Mortgage and Loan Calculator
Calculate monthly mortgage payments, interest costs, and total repayment schedules.
Selected: US Dollar ($)Mathematical Formula
Overview & Explanation
A mortgage loan calculator computes monthly principal and interest payments over the life of a loan.
How It Works
- Principal P is total property value minus down payment.
- Monthly interest rate i is the annual rate divided by 12 months.
- Total payment count N is loan term in years multiplied by 12.
Practical Applications
- Estimating home affordability and monthly budgeting.
- Comparing 15 year vs 30 year mortgage payment structures.
- Calculating total interest paid over the mortgage duration.
How the monthly payment is calculated
A standard repayment mortgage uses the amortisation formula M = P × r × (1 + r)^n / ((1 + r)^n − 1), where P is the loan amount, r is the monthly interest rate (annual rate ÷ 12) and n is the number of monthly payments. Every payment is the same, but the split changes over time: early payments are mostly interest, and later ones mostly repay principal.
This is why paying extra early in the loan saves so much interest: each extra rupee or dollar reduces the balance on which all future interest is charged.
Worked example
Borrowing 30,00,000 at 8.5 percent for 20 years: r = 0.085 / 12 = 0.007083 and n = 240. (1 + r)^240 ≈ 5.44, so M = 30,00,000 × 0.007083 × 5.44 / 4.44 ≈ 26,035 per month. Over 240 months you pay about 62.5 lakh in total, so roughly 32.5 lakh is interest — more than the amount borrowed.
What else to budget for
The monthly payment is not the whole cost of owning a home. Add property tax, insurance, maintenance (often 1 percent of the home value a year) and, in India, stamp duty and registration charges at purchase. Many lenders cap total EMIs at about 40 to 50 percent of take-home income; staying well below that leaves room for emergencies. For floating-rate loans, test the payment at a rate 1 to 2 points higher to see if it would still be affordable.
Worked Example: $300,000 Home with 20% Down Payment at 6.5%
Calculate monthly mortgage payment for a 30 year term.
Net Loan Principal
$300,000 - $60,000
Monthly EMI Payment
Formula computation with i = 0.005417, N = 360
Frequently Asked Questions
How is monthly mortgage payment calculated?
How does down payment affect monthly payment?
Is a shorter tenure better?
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