How to Calculate Mortgage Payments
For most buyers, a monthly mortgage payment feels like something only a lender can produce after a credit pull and a stack of paperwork. In reality, it comes from a formula you can understand, verify, and use yourself right now, before you speak to anyone.
This guide walks you through exactly how to calculate mortgage payments: the math behind the number, a step-by-step real example, the factors that push payments up or down, and why your total monthly cost is almost always higher than the figure a rate sheet shows.
What's Actually Inside a Mortgage Payment?
Principal: This is the portion that chips away at your loan balance. In the early years of a long-term mortgage, this is a surprisingly small share of each payment.
Interest: it is the lender's cost for extending credit. Interest dominates your early payments and gradually shrinks over time, it's a process called amortization. By year 10 of a 30-year loan, your payment mix starts shifting meaningfully toward principal.
Taxes: Taxes are usually collected monthly by your lender and held in an escrow account, then remitted to your local taxing authority when due. Your lender estimates these based on the assessed value of the property.
Insurance: It covers, at minimum, a homeowner's policy (required by virtually every lender) and, if your down payment is below 20% on a conventional loan. FHA loans carry their own mortgage insurance premiums (MIP) regardless of down payment size.
When a lender quotes you a payment or when you use a basic mortgage payment formula, the calculation covers principal and interest only. Taxes and insurance are layered on top.
The Mortgage Payment Formula
The formula used to calculate your mortgage payment on a fixed-rate loan is:
M = P × [r(1 + r)ⁿ] ÷ [(1 + r)ⁿ – 1]
Where:
- M = your monthly mortgage payment (principal + interest)
- P = the principal loan amount (purchase price minus your down payment)
- r = your monthly interest rate (annual rate divided by 12)
- n = total number of monthly payments (loan term in years × 12)
This is the same mortgage payment formula every bank, credit union, and mortgage lender runs on a fixed-rate loan. It accounts for compound interest and is structured so the loan reaches a zero balance on exactly the final payment of your term.
How to Calculate Your Mortgage Payment
Let's run through a real scenario rather than leaving this abstract.
You're purchasing a $435,000 home with a 10% down payment ($43,500) on a 30-year fixed mortgage at a 6.75% annual interest rate.
Step 1 — Determine the loan amount (P)
$435,000 – $43,500 = $391,500
Step 2 — Convert annual rate to monthly rate (r)
6.75% ÷ 12 = 0.5625%, or 0.005625 as a decimal
Step 3 — Calculate the total number of payments (n)
30 years × 12 months = 360
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Step 4 — Apply the formula
(1.005625)³⁶⁰ ≈ 7.688
- M = 391,500 × [0.005625 × 7.688] ÷ [7.688 – 1]
- M = 391,500 × [0.04325] ÷ [6.688]
- M = 391,500 × 0.006467
- M = $2,532/month (principal and interest only)
Now add the real-world layers:
- Property taxes (estimated at 1.1% of value annually): ~$399/month
- Homeowner's insurance (estimated): ~$130/month
- PMI at 0.65% annually (since down payment < 20%): ~$212/month
Total estimated monthly PITI + PMI: ~$3,273/month
That's the number you actually budget around, not the $2,532 headline figure. Understanding this gap is one of the most important things a first-time buyer can absorb before shopping for a home.

How Your Loan Term Changes Everything
Using the same $391,500 loan at 6.75%, compare what different terms actually cost:
On a 30-year fixed mortgage, your principal and interest payment is approximately $2,532/month. Your total interest paid over the life of the loan exceeds $520,000, more than the original loan amount itself.
On a 15-year fixed mortgage, the monthly payment climbs to approximately $3,466/month. But total interest paid drops to around $231,000, a savings of nearly $290,000. You also build equity at nearly twice the speed.
The 15-year loan is not automatically the better choice. It depends entirely on income stability, other financial priorities, and how long you intend to stay in the property. But running both numbers before you apply is the only way to make that decision with clear eyes.
How Interest Rate Affects Your Monthly Payment
Rate differences that seem small on paper have enormous consequences over 30 years. On a $391,500 loan:
- At 6.25%, your monthly P&I payment is approximately $2,410.
- At 6.75%, it rises to approximately $2,532/month.
- At 7.25%, it reaches approximately $2,670/month.
That $260/month gap, compounded over a 30-year term, represents more than $93,600 in additional interest paid. This is precisely why improving your credit score before applying, buying down your rate with points, or timing your lock strategically can be among the highest-return financial decisions in the homebuying process.
PMI, Down Payment, and the 80% Threshold
Your down payment reduces your principal (lowering your future payments) and determines whether you'll owe PMI.
On conventional loans, PMI typically ranges from 0.5% to 1.5% of the loan amount annually, split into monthly installments and added to your payment. None of it reduces your balance or builds equity. Once your loan-to-value ratio (LTV) drops to 80%, you can formally request PMI removal, or it will be canceled automatically at 78% LTV under the Homeowners Protection Act.
FHA loans work differently. An upfront mortgage insurance premium (MIP) of 1.75% of the loan amount is charged at closing (or rolled into the loan), plus an annual premium between 0.45% and 0.85%, depending on loan term and LTV. For many FHA borrowers, MIP persists for the life of the loan. This is a key distinction when comparing FHA versus conventional options and a figure that should always appear in your full payment estimate.
Use a Mortgage Calculator
The formula gives you the mechanics, but for real-time scenario testing, nothing replaces an accurate, purpose-built tool.
Rize Mortgage's Mortgage Calculator runs the full calculation instantly: plug in your purchase price, down payment, interest rate, and loan term, and you get a complete monthly breakdown of principal, interest, estimated taxes, and insurance combined into a true PITI estimate.
Whether you're early in your search or validating a loan offer, using a Mortgage Payment Calculator before you sit down with a lender is the single best way to walk into that conversation knowing your numbers.
Conclusion
Learning how to calculate mortgage payments isn't about memorizing a formula; it's about eliminating the uncertainty that makes the biggest financial decision of most people's lives feel unnecessarily opaque. When you understand the mortgage payment formula, know what PITI means, and can model how rate changes or different loan terms affect your budget, you show up to every lender conversation as an informed buyer, not a passive one.
Run your numbers now with Mortgage Calculator. It's free, takes under a minute, and gives you the clarity to move forward with confidence.
FAQs
1. What is the mortgage payment formula, and how do I use it?
The standard mortgage formula is M = P × [r(1+r)ⁿ] ÷ [(1+r)ⁿ – 1], where P is your loan amount, r is the monthly interest rate (annual rate divided by 12), and n is the total number of payments (years × 12). This calculates your principal and interest payment only. Property taxes, homeowner's insurance, and PMI are estimated separately and added to arrive at your full monthly obligation.
2. How can I quickly estimate my monthly mortgage payment?
For every $100,000 borrowed at a 7% interest rate on a 30-year mortgage, expect roughly $665/month in principal and interest. For a precise number reflecting your actual loan amount, rate, and term, use a Mortgage Calculator.
3. Does a mortgage calculator include taxes and insurance?
It depends on the tool. Rize Mortgage's Mortgage Payment Calculator includes separate fields for property taxes and homeowner's insurance, so your estimate reflects the complete PITI payment, not just the P&I portion that most rate quotes show by default.
4. How much does a 1% difference in interest rate actually cost me?
On a $390,000 loan over 30 years, a 1% rate increase adds approximately $225–$235/month to your principal and interest payment, and roughly $81,000–$85,000 in total interest over the full loan term. Even a 0.5% difference is worth $40,000 or more over a 30-year mortgage.
5. When does PMI go away on a conventional mortgage?
PMI on a conventional loan is required to be automatically cancelled when your loan balance reaches 78% of the original purchase price, per the Homeowners Protection Act. You can also request cancellation when you reach 80% LTV, provided your payment history is in good standing. FHA mortgage insurance premiums operate under different rules and, for loans with a down payment below 10%, typically remain for the life of the loan.
Start your mortgage journey with clear guidance and real numbers. See what you qualify for today.