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SAGVIM
Financial Planning · Amortization Engine

Loan EMI Calculator

Estimate monthly loan repayments, total interest payable, and explore the complete month-by-month amortization schedule.

Interactive Loan EMI Calculator

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%
years

Monthly Repayment & Total Loan Cost

Monthly EMI

$632.07

for 360 months

Total Interest Payable

$127,545.20

Cost of borrowing

Total Payment (Principal + Interest)

$227,545.20

Over entire tenure

Principal: 44% ($100,000.00)Interest: 56% ($127,545.20)

Amortization Schedule (First 12 Months)

Monthly breakdown for your $100,000.00 loan at 6.5% interest over 360 months.

Monthly EMI: $632.07
MonthOpening BalancePaymentPrincipalInterestRemaining Balance
Month 1$100,000.00$632.07$90.40$541.67$99,909.60
Month 2$99,909.60$632.07$90.89$541.18$99,818.71
Month 3$99,818.71$632.07$91.39$540.68$99,727.32
Month 4$99,727.32$632.07$91.88$540.19$99,635.44
Month 5$99,635.44$632.07$92.38$539.69$99,543.06
Month 6$99,543.06$632.07$92.88$539.19$99,450.18
Month 7$99,450.18$632.07$93.38$538.69$99,356.80
Month 8$99,356.80$632.07$93.89$538.18$99,262.91
Month 9$99,262.91$632.07$94.40$537.67$99,168.51
Month 10$99,168.51$632.07$94.91$537.16$99,073.60
Month 11$99,073.60$632.07$95.42$536.65$98,978.18
Month 12$98,978.18$632.07$95.94$536.13$98,882.24

Total Interest over full term: $127,545.20 · Total Payment: $227,545.20

The Actuarial Amortization Formula

Equated Monthly Installments are calculated using the universal reducing-balance loan amortization formula:

EMI = P × r × (1 + r)n ÷ [(1 + r)n − 1]
P = Principal

The total amount borrowed from the lender.

r = Monthly Interest Rate

Annual rate divided by 12 months, then by 100.

n = Total Months

Number of monthly payments (Loan years × 12).

Benchmark Reference Example

Precomputed reference schedule for a standardized $100,000.00 benchmark loan at 6.5% annual interest over 30 years (360 months).

Monthly Payment: $632.07
MonthOpening BalanceMonthly EMIPrincipal PaidInterest PaidRemaining Balance
Month 1$100,000.00$632.07$90.40$541.67$99,909.60
Month 2$99,909.60$632.07$90.89$541.18$99,818.71
Month 3$99,818.71$632.07$91.39$540.68$99,727.32
Month 4$99,727.32$632.07$91.88$540.19$99,635.44
Month 5$99,635.44$632.07$92.38$539.69$99,543.06
Month 6$99,543.06$632.07$92.88$539.19$99,450.18
Month 7$99,450.18$632.07$93.38$538.69$99,356.80
Month 8$99,356.80$632.07$93.89$538.18$99,262.91
Month 9$99,262.91$632.07$94.40$537.67$99,168.51
Month 10$99,168.51$632.07$94.91$537.16$99,073.60
Month 11$99,073.60$632.07$95.42$536.65$98,978.18
Month 12$98,978.18$632.07$95.94$536.13$98,882.24

Total Interest over full term: $127,545.20 · Total Payment: $227,545.20

Key Financial Strategies for Borrowers

Impact of Extra Principal Repayments

Because interest is calculated monthly on the remaining balance, making even small lump-sum payments directly against the principal substantially reduces overall interest and cuts months or years off your mortgage.

Fixed Rate vs. Variable Rate Amortization

This schedule reflects a fixed-rate loan where the interest rate remains constant. For variable-rate mortgages, your lender will recalculate the monthly EMI whenever benchmark central bank rates change.

Official Methodologies & Standards

Verified against international actuarial standards and central banking methodologies on 19 October 2026.

Frequently Asked Questions

What is an EMI?

EMI stands for Equated Monthly Installment. It is a fixed payment amount made by a borrower to a lender at a specified date each calendar month. EMIs are applied to both interest and principal each month so that over a specified number of years, the loan is fully paid off.

How is loan EMI calculated?

EMI is calculated using the actuarial amortization formula: EMI = [P × r × (1 + r)^n] / [(1 + r)^n − 1], where P is the loan principal, r is the monthly interest rate (annual interest rate divided by 12 and then 100), and n is the total number of monthly payments.

How does the proportion of principal and interest change over time?

In the early months of a loan, a larger portion of each EMI goes toward paying interest because the remaining balance is high. As the balance decreases over time, less interest accrues, and a larger portion of each payment goes toward paying down the principal balance.

Does paying extra reduce total interest?

Yes. Any additional repayment made directly against the loan principal reduces the outstanding balance immediately, which lowers subsequent monthly interest charges and shortens the total loan tenure.