Mortgage Calculator
Estimate your monthly mortgage repayment, loan principal, and total interest over time.
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Total purchase price of the property
Upfront payment percentage
Fixed annual mortgage rate
Repayment period in years
Results
Assumes fixed interest rate with standard monthly reducing-balance amortization.
How mortgage calculations work
A mortgage is an amortizing loan secured by real property. Repayments follow the reducing-balance (French amortization) methodology, where each fixed periodic installment covers that month's accrued interest with the residual balance paying down loan principal:
1. Net Principal Borrowed: P = Home Purchase Price − Upfront Down Payment
2. Periodic Monthly Rate: r = Annual Interest Rate (%) ÷ 12 ÷ 100
3. Total Repayment Periods: n = Loan Term (Years) × 12
4. Monthly Payment (EMI): M = [ P × r × (1 + r)n ] ÷ [ (1 + r)n − 1 ]
5. Total Loan Interest: Total Interest = (M × n) − P
6. Total Property Outlay: Total Cash Outflow = Down Payment + (M × n)
Step-by-Step Worked Example (Default Scenario)
Consider a property purchased for ₹50,00,000 with a 20% down payment (₹10,00,000) funded upfront, leaving a net loan balance of ₹40,00,000 borrowed at an annual fixed rate of 8.50% over 20 years (240 months):
| Milestone / Component | Mathematical Calculation | Computed Output | Strategic Impact |
|---|---|---|---|
| Home Purchase Price | Agreed Contract Price | ₹50,00,000 | Total gross real estate transaction value. |
| Upfront Down Payment (20%) | ₹50,00,000 × 20% | ₹10,00,000 | Instant equity buffer; eliminates private mortgage insurance (PMI) mandates. |
| Net Principal Borrowed (P) | ₹50,00,000 − ₹10,00,000 | ₹40,00,000 | Total bank debt disbursed and amortized. |
| Monthly Mortgage Payment (EMI) | Amortization Formula (n=240, r=0.70833%) | ₹34,713 / Month | Fixed monthly payment due every 30 days for 20 continuous years. |
| Month 1 Breakdown | Interest: ₹40L × 0.70833% = ₹28,333 Principal: ₹34,713 − ₹28,333 = ₹6,380 | 81.6% Interest / 18.4% Principal | Notice that early installments almost exclusively service interest overhead. |
| Total Principal Repaid | Original Principal | ₹40,00,000 (48.0%) | Retires the entirety of debt obligation. |
| Total Interest Paid to Bank | (₹34,713 × 240) − ₹40,00,000 | ₹43,31,103 (52.0%) | Financing cost exceeds the entire original borrowed principal! |
| Total Real Estate Outlay | ₹10,00,000 (Down) + ₹83,31,103 (Debt) | ₹93,31,103 | 1.87× the original property purchase price. |
Loan Term Trade-off: 15 vs 20 vs 30 Years
On the same ₹40,00,000 loan at 8.50% interest, choosing loan tenure changes the total financing burden radically:
- 15-Year Term: EMI is ₹39,403 (+₹4,690/mo), but total interest drops to ₹30,92,492 — saving ₹12,38,611 in interest and retiring debt 5 years earlier.
- 20-Year Term (Default): Balanced EMI of ₹34,713 with total interest of ₹43,31,103.
- 30-Year Term: EMI falls to ₹30,757 (saving ₹3,956/mo), but total interest explodes to ₹70,72,374 — costing an extra ₹27,41,271 in pure bank interest!
The Equity "Crossover Point"
Because of reducing-balance mechanics, your monthly payments shift from interest-heavy to principal-heavy over time:
- Years 1–5: Over 75% of your cumulative payments go toward interest. Home equity grows very slowly.
- The Crossover Point: At Month 137 (~Year 11.5), the interest portion falls below 50% for the first time.
- Prepayment Acceleration: Adding just 1 extra EMI payment per year directly to principal shortens a 20-year mortgage by nearly 3.5 years and saves over ₹7.5 Lakhs in interest.
Assumptions & Real-World Exclusions
- PITI vs Principal & Interest: This calculator models pure Principal & Interest (PI). Full housing outlays (PITI) also include municipal property taxes, homeowner's insurance, and private mortgage insurance (PMI).
- Floating vs Fixed Rates: Most residential mortgages are floating-rate (repo-linked in India, or adjustable-rate ARM in the US). If central bank benchmark rates rise by 100 bps, your tenure or EMI will automatically increase.
- Closing & Acquisition Costs: Stamp duty, registration charges, legal title vetting, and loan origination fees (typically 4% to 8% of property value) must be funded out-of-pocket and are not included in the loan balance.
Frequently asked questions
What factors determine my monthly mortgage payment?
How does down payment size impact my mortgage?
What is the difference between a 15-year and 30-year mortgage?
How does amortization work in a mortgage?
Can extra principal prepayments shorten my mortgage?
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Monthly Mortgage Payment
₹34,713