What are the assumptions of the Hypothèque formula?

Fixed-rate mortgage. For ARMs, the rate after the fixed period changes the result. Equal monthly payments. Some mortgages allow biweekly or other schedules. Interest is compounded monthly (standard for US mortgages). No prepayments. Extra payments reduce the principal and shorten the loan term. The loan is fully amortizing — payments cover both principal and interest so the balance reaches zero at term end. No balloon payment. Interest-only or balloon loans are calculated differently.

What are the limitations of Hypothèque?

This calculator estimates P&I only. The full PITI payment includes property taxes and insurance (typically 15–35% extra). Closing costs, HOA fees, and maintenance are not included in the monthly payment. For ARMs, the actual payment will change after the initial fixed period. Regional variations in taxes and insurance can substantially change total housing cost. The amortization schedule assumes payments are made on time. Late or missed payments add interest and fees. This is an estimate, not a loan offer. Actual rates depend on credit score, LTV, debt-to-income ratio, and lender pricing. For jumbo loans (> $766,550 in 2024 for most US counties), conforming-loan limits do not apply and rates are typically 0.25-0.5% higher. Mortgage insurance (PMI for 80%, and is auto-cancelled at 78% LTV per federal law. VA loans (eligible veterans) and USDA loans (rural areas) require 0% down — use the dedicated calculators for those programs. For points purchases, the break-even is closing costs ÷ monthly savings; standard advice is to pay points only if you stay 5+ years.

Méthodologie

How we calculate mortgage payments

Our methodology for the Hypothèque calculator: the formula, step-by-step calculation, authoritative sources, and limitations. Reviewed quarterly.

Formule

M = P × [r(1+r)ⁿ] / [(1+r)ⁿ − 1]

Étape par étape

1
Determine the loan principal (P): the home price minus the down payment.
2
Determine the monthly interest rate (r): divide the annual rate by 12 (e.g. 6% APR → 0.005 per month).
3
Determine the number of payments (n): multiply the loan term in years by 12 (e.g. 30 years → 360 payments).
4
Compute (1+r)ⁿ: the compounding factor over the loan life.
5
Apply the formula: P × [r(1+r)ⁿ] / [(1+r)ⁿ − 1]. The result is the monthly principal + interest payment.
6
Add property taxes, home insurance, and PMI (if applicable) to get the full PITI payment.
7
Convert the annual percentage rate (APR) to monthly rate: monthly rate = APR / 12. For biweekly mortgages, use 26 periods per year.

Sources autorisées

Every claim on this page is backed by an authoritative source.

Hypothèses

What we take to be true when applying this formula.

Fixed-rate mortgage. For ARMs, the rate after the fixed period changes the result.
Equal monthly payments. Some mortgages allow biweekly or other schedules.
Interest is compounded monthly (standard for US mortgages).
No prepayments. Extra payments reduce the principal and shorten the loan term.
The loan is fully amortizing — payments cover both principal and interest so the balance reaches zero at term end.
No balloon payment. Interest-only or balloon loans are calculated differently.

Limites

What this method does NOT capture.

This calculator estimates P&I only. The full PITI payment includes property taxes and insurance (typically 15–35% extra).
Closing costs, HOA fees, and maintenance are not included in the monthly payment.
For ARMs, the actual payment will change after the initial fixed period.
Regional variations in taxes and insurance can substantially change total housing cost.
The amortization schedule assumes payments are made on time. Late or missed payments add interest and fees.
This is an estimate, not a loan offer. Actual rates depend on credit score, LTV, debt-to-income ratio, and lender pricing.
For jumbo loans (> $766,550 in 2024 for most US counties), conforming-loan limits do not apply and rates are typically 0.25-0.5% higher.
Mortgage insurance (PMI for <20% down, MIP for FHA) is included in our PITI calculation when LTV > 80%, and is auto-cancelled at 78% LTV per federal law.
VA loans (eligible veterans) and USDA loans (rural areas) require 0% down — use the dedicated calculators for those programs.
For points purchases, the break-even is closing costs ÷ monthly savings; standard advice is to pay points only if you stay 5+ years.

Note éditoriale

Reviewed against CFPB mortgage guides and Federal Reserve consumer education materials. Covers fixed-rate, ARM, PITI, jumbo loans, PMI/MIP, and amortization nuances.

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Dernière révision: 2026-06-15 • Reviewed by: CalcxApp editorial team