Calculation worksheet
Mortgage Payment Calculator
Estimate your monthly mortgage payment, total interest, and total payoff amount with one input-driven tool.
Answer
- Estimated monthly payment
- $2,212.24 USD
- Total interest paid
- $446,405.71 USD
- Total paid over loan
- $796,405.71 USD
What this calculator is for
When you shop for a mortgage, the monthly payment is usually the first number you care about—but the total interest you pay over the life of the loan can easily add up to six figures. This mortgage payment calculator lets you plug in a loan amount, interest rate, and term to see both sides of the story: what your payment looks like today and how much interest you may pay over time.
Use it to compare 15‑year vs 30‑year terms, test how rate changes affect your budget, and get a quick sense of whether a quote fits comfortably within your monthly cash flow before you talk with lenders or make offers.
Formula
The math this page uses
Monthly rate = APR ÷ 100 ÷ 12 Total payments (n) = Term (years) × 12 Monthly payment = P × [r(1 + r)^n] ÷ [(1 + r)^n − 1] Total paid = Monthly payment × n Total interest = Total paid − P
How it works
Mortgage payments for a standard fixed‑rate loan are based on an amortization formula that spreads repayment of principal and interest evenly over the term.
The calculator converts your annual interest rate (APR) into a monthly rate by dividing by 12 and converts your term in years into a total number of monthly payments.
It then applies the standard formula: Monthly payment = P × [r(1 + r)^n] ÷ [(1 + r)^n − 1], where P is the loan amount (principal), r is the monthly interest rate, and n is the total number of payments.
Once the monthly payment is known, total paid over the life of the loan is simply Monthly payment × n, and total interest is Total paid − Principal.
The tool returns all three figures so you can see how much of your payment goes toward interest versus principal over the full term, even though it does not show a detailed month‑by‑month amortization schedule.
Key caveat
Before you use the number
Does not include PMI, property taxes, homeowner’s insurance, HOA fees, or other charges—these can significantly change your total monthly housing cost.
Visual guide
Quick calculator insights
Use these at-a-glance cards, checklists, and comparison tables to understand what the calculator is showing before you change assumptions or act on the result.
What your payment covers
The main result is principal and interest only, so treat it as the loan payment layer—not the full cost of owning the home.
- Included
- P&I
- Principal repayment plus scheduled interest from the amortization formula.
- Not included
- PITI extras
- Property taxes, homeowner’s insurance, PMI, HOA dues, escrow changes, and closing costs are outside this estimate.
Payment breakdown cue
Early payments usually lean more toward interest; later payments lean more toward principal even when the monthly payment stays the same.
- Beginning of loan
- More interest
- Because the balance is highest, the interest portion is usually largest in the first years.
- End of loan
- More principal
- As the balance falls, more of each fixed payment reduces what you owe.
Rate and term trade-off
Small changes in rate or term can create large lifetime-cost differences, so compare scenarios before focusing on one monthly number.
- Lower monthly payment
- Often longer term
- A 30-year term can be easier on cash flow but usually costs more interest overall.
- Lower lifetime interest
- Often shorter term
- A 15-year term usually requires a higher payment but reduces years of interest.
15-year vs 30-year mortgage comparison
This table explains the usual trade-offs. Run your own loan amount and APR above to see the actual numbers for your scenario.
| Choice | Monthly payment | Total interest | Best for |
|---|---|---|---|
| 15-year fixed | Higher payment because the balance is repaid faster. | Usually much lower lifetime interest. | Borrowers who can comfortably afford the payment and want to reduce long-term cost. |
| 30-year fixed | Lower payment because repayment is spread across more months. | Usually much higher lifetime interest. | Borrowers who need more monthly flexibility or want cash flow for other priorities. |
Costs to add after this calculator
After you estimate principal and interest, layer in the other housing costs that lenders and budgets usually consider.
| Cost | Why it matters | Where to confirm it |
|---|---|---|
| Property taxes | Can materially change the monthly housing payment. | County tax records, listing data, or lender estimate. |
| Homeowner’s insurance | Required by most lenders and varies by home, location, and coverage. | Insurance quotes before closing. |
| PMI or mortgage insurance | May apply when the down payment or loan type requires it. | Loan estimate or lender disclosure. |
| HOA dues | Can affect affordability but may not be escrowed with the mortgage. | HOA documents or listing details. |
How to use this calculator
- 01Enter the loan amount you plan to borrow after your down payment (for example, $350,000).
- 02Enter the annual interest rate (APR) you have been quoted or want to test, and the term in years (commonly 15, 20, or 30).
- 03Review the estimated monthly payment, total interest paid, and total paid over the life of the loan.
- 04Adjust the rate and term to compare different scenarios—for example, a shorter term with a higher payment but lower lifetime interest, or a longer term with easier monthly cash flow.
Inputs explained
- Loan amount
- The principal you expect to borrow, typically the purchase price minus your down payment and any closing costs you roll into the loan. This does not include taxes, insurance, or other ongoing housing costs.
- Interest rate (APR)
- The annual percentage rate for your mortgage. APR reflects the interest rate plus certain finance charges; the calculator uses this as an annual rate and converts it to a monthly rate for amortization.
- Term length (years)
- The number of years over which you agree to repay the loan in equal monthly installments. Common fixed‑rate terms are 15 and 30 years, but some lenders offer other options such as 10 or 20 years.
Outputs explained
- Estimated monthly payment
- The estimated principal-and-interest payment due each month for the fixed-rate mortgage scenario you entered. This is not a full PITI housing payment because it excludes taxes, homeowner’s insurance, mortgage insurance, HOA dues, and other costs.
- Total interest paid
- The total amount of interest you would pay over the full loan term if you make only the scheduled monthly payments and the rate stays fixed.
- Total paid over loan
- The principal plus all scheduled interest paid across the life of the mortgage. This shows the long-term cost of borrowing before adding taxes, insurance, fees, or optional prepayments.
Worked examples
$350,000 loan at 6.5% for 30 years
- Monthly rate = 0.065 ÷ 12 ≈ 0.005416.
- Total payments = 30 × 12 = 360.
- Monthly payment is calculated using the amortization formula and comes out to roughly the low‑$2,200 range.
- Total paid over 30 years is Monthly payment × 360, and total interest is that amount minus $350,000.
$250,000 loan at 5.0% for 15 years
- Monthly rate = 0.05 ÷ 12 ≈ 0.004167.
- Total payments = 15 × 12 = 180.
- Monthly payment is higher than a 30‑year option, but total interest paid is much lower because you pay the loan off in half the time.
- Comparing this scenario to a 30‑year 5% loan highlights the trade‑off between monthly cash‑flow comfort and lifetime cost.
When to use it
- Comparing 15‑year vs 30‑year mortgage options to see how much monthly payment and lifetime interest differ between the two.
- Testing how a higher or lower interest rate—such as a rate lock or a change in market conditions—would impact your monthly budget.
- Estimating how much house you can afford by working backward from a target payment and adjusting the loan amount until the estimate fits your comfort zone.
- Sanity‑checking lender quotes for principal and interest (P&I) payments before considering taxes, insurance, and other housing costs.
Tips
- Remember that this calculator covers principal and interest only. To estimate your full housing payment (PITI), you will need to add property taxes, homeowner’s insurance, HOA dues, and any mortgage insurance separately.
- If you plan to make extra principal payments, consider pairing this tool with a mortgage payoff or extra payment calculator to see how much you could reduce your payoff time and total interest.
- Rates are often tied to points, credits, and your credit profile. Use this calculator to compare a few APR scenarios and then discuss the trade‑offs with your lender.
Limitations
- Does not include PMI, property taxes, homeowner’s insurance, HOA fees, or other charges—these can significantly change your total monthly housing cost.
- Assumes a fixed‑rate, fully amortizing mortgage with equal monthly payments and no balloon payment or interest‑only period.
- Does not model adjustable‑rate mortgages (ARMs), interest‑only loans, payment changes over time, or prepayment penalties.
Calculator guide
This mortgage payment calculator uses the standard amortization formula to estimate your monthly principal‑and‑interest payment, total interest paid, and total amount paid over the life of the loan. Enter your loan amount, APR, and term to see how different mortgage scenarios affect your budget and long‑term cost.
Because it focuses on principal and interest, the tool is ideal for quickly comparing fixed‑rate mortgage options before you layer in taxes, insurance, HOA dues, or mortgage insurance. You can run multiple scenarios in seconds to understand how rate changes or term length trade monthly affordability for lifetime interest savings.
Use the calculator alongside affordability, refinance, or extra‑payment tools to build a more complete picture of your housing plan and to prepare for conversations with lenders and real‑estate professionals.
Methodology & assumptions
- Uses the standard fixed-rate amortization formula for fully amortizing loans with equal monthly payments.
- Converts APR to a monthly rate by dividing by 12 and converts the loan term from years to months.
- For a 0% interest scenario, divides principal evenly across the number of monthly payments instead of applying the interest formula.
- Reports principal-and-interest estimates only; property taxes, homeowner’s insurance, mortgage insurance, HOA dues, closing costs, points, credits, and lender fees are outside this calculation.
- Assumes the rate and term remain fixed and that the borrower makes the scheduled payment every month with no extra principal payments.
FAQs
Does this calculator include taxes, insurance, or HOA dues?+
No. It focuses on principal and interest only. To estimate your full monthly housing payment, you’ll need to add property taxes, homeowner’s insurance, mortgage insurance (if applicable), and HOA dues separately.
Can I model extra principal payments with this calculator?+
This tool shows the baseline payment for a standard amortizing mortgage. To see how extra payments change payoff time and interest, use an amortization or payoff calculator that supports additional principal payments.
Does this work for adjustable‑rate mortgages (ARMs)?+
It assumes a fixed interest rate for the full term. You can use an ARM’s initial rate as an approximation, but actual payments may change when the rate resets according to your loan’s terms.
How do points and lender credits affect the calculation?+
Points and lender credits effectively change your APR. If you are considering paying points or taking credits, adjust the interest rate input to reflect the APR for each option and compare the resulting payments and total interest.
Is this enough to decide how much house I can afford?+
It is a helpful starting point for estimating principal and interest, but it does not account for taxes, insurance, other debts, or your broader budget. Use it alongside affordability and debt‑to‑income calculators or a full financial plan when deciding how much to borrow.
This mortgage payment calculator provides simplified principal‑and‑interest estimates using user‑entered assumptions. It does not include all costs of homeownership, does not model all mortgage types, and is not a substitute for lender disclosures or professional financial advice. Always confirm terms, payments, and total costs with your lender before making borrowing or homebuying decisions.