mortgage calculator redfin

Estimate your monthly mortgage payments with our easy-to-use calculator. Understand the key components of your loan payment.

Calculate Your Monthly Mortgage Payment

Your Estimated Monthly Mortgage Payment

Key Assumptions:

This calculation assumes a standard amortization schedule for principal and interest. Property taxes, homeowner's insurance, and PMI are estimates and can vary significantly. This calculator does not include potential HOA fees, closing costs, or other loan-specific fees.

Mortgage Payment Formula Explained

The total monthly mortgage payment, often referred to as PITI (Principal, Interest, Taxes, and Insurance), is calculated by summing the monthly principal and interest payment with the monthly estimates for property taxes, homeowner's insurance, and Private Mortgage Insurance (PMI).

Monthly Principal & Interest (P&I) Calculation:

The monthly P&I payment is calculated using the standard mortgage payment formula:

M = P [ i(1 + i)^n ] / [ (1 + i)^n – 1]

Where:

• M = Your total monthly mortgage payment (Principal & Interest)
• P = The principal loan amount
• i = Your monthly interest rate (annual rate divided by 12)
• n = The total number of payments over the loan's lifetime (loan term in years multiplied by 12)

Total Monthly Payment (PITI + PMI):

Total Monthly Payment = M + Monthly Property Tax + Monthly Home Insurance + Monthly PMI

Monthly Property Tax = Annual Property Tax / 12

Monthly Home Insurance = Annual Homeowner's Insurance / 12

Monthly PMI = (Loan Amount * Annual PMI Rate) / 12

Variables Used in Calculation

Variable	Meaning	Unit	Typical Range
P (Loan Amount)	The total amount borrowed for the home.	USD ($)	$50,000 – $1,000,000+
Annual Interest Rate	The yearly interest rate charged on the loan.	Percent (%)	2% – 10%+
Loan Term (Years)	The duration of the loan.	Years	15, 30
Annual Property Tax	Total estimated property taxes for one year.	USD ($)	$1,000 – $10,000+
Annual Homeowner's Insurance	Total estimated insurance premium for one year.	USD ($)	$500 – $3,000+
Annual PMI Rate	The yearly rate for Private Mortgage Insurance.	Percent (%)	0.2% – 1.5%
i (Monthly Interest Rate)	Annual interest rate divided by 12.	Decimal	0.00167 – 0.00833
n (Number of Payments)	Loan term in years multiplied by 12.	Months	180, 360

Practical Examples

Example 1: First-Time Homebuyer

Sarah is buying her first home and needs to estimate her monthly payments. She's taking out a $250,000 loan with a 30-year term at a 5% annual interest rate. Her estimated annual property taxes are $3,000, annual homeowner's insurance is $1,000, and she needs to pay PMI at an annual rate of 0.8% because her down payment is less than 20%.

Inputs:

• Loan Amount: $250,000
• Annual Interest Rate: 5%
• Loan Term: 30 years
• Annual Property Tax: $3,000
• Annual Homeowner's Insurance: $1,000
• Annual PMI: 0.8%

Calculation Breakdown:

• Monthly Interest Rate (i): 5% / 12 = 0.05 / 12 ≈ 0.004167
• Number of Payments (n): 30 years * 12 months/year = 360
• Monthly P&I: $250,000 [ 0.004167(1 + 0.004167)^360 ] / [ (1 + 0.004167)^360 – 1] ≈ $1,342.05
• Monthly Property Tax: $3,000 / 12 = $250.00
• Monthly Home Insurance: $1,000 / 12 ≈ $83.33
• Monthly PMI: ($250,000 * 0.008) / 12 = $2,000 / 12 ≈ $166.67

Estimated Total Monthly Payment: $1,342.05 + $250.00 + $83.33 + $166.67 = $1,842.05

Example 2: Refinancing a Mortgage

John is looking to refinance his existing mortgage. He has a remaining balance of $180,000 on his loan and wants to take out a new loan for $180,000 over 15 years at a 4% annual interest rate. His property taxes remain $4,200 annually, homeowner's insurance is $1,100 annually, and he no longer needs PMI.

Inputs:

• Loan Amount: $180,000
• Annual Interest Rate: 4%
• Loan Term: 15 years
• Annual Property Tax: $4,200
• Annual Homeowner's Insurance: $1,100
• Annual PMI: 0%

Calculation Breakdown:

• Monthly Interest Rate (i): 4% / 12 = 0.04 / 12 ≈ 0.003333
• Number of Payments (n): 15 years * 12 months/year = 180
• Monthly P&I: $180,000 [ 0.003333(1 + 0.003333)^180 ] / [ (1 + 0.003333)^180 – 1] ≈ $1,265.29
• Monthly Property Tax: $4,200 / 12 = $350.00
• Monthly Home Insurance: $1,100 / 12 ≈ $91.67
• Monthly PMI: $0.00

Estimated Total Monthly Payment: $1,265.29 + $350.00 + $91.67 + $0.00 = $1,706.96

How to Use This Mortgage Payment Calculator

Our Mortgage Payment Calculator is designed for simplicity and accuracy. Follow these steps to get your estimated monthly mortgage cost:

1. Enter Loan Amount: Input the total amount you plan to borrow for the home purchase.
2. Input Annual Interest Rate: Enter the yearly interest rate offered on the mortgage.
3. Specify Loan Term: Select the duration of your loan in years (commonly 15 or 30 years).
4. Add Annual Property Tax: Estimate your yearly property tax bill and enter it here.
5. Add Annual Homeowner's Insurance: Input your estimated yearly homeowner's insurance premium.
6. Enter Annual PMI (if applicable): If your down payment is less than 20%, you'll likely pay PMI. Enter its annual percentage rate (e.g., 0.5 for 0.5%). If you don't have PMI, enter 0.

Interpreting Your Results:

Once you enter all the required information, the calculator will instantly display:

• Primary Result (Total Monthly Payment): This is your estimated total PITI + PMI payment. It's the most crucial figure for budgeting.
• Principal & Interest (P&I): The portion of your payment that goes towards paying down the loan balance and the interest charged.
• Monthly Property Tax: Your estimated monthly contribution to property taxes.
• Monthly Home Insurance: Your estimated monthly homeowner's insurance cost.
• Monthly PMI: The estimated monthly cost of Private Mortgage Insurance, if applicable.
• Key Assumptions: A reminder of the factors included and excluded in the calculation.

Decision-Making Guidance:

Use the results to:

• Budget Effectively: Ensure the estimated monthly payment fits comfortably within your budget. Lenders often recommend keeping total housing costs (PITI + PMI) below 28-30% of your gross monthly income.
• Compare Loan Offers: Input details from different mortgage quotes to see which offer results in the lowest monthly payment.
• Understand Trade-offs: See how changing the loan term or interest rate impacts your monthly payment and the total interest paid over time. A shorter term means higher monthly payments but less total interest.

Key Factors That Affect Mortgage Payments

Several elements significantly influence your total monthly mortgage payment. Understanding these can help you plan and potentially lower your costs:

1. Loan Amount (Principal): This is the most direct factor. A larger loan amount naturally results in a higher monthly payment. It's determined by the home's price minus your down payment.
2. Annual Interest Rate: Even small differences in the interest rate can have a substantial impact over the life of a loan. Higher rates mean higher monthly interest charges and a larger P&I payment. This rate is influenced by market conditions, your credit score, and the type of loan.
3. Loan Term: The length of the loan (e.g., 15 vs. 30 years). A longer term results in lower monthly payments but significantly more interest paid over time. A shorter term increases monthly payments but reduces the total interest paid.
4. Property Taxes: These vary greatly by location (state, county, city) and the assessed value of your home. Higher property taxes directly increase your monthly PITI payment.
5. Homeowner's Insurance: Premiums depend on coverage levels, location (risk factors like floods or hurricanes), and the value of your home. More comprehensive coverage or higher-risk areas will increase this cost.
6. Private Mortgage Insurance (PMI): Typically required if your down payment is less than 20% of the home's purchase price. PMI protects the lender. Its cost is usually a percentage of the loan amount annually, divided by 12 for the monthly payment. Paying a larger down payment can eliminate this cost.
7. Escrow Account: Lenders often require an escrow account to collect property taxes and insurance premiums. While not part of the P&I calculation, these funds are collected monthly with your mortgage payment and disbursed when due, forming part of your total outflow.

Assumptions & Limitations: This calculator provides an estimate. Actual costs can vary. Property taxes and insurance premiums can change annually. PMI may eventually be removed once you reach sufficient equity. This calculator does not include potential HOA fees, closing costs, mortgage insurance premiums (MIP) for FHA loans, or special assessments.

Frequently Asked Questions (FAQ)

Q1: What is PITI?

A1: PITI stands for Principal, Interest, Taxes, and Insurance. It represents the four main components of a typical monthly mortgage payment.

Q2: How is the monthly interest rate calculated?

A2: The annual interest rate is divided by 12 to get the monthly interest rate used in the mortgage payment formula.

Q3: What if my property taxes or insurance change annually?

A3: This calculator uses the figures you input. In reality, property taxes and insurance premiums can be reassessed and may increase or decrease over time. Your lender will adjust your monthly escrow payment accordingly.

Q4: When can I remove PMI?

A4: Generally, PMI can be canceled once your loan-to-value (LTV) ratio reaches 80% (meaning you have 20% equity). By law, it must automatically terminate when your LTV reaches 78%, assuming you are current on payments.

Q5: Does this calculator include closing costs?

A5: No, this calculator focuses solely on the ongoing monthly mortgage payment (PITI + PMI). Closing costs, which are paid upfront at the time of closing, are separate and include fees like appraisal fees, title insurance, loan origination fees, etc.

Q6: What is an escrow account?

A6: An escrow account is managed by your mortgage lender. They collect a portion of your monthly payment (for taxes and insurance) and hold it in this account, paying your property tax bills and homeowner's insurance premiums on your behalf when they come due.

Q7: How does a shorter loan term affect my payment?

A7: A shorter loan term (e.g., 15 years instead of 30) will result in a higher monthly principal and interest payment because you're paying off the same loan amount in less time. However, you'll pay significantly less interest over the life of the loan.

Q8: Is the calculated payment the final amount I'll pay each month?

A8: The calculated payment is an estimate of your PITI + PMI. Your actual total housing expense could be higher if you have additional costs like Homeowners Association (HOA) fees, or lower if your taxes/insurance are less than estimated or PMI is removed.