How to Use This Calculator
- Enter the Loan Amount: Input the total amount borrowed or financed.
- Enter the Annual Interest Rate: Provide the fixed annual percentage rate (APR).
- Select the Loan Term: Choose the duration in months (e.g. 48) or switch to years.
- Review Results Instantly: The monthly payment, total interest, and total cost recalculate as you type.
- Inspect the Schedule: Open the amortization schedule table below the calculator to see principal versus interest for each month.
Formula and Calculation Steps
The standard monthly installment formula is:
P = L × [r(1 + r)ⁿ] / [(1 + r)ⁿ - 1]Where:
P= Monthly Payment (EMI)L= Principal loan amountr= Monthly interest rate (Annual rate ÷ 12 ÷ 100)n= Total number of monthly payments
Worked Example:
For a loan of $20,000 at 6.0% annual interest over 48 months:
- Monthly rate:
r = 6 / 12 / 100 = 0.005 - Factor:
(1 + 0.005)⁴⁸ ≈ 1.270489 - Monthly Payment:
$20,000 × [0.005 × 1.270489] / [1.270489 - 1] = $469.70 - Total Payment:
$469.70 × 48 = $22,545.60 - Total Interest:
$22,545.60 - $20,000 = $2,545.60
Worked Examples and Reference Table
| Loan Amount | Interest Rate | 36 Months | 48 Months | 60 Months |
|---|---|---|---|---|
| $10,000 | 6.0% | $304.22 / mo | $234.85 / mo | $193.33 / mo |
| $20,000 | 6.0% | $608.44 / mo | $469.70 / mo | $386.66 / mo |
| $35,000 | 6.0% | $1,064.77 / mo | $821.98 / mo | $676.65 / mo |
| $50,000 | 6.0% | $1,521.10 / mo | $1,174.25 / mo | $966.64 / mo |
Frequently Asked Questions
How is an amortized monthly loan payment (EMI) calculated?
Monthly loan payments are computed using standard amortization: P = L * [r(1+r)^n] / [(1+r)^n - 1], where L is the principal amount borrowed, r is the monthly interest rate (annual interest divided by 12), and n is the total number of monthly payments.
What is the difference between an EMI and simple interest?
An Equated Monthly Installment (EMI) amortizes principal and compounding interest evenly over the term, meaning early payments pay mostly interest while later payments pay off principal. Simple interest charges interest solely on the original principal without compounding.
Does paying off a loan early reduce the total interest paid?
Yes. In an amortized loan, interest is calculated each month on the remaining unpaid principal balance. Making extra principal payments lowers the outstanding balance and saves total interest over the life of the loan.
Can this calculator be used for auto loans or personal loans?
Yes. Most fixed-rate personal loans, auto loans, and standard mortgages use this exact fixed-rate amortization formula.
What happens if the interest rate is 0%?
When the interest rate is 0%, no interest charges accrue. The monthly payment is simply the total principal divided evenly by the total number of months.