Mortgage Calculator
Build the whole monthly payment, escrow included, with the full schedule.
Calculate the equated monthly instalment on any home loan tenure, then add a monthly prepayment and see exactly how much interest it saves and how many months it removes.
Estimates only. The result depends entirely on the assumptions you enter. Rates, fees and tax rules vary by lender and by country, and none of this is financial, tax or investment advice. Confirm figures with a qualified adviser or the institution before you commit to anything.
This is the EMI calculator used across most of the world outside the United States: an equated monthly instalment on a home loan, with a prepayment field that shows what paying a little extra each month is actually worth.
Before relying on the saving, check two things in your agreement: whether prepayment is allowed without penalty, and whether extra payments reduce the tenure or the EMI. Reducing the tenure saves far more; reducing the EMI mostly just makes the loan more comfortable.
The EMI itself is the standard amortising payment. The prepayment effect has no closed form and is simulated month by month.
| Symbol | Meaning | Unit | Typical range |
|---|---|---|---|
P | Sanctioned loan amount | currency | 50,000 – 1,000,000 |
i | Monthly interest rate | — | 0.004 – 0.012 |
n | Tenure in months | count | 60 – 420 |
EMI | Equated monthly instalment | currency | — |
extra | Voluntary monthly prepayment | currency | 0 – 3,000 |
One property worth noticing: the saving from a prepayment is roughly the interest rate compounded over the remaining term. Paying $300 a month extra on an 8.5% loan is equivalent to investing $300 a month at a guaranteed, tax-free 8.5% — which is a return very few savings products can match.
| Extra each month | Payoff time | Total interest | Interest saved |
|---|---|---|---|
| $0 | 240 months | $270,693.94 | — |
| $100 | 215 months | $237,229.32 | $33,464.62 |
| $300 | 179 months | $191,733.62 | $78,960.32 |
| $500 | 155 months | $161,757.88 | $108,936.06 |
| $1,000 | 116 months | $117,337.93 | $153,356.01 |
Look at the first row of prepayment. One hundred dollars a month — $25,800 over the life of the loan — saves $33,465 and removes 25 months. That is the whole argument for prepaying stated in a single line.
Tenure is the input borrowers underestimate. Lengthening it makes the EMI comfortable and the loan expensive, and the relationship is not linear.
| Tenure | EMI | Total repaid | Total interest |
|---|---|---|---|
| 10 years | $3,099.13 | $371,895.60 | $121,895.60 |
| 15 years | $2,462.06 | $443,170.80 | $193,170.80 |
| 20 years | $2,169.56 | $520,693.94 | $270,693.94 |
| 25 years | $2,013.32 | $603,996.00 | $353,996.00 |
| 30 years | $1,922.28 | $692,020.80 | $442,020.80 |
Going from twenty years to thirty lowers the EMI by $247 a month — about 11% — and raises total interest by $171,327, a 63% increase. The comfort is real and the price of it is enormous. A useful compromise is to take the longer tenure for safety and prepay voluntarily, which gives you the low mandatory payment and most of the short-tenure saving.
The second thing worth understanding is when prepayments have the most effect. Early ones remove interest from every remaining month; late ones remove almost none. A $10,000 lump sum in year two of this loan saves roughly four times what the same lump sum saves in year fifteen. If you are going to prepay at all, prepaying early is worth far more than prepaying more.
Six things to check with your lender before relying on any of this.
Is prepayment allowed, and is it free? Many jurisdictions prohibit prepayment charges on floating-rate home loans to individuals, but fixed-rate loans and loans to businesses often carry them. A 2% charge on a large prepayment can cancel several years of saving.
Does a prepayment reduce the tenure or the EMI? Reducing the tenure saves dramatically more. Some lenders default to reducing the EMI unless you specifically ask, which quietly gives away most of the benefit.
Is the rate fixed or floating? This calculator assumes it is constant. On a floating rate, run it again at two points higher and check the EMI remains affordable.
When is the first EMI due? Loans disbursed mid-month often charge broken-period interest before the schedule begins, which is a small one-off cost this model does not include.
Are there processing fees? They are usually a percentage of the sanctioned amount and are not part of the EMI. The APR calculator folds them into an effective rate so you can compare two offers properly.
Is there a tax relief on interest? Where mortgage interest is deductible, prepaying reduces the deduction as well as the interest, which lowers the effective saving. That is a question for an accountant rather than a calculator.
How is the outstanding balance treated on a part payment? Some lenders apply a lump sum on the day it lands; others hold it until the next instalment date, or apply it to the following month's payment rather than the principal. Those three treatments produce visibly different savings on a large prepayment, so ask how yours works and confirm on the next statement that the balance moved by the amount you expected.
There is also a behavioural argument for the shorter tenure that the arithmetic misses. A twenty-year loan with a higher mandatory EMI removes the monthly decision to prepay. A thirty-year loan with a voluntary $300 top-up relies on you making that choice two hundred and forty times without once deciding the money is needed elsewhere. The flexible version is genuinely better on paper and worse in practice for most households, which is why lenders see far more people finish a short loan early than a long one. If you know you will not keep the discipline, buy it from the lender by choosing the shorter tenure — and if a bad year arrives, a request to extend the tenure is a conversation most lenders will have.
For a US-style loan with escrowed tax and insurance, use the mortgage calculator instead — same mathematics underneath, different conventions on top. For any non-property loan, the loan payment calculator does the same job without the housing framing.
EMI = P · i ÷ (1 − (1 + i)−n), where i is the annual rate divided by twelve and n is the tenure in months. For $250,000 at 8.5% over twenty years that gives $2,169.56.
On this loan, $300 a month saves $78,960 of interest and finishes it 61 months early. Because interest is charged on a reducing balance, each extra payment removes interest from every month that follows it.
The tenure, in almost every case. Reducing the EMI lowers your monthly commitment but keeps you in debt for the full term and gives away most of the interest saving. Ask explicitly — many lenders default to the other option.
It depends on the jurisdiction and the rate type. Floating-rate loans to individuals are protected from prepayment charges in many countries; fixed-rate loans frequently are not. Check the agreement before making a large lump-sum payment.
The shortest EMI you can comfortably sustain in a bad month, not the shortest you can manage in a good one. Taking a longer tenure and prepaying voluntarily gives you the safety of a low mandatory payment and most of the saving.
Substantially. Going from twenty to thirty years on this loan lowers the EMI by $247 and raises total interest by $171,327 — a 63% increase for an 11% reduction in the monthly figure.
Prepaying gives a guaranteed, tax-free return equal to your interest rate. At 8.5% that is difficult to beat reliably after tax, though the money becomes illiquid. Complete an emergency fund first.
As early as possible. A lump sum in year two of this loan saves roughly four times what the same amount saves in year fifteen, because it removes interest from far more remaining months.
No. They are usually charged up front as a percentage of the sanctioned amount. Use the APR calculator to fold them into an effective rate when comparing lenders.
On a floating-rate loan the lender normally adjusts the tenure rather than the EMI, so a rate rise makes the loan longer rather than the payment larger. Run the calculation two points higher to see how much longer.
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