How to calculate EMI for a loan?

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Q: How to calculate EMI for a loan?

Answer

A:

EMI (Equated Monthly Installment) is the fixed monthly amount you pay to the lender to repay your loan over a specified tenure. It includes both principal and interest.


EMI Formula:

EMI=P×r×(1+r)n(1+r)n−1EMI = frac{P imes r imes (1+r)^n}{(1+r)^n - 1}

Where:

  • P = Principal loan amount

  • r = Monthly interest rate (annual rate ÷ 12 ÷ 100)

  • n = Loan tenure in months


Step-by-Step Calculation:

  1. Convert annual interest rate to monthly rate:
    For example, if the annual interest rate is 12%, monthly rate r=1212×100=0.01r = frac{12}{12 imes 100} = 0.01 (i.e., 1%).

  2. Calculate the total number of monthly installments:
    For a 5-year loan, n=5×12=60n = 5 imes 12 = 60 months.

  3. Plug values into the formula:
    Suppose you borrow ₹5,00,000 at 12% per annum for 5 years:

    EMI=500000×0.01×(1+0.01)60(1+0.01)60−1EMI = frac{500000 imes 0.01 imes (1+0.01)^{60}}{(1+0.01)^{60} - 1}
  4. Calculate the numerator and denominator:
    Numerator = 500000×0.01×(1.01)60500000 imes 0.01 imes (1.01)^{60}
    Denominator = (1.01)60−1(1.01)^{60} - 1

  5. Solve to get EMI amount


Quick Example:

  • Loan Amount: ₹5,00,000

  • Annual Interest Rate: 12%

  • Tenure: 5 years (60 months)

  • Monthly Interest Rate: 1% (12%/12)

Calculating EMI gives approximately ₹11,122 per month.


Use EMI Calculators for Easy Calculation

You can also use online EMI calculators where you just enter the loan amount, interest rate, and tenure, and it instantly shows your EMI.


Why Calculate EMI?

  • Helps plan your monthly budget

  • Compares different loan offers

  • Understand total interest payable over the tenure

  • Learn more and get the expert support you deserve:
    Visit: www.legals365.com
    Call: +91 9625961599


    Questions? Advocate B.K. Singh and the team are here to support you!

If you want, I can help you with a ready-made EMI calculator code or tool recommendation!

.

By Advocate BK Singh

(Delhi High Court)

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