0.008333 x (1.008333)^24 = 0.010176

Step 3: Calculate ((1+R)^N)-1

(1.008333)^24 – 1 = 0.217393

Step 4: Divide step 2 by step 3

0.010176 / 0.217393 = 0.046798

Step 5: Multiply the resultant value by the principal loan amount

EMI = $10,000 × 0.046798 = $468 (rounded up)

So, the EMI for this personal loan will be approximately $468 per month.

Conclusion:

Understanding how to calculate personal loan EMI using the formula will help you make informed decisions about your loan requirements, budgeting for repayment, and choosing the right lender based on the interest rate and tenure that suit your financial needs.