Loan EMI Calculator with Prepayment Simulator

Year	Principal	Interest	Total Paid	Remaining Balance
Year 1	$5,779	$22,580	$28,359	$344,221
Year 2	$6,166	$22,193	$28,359	$338,055
Year 3	$6,579	$21,780	$28,359	$331,476
Year 4	$7,019	$21,339	$28,359	$324,457
Year 5	$7,490	$20,869	$28,359	$316,968
Year 6	$7,991	$20,368	$28,359	$308,976
Year 7	$8,526	$19,832	$28,359	$300,450
Year 8	$9,097	$19,261	$28,359	$291,353
Year 9	$9,707	$18,652	$28,359	$281,646
Year 10	$10,357	$18,002	$28,359	$271,290
Year 11	$11,050	$17,308	$28,359	$260,240
Year 12	$11,790	$16,568	$28,359	$248,449

Year

Principal

Interest

Total Paid

Remaining Balance

Year 1

$5,779

$22,580

$28,359

$344,221

Year 2

$6,166

$22,193

$28,359

$338,055

Year 3

$6,579

$21,780

$28,359

$331,476

Year 4

$7,019

$21,339

$28,359

$324,457

Year 5

$7,490

$20,869

$28,359

$316,968

Year 6

$7,991

$20,368

$28,359

$308,976

Year 7

$8,526

$19,832

$28,359

$300,450

Year 8

$9,097

$19,261

$28,359

$291,353

Year 9

$9,707

$18,652

$28,359

$281,646

Year 10

$10,357

$18,002

$28,359

$271,290

Year 11

$11,050

$17,308

$28,359

$260,240

Year 12

$11,790

$16,568

$28,359

$248,449

Lending Mathematics & Amortization Mechanics10 min readSanguine Straphanger

How loan payments work, and what paying extra can save

Each monthly payment covers interest on the remaining balance and pays down part of the loan. Compare the same loan with and without extra principal payments to see the difference in interest and payoff date.

The Mathematics of Reducing-Balance Amortization

An Equated Monthly Installment (EMI) is a fixed payment amount made by a borrower to a lender at a specified calendar date each month. In reducing-balance loans, every periodic payment comprises two distinct components: the accrued interest on the outstanding principal balance and a partial repayment of the underlying principal itself.

Formula 1: Standard Equated Monthly Installment (EMI)Annuity Method

E = P × r × [ (1 + r)ⁿ / ((1 + r)ⁿ − 1) ]

E = Equated Monthly Installment (EMI) amount.

P = Principal loan amount borrowed.

r = Monthly periodic interest rate (Annual Rate / 12 / 100).

n = Total number of monthly installments (Loan Tenure in Years × 12).

How much does an extra monthly payment save?

For an illustrative $350,000 loan at a fixed nominal annual rate of 6.5% over 25 years, the scheduled payment is $2,363 a month. The first payment includes $1,896 in interest, or 80.2% of that payment. The share changes with the rate, term and remaining balance.

Same loan, $200 extra each month:Paying $200 extra from month one, while keeping the scheduled payment unchanged, repays the loan in 250 months instead of 300 months and saves $70,470 in interest. Total interest falls from $358,968 to $288,497. This assumes monthly interest at the annual rate divided by twelve, no rate changes, no fees or prepayment penalties, and no lump sum. Amounts shown are rounded.

Frequently Asked Questions & Quantitative Reference

What is an EMI?

An EMI, or equated monthly instalment, is the fixed monthly payment that repays a loan and its interest over the term: EMI = P × r × (1 + r)^n ÷ ((1 + r)^n − 1), where P is the principal, r the monthly interest rate and n the number of months. The interest share decreases as the balance falls; at zero interest the payment is P divided by n.

How is interest calculated in a reducing-balance loan?

Interest is calculated every month solely on the remaining outstanding principal balance. As you pay down principal, the interest component in subsequent months decreases, allowing a higher portion of your fixed monthly EMI to go toward principal reduction.

What is the financial advantage of making early lump-sum prepayments?

An extra payment applied to principal reduces the balance on which future interest is charged. For the same amount and unchanged scheduled payments, paying earlier usually saves more interest. The result depends on the rate, remaining term and lender rules; include fees or penalties before comparing costs.

Should I shorten my loan tenure or reduce my monthly EMI after a prepayment?

Keeping the EMI unchanged while shortening the term can reduce total interest and preserve a higher monthly commitment. Reducing the EMI instead frees monthly cash flow but may extend interest costs. Run the comparison above to see the gap for your inputs.

Loan & EMI Calculator with Prepayment Simulator

Loan Parameters

Total Payment Breakdown

Amortization Schedule

Repayment Schedule

How loan payments work, and what paying extra can save

The Mathematics of Reducing-Balance Amortization

How much does an extra monthly payment save?

Frequently Asked Questions & Quantitative Reference

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