Loan EMI & Amortization Calculator – Guide & Formulas
Calculate monthly loan EMIs, total interest charges, and lifetime financial payments with visual principal vs interest breakdown donut charts.
Try the free calculator
Put these formulas into practice with our instant, step-by-step Loan EMI & Amortization Calculator.
The Loan EMI & Amortization Calculator calculates your monthly installment payments and provides a comprehensive visual summary of interest costs.
Key Takeaway
Use the free Loan EMI & Amortization Calculator to calculate monthly loan emis, total interest charges, and lifetime financial payments with visual principal vs interest breakdown donut charts. Get instant results with step-by-step explanations.
How to Use the Loan EMI & Amortization Calculator
- Enter the total principal loan amount.
- Enter the annual interest rate percentage.
- Specify the loan repayment tenure in years.
- Review your monthly EMI, total interest, and total payment amounts.
The Formula
Variable Definitions
- E: Monthly Equated Monthly Installment (EMI)
- P: Principal loan amount
- r: Monthly interest rate (Annual Rate / 12 / 100)
- n: Total number of monthly payments (Years * 12)
Standard Auto Loan EMI
Calculate EMI for a $100,000 loan at 7.5% annual interest rate for 5 years.
- Step 1: Map knowns: P = 100,000, r = 7.5/12/100 = 0.00625, n = 5 * 12 = 60.
- Step 2: Solve EMI formula: E = 100000 * [0.00625*(1.00625)^60] / [(1.00625)^60 - 1].
- Step 3: Compute values: (1.00625)^60 ≈ 1.4533.
- Step 4: Solve EMI = 100000 * 0.009083 / 0.4533 ≈ $2,003.79 per month.
- Step 5: Total interest = (60 * 2003.79) - 100000 = $20,227.40.
Frequently Asked Questions
What is an amortization schedule?
An amortization schedule is a complete table of periodic loan payments, showing the amount of principal and interest comprising each payment until the loan is fully paid off.
How does a down payment affect my EMI?
A down payment directly reduces your starting principal amount, reducing your monthly payments and total lifetime interest costs.