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Mortgage Calculator

Start with home price, down payment, rate, and term, then add only the housing costs that apply to compare an all-in monthly estimate and payoff path.

Mortgage assumptionsFixed-rate planning model

Home price

Down payment

Down payment (%)

Interest rate (%)

Loan term

First payment month

Taxes, insurance & other costsOptional planning inputs

Property tax

Home insurance

HOA / month

Other / month

PMI estimate

Modeled PMI stop LTV

Extra principal / month

All recurring costs are user-entered estimates. This page does not fetch live mortgage rates, tax bills, insurance premiums, or lender-specific PMI rules.

Estimated first-month housing payment

—

Principal, interest and entered recurring housing costs

—Principal + interest

—Loan amount

—Modeled payoff

—Total interest

—Starting LTV

—Payoff months

—Modeled PMI months

—P&I paid

—Modeled PMI total

—Fixed-cost outlay

First-month payment breakdown—

Rate sensitivitySame loan amount and term

Rate	Monthly P&I	Total interest

—Extra-payment comparison

Balance over timeRemaining scheduled principal

Independent formula & assumption audit

Recalculate the core payment or growth path with a separate browser-local formula layer. It reads the existing inputs, does not fetch live rates, and does not replace the primary calculator.

Set the finance assumptions above, then refresh this audit.

Formula audit ready. User-entered assumptions only.

Core borrowing, saving & investing workflows

Start with the broad calculator that matches the decision, then move to a specialist only when the loan structure, cash flow, tax treatment, debt strategy or savings goal genuinely changes.

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How to use this Mortgage Calculator

Start with home price, down payment, rate, and term, then add the recurring housing costs that actually apply to your scenario. The headline result shows the estimated first-month all-in payment, while principal-and-interest, payoff date, lifetime interest, PMI modeling, payment composition, rate sensitivity, amortization, and extra-payment impact remain visible without hiding the main answer.

Scope and limits

This is a fixed-rate planning model, not a quote or approval. It does not fetch live lender rates or location-specific taxes/insurance. PMI pricing and cancellation, escrow, closing costs, legal rules, servicing treatment, and adjustable-rate products require lender or official documents.

Mortgage payment formula

The principal-and-interest portion of a fixed-rate mortgage uses the standard amortizing-loan payment formula. Taxes, insurance, HOA fees, and modeled PMI are added separately because they are not part of the loan amortization itself.

monthly P&I = P × r × (1+r)^n ÷ ((1+r)^n − 1)

P is the loan principal, r is the monthly interest rate, and n is the number of monthly payments.

Example

A $300,000 loan at 6% for 30 years has principal-and-interest of about $1,799 per month before property tax, homeowners insurance, PMI, HOA fees, or other ownership costs.

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