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Home Purchase Loan and Amortization — result sheet
Estimate a fixed monthly principal-and-interest payment from a home or purchase price minus a down payment, and inspect every payment in the amortization schedule.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: P = purchasePrice - downPayment; r = annualRate / 1200; n = 12 x years; payment = P x r / (1 - (1 + r)^(-n)), or P / n when r = 0.
The first result is the monthly loan payment, not the full cost of homeownership. Interest each month is the outstanding balance times r; the rest of the payment repays principal. The table ends at zero balance and separates principal from interest. Total loan payments exclude the down payment.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Home or purchase price — Full purchase price before subtracting the down payment, not the amount borrowed.; minimum 0.01; maximum 1000000000000
- Down payment — Must be less than the purchase price. Use the same currency for both amounts.; minimum 0; maximum 1000000000000
- Nominal annual interest rate — %; Monthly rate is this percentage divided by 1200; this is not a fee-inclusive APR or effective annual yield.; minimum 0; maximum 100
- Loan term — years; Whole months only: 0.5 years means 6 months. Maximum 100 years.; minimum 0.083333333333333; maximum 100
Worked example
| Input | Value |
|---|---|
| Home or purchase price | 350000 |
| Down payment | 50000 |
| Nominal annual interest rate | 4.25 |
| Loan term | 30 |
Monthly payment: 1475.82; amount borrowed: 300000.00; total interest: 231295.08.
Assumptions and limits
- The loan is fully amortizing at one fixed nominal annual rate, with payments at monthly-end and no extra payments.
- Taxes, insurance, closing costs, lender fees, and jurisdiction-specific conventions are excluded; amounts may use any one consistent currency.
- Terms must contain whole months and cannot exceed 100 years. Full precision is retained internally, so a lender's currency-rounding rules may change the final payment.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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