Mortgage Calculator
A comprehensive mortgage calculator with a 4-in-1 solver to find your payment, loan amount, interest rate, or term. Supports advanced PITI (Property Tax, Insurance, HOA) and extra payments simulation.
Loan Balance & Equity Over Time
Loan Amount: $240,000.00 · Total Interest: $223,813.84★ Crossover Point: Year 16
Amortization Schedule
| Year | Principal | Interest | Extra | Total | Remaining Balance |
|---|---|---|---|---|---|
| Year 1 (2026) | $3,540.89 | $11,919.58 | — | $15,460.47 | $236,459.11 |
| Year 2 (2027) | $3,722.04 | $11,738.42 | — | $15,460.46 | $232,737.07 |
| Year 3 (2028) | $3,912.44 | $11,548.01 | — | $15,460.45 | $228,824.63 |
| Year 4 (2029) | $4,112.63 | $11,347.83 | — | $15,460.46 | $224,712.00 |
| Year 5 (2030) | $4,323.05 | $11,137.42 | — | $15,460.47 | $220,388.95 |
How Mortgage Payments Are Calculated: Formulas & Amortization Models
Understand how monthly payments, taxes, insurance, and differentiated schedules are calculated mathematically.
Annuity Monthly Payment (P&I)
Standard fixed-rate mortgage payment calculation where monthly payments remain equal throughout the loan term.
Total Monthly Payment (PITI)
Comprehensive monthly housing cost incorporating principal, interest, property taxes, homeowners insurance, PMI, and HOA dues.
Differentiated Payment
Linear amortization schedule where the principal is divided into equal installments, and interest decreases each month on the remaining balance.
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Frequently Asked Questions (FAQ)
QHow is a monthly mortgage payment calculated and what makes up the payment?
A monthly mortgage payment primarily consists of two components: Principal and Interest (P&I). The principal portion goes directly toward paying down the original loan balance, building home equity. The interest portion is the fee charged by the lender for borrowing the money, calculated each month based on your remaining principal balance. In the early years of an amortized loan, the interest portion constitutes the majority of each payment, while in later years, the principal portion dominates.
QWhat is the difference between Annuity and Differentiated repayment schedules?
Annuity repayment (standard in the US and UK) features fixed, identical total monthly payments throughout the loan term, where the internal proportion of interest decreases while principal repayment increases over time. Differentiated repayment (common across continental Europe) keeps the principal repayment amount constant each month while interest shrinks as the balance decreases, resulting in higher initial monthly payments that steadily decline and lower overall lifetime interest.
QHow do extra payments and prepayment reduce interest and shorten the loan term?
Any extra payments you make are applied 100% directly to your loan principal, rather than interest. Because interest is compounded and calculated strictly on the remaining principal balance, chipping away at the principal early slashes the compounding effect for all future months. Even an additional $100 per month on a 30-year loan can cut 4 to 5 years off your repayment timeline and save tens of thousands of dollars in total interest.
QWhat is Loan-to-Value (LTV) and how does the down payment affect loan cost?
Loan-to-Value (LTV) is the ratio of your mortgage amount relative to the appraised value or purchase price of the property (calculated as Loan Amount divided by Property Value). A higher down payment results in a lower LTV, which decreases lender risk, unlocks lower interest rates, reduces total loan fees, and avoids or shortens mandatory mortgage default insurance.
QHow does Private Mortgage Insurance (PMI) work and when does it drop off under the Homeowners Protection Act?
Conventional lenders typically require Private Mortgage Insurance (PMI) when your down payment is under 20% (LTV above 80%). Under the federal Homeowners Protection Act of 1998 (HPA), you have the right to request PMI cancellation in writing once your loan balance reaches 80% of the home's original value (provided payments are current and no junior liens exist). Furthermore, lenders are legally mandated to automatically terminate PMI once the principal balance is scheduled to reach 78% LTV.
QWhat is the 28/36 debt-to-income (DTI) rule used by mortgage lenders to approve loans?
The 28/36 rule is a classic underwriting standard used by lenders to assess loan affordability. The 'front-end' ratio recommends that your total monthly housing expenses (PITI: Principal, Interest, Taxes, Insurance) should not exceed 28% of your gross monthly income. The 'back-end' ratio recommends that your total monthly debt payments (housing expenses plus student loans, car notes, and minimum credit card payments) should not exceed 36% of your gross income.
Financial & Regulatory Disclaimer
Generated by enetko for informational purposes only. Figures are based on the values entered and do not constitute financial, tax, or legal advice.