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Loan EMI Calculator

Plan any loan: monthly EMI, total interest, and total payable โ€” computed instantly.

Monthly EMI
$1,995.91
Total interest
$418,526.69
Total payable
$718,526.69
First-year amortization
MoInterestPrincipalBalance
1$1,750.00$245.91$299,754.09
2$1,748.57$247.34$299,506.75
3$1,747.12$248.78$299,257.97
4$1,745.67$250.24$299,007.73
5$1,744.21$251.70$298,756.03
6$1,742.74$253.16$298,502.87
7$1,741.27$254.64$298,248.23
8$1,739.78$256.13$297,992.10
9$1,738.29$257.62$297,734.48
10$1,736.78$259.12$297,475.36
11$1,735.27$260.63$297,214.73
12$1,733.75$262.15$296,952.57

How Loan EMI Is Calculated

EMI โ€” equated monthly installment โ€” is the fixed amount you pay your lender every month until a loan is fully repaid. Each payment covers that month's interest first, and whatever is left reduces the principal. Early in the loan you pay mostly interest; near the end you pay mostly principal.

The EMI Formula

  • EMI = P x r x (1+r)^n / ((1+r)^n - 1)
  • P is the loan amount.
  • r is the monthly interest rate (annual rate divided by 12).
  • n is the number of monthly payments.

A Quick Example

A $300,000 home loan at 7% annual interest for 30 years (360 months): r = 0.07/12 = 0.00583, giving an EMI of about $1,996. Over 30 years you would pay roughly $418,500 in interest alone โ€” more than the loan itself. Shortening the tenure raises the EMI but slashes total interest.

Smart Borrowing Tips

Compare the total interest, not just the EMI, when choosing between offers. Even a 0.5% lower rate saves tens of thousands on a long loan, and making one extra payment a year can cut years off the schedule. See how interest compounds with our compound interest calculator, or check what simple interest would cost using the simple interest calculator.

Frequently Asked Questions

What is the EMI formula?

EMI = P x r x (1+r)^n / ((1+r)^n - 1), where P is the loan principal, r is the monthly interest rate (annual rate divided by 12), and n is the total number of monthly payments.

Does a longer loan tenure reduce my EMI?

Yes โ€” spreading payments over more months lowers each EMI. But you pay significantly more total interest, so a longer tenure costs more overall.

What is the difference between EMI and simple interest?

EMI uses the reducing-balance method: interest each month is charged only on the remaining principal. Simple interest charges a flat amount on the original principal for the whole period.

Is this EMI calculator free?

Yes โ€” every tool on Math Solver Free is free with no sign-up, and all calculations run in your browser.