Loans & Mortgages
How To Calculate A Mortgage Payment
A mortgage payment is more than principal and interest. Property tax, home insurance, HOA fees and private mortgage insurance all land on the same bill, and together they can add several hundred dollars a month.
Quick Answer
P&I = Loan x monthly rate / (1 - (1 + monthly rate)^-n); Total = P&I + tax + insurance + PMI + HOA
- Loan
- Home price minus the down payment
- rate
- Annual interest rate divided by twelve
- n
- Total number of monthly payments
- tax
- Annual property tax divided by twelve
Principal and interest come from the standard loan payment formula on the amount borrowed. Add the monthly share of property tax and insurance, any HOA fee, and PMI if the down payment is under twenty percent. A 400,000 home with 20% down at 6.5% over 30 years costs about 2,539 a month all in.
What Is A Mortgage Payment?
A mortgage payment is the amount a lender collects each month, and it is almost always larger than the headline interest rate suggests. The payment bundles principal and interest with the escrow items a lender insists on collecting alongside them, so the figure a borrower sees on a statement is the true monthly housing cost.
Principal is the part of the payment that reduces the balance owed. Interest is the lender's charge for the money, calculated on the outstanding balance each month. Early in the loan the interest dominates and very little principal is repaid; late in the loan the split reverses, which is why extra payments early save so much.
The payment is set by the standard amortisation formula, which spreads the loan into equal monthly instalments over the term. The formula needs three inputs: the amount borrowed, the monthly interest rate, and the number of payments. Every mortgage, car loan and student loan is priced the same way.
Property tax is collected monthly and held in escrow, then paid to the local authority when it falls due. Because it is based on the assessed value of the property, it can rise even when the mortgage payment itself is fixed, so it is worth checking the local rate rather than assuming.
Home insurance protects the property and is also escrowed. Lenders require it for the life of the loan, and the monthly figure is simply the annual premium divided by twelve. In areas prone to flood or wind damage, additional policies raise this component.
Private mortgage insurance, or PMI, is charged when the down payment is below twenty percent. It protects the lender, not the borrower, against the risk of default, and it typically costs a fraction of a percent of the loan each year. It usually falls away automatically once the balance reaches eighty percent of the original value.
HOA fees are paid to a homeowners association for shared maintenance and amenities. They are not escrowed by the lender but they are a fixed monthly cost of ownership, and in some buildings they can exceed the principal and interest.
The down payment changes the whole picture. A larger down payment reduces the loan, which lowers principal and interest, and it removes PMI entirely at twenty percent. On a 400,000 home the difference between ten and twenty percent down is both a smaller loan and the disappearance of an insurance charge.
The interest rate is the single biggest lever on principal and interest. Because the payment is set by compounding, a half-point change in the rate moves the monthly figure by tens of dollars and the total interest by tens of thousands over a thirty-year term.
The loan term trades payment against total cost. A fifteen-year loan has a much higher monthly payment but far less interest overall, while a thirty-year loan is cheaper monthly and more expensive in total. The right choice depends on cash flow and how long you plan to keep the loan.
A useful rule of thumb is that housing costs should stay under twenty-eight percent of gross monthly income. The full payment including tax, insurance and PMI is what counts against that limit, so a payment that looks affordable on principal and interest alone can breach the guideline once escrow is added.
The calculator models the figures entered and nothing more. It does not know your credit score, the lender's fees, or the exact local tax rate. Treat the result as a planning figure and confirm the real payment with a lender's loan estimate before committing.
The most common mistake is comparing a rent figure with a principal-and-interest figure. The true cost of owning includes tax, insurance, maintenance and PMI, and the fair comparison uses the all-in payment. Getting that right prevents the shock of a first mortgage statement.
Formula
P&I = Loan x r / (1 - (1 + r)^-n)
The standard amortisation formula on the amount borrowed.
| Symbol | Meaning | Unit | Notes |
|---|---|---|---|
| L | Loan amount | currency | Home price minus the down payment. |
| r | Monthly rate | rate | Annual rate divided by twelve. |
| n | Payments | count | Term in years multiplied by twelve. |
Total = P&I + tax/12 + insurance/12 + PMI + HOA
Adds the escrow and fee components to principal and interest.
| Symbol | Meaning | Unit | Notes |
|---|---|---|---|
| Tx | Property tax | currency | Annual property tax. |
| In | Insurance | currency | Annual home insurance premium. |
How To Calculate A Mortgage Payment
- 1
Work out the loan amount
Subtract the down payment from the home price. A 400,000 home with 20% down leaves a 320,000 loan.
- 2
Convert the rate to monthly
Divide the annual rate by twelve. At 6.5% the monthly rate is 0.005417, or about 0.5417%.
- 3
Apply the payment formula
Divide loan times monthly rate by one minus (1 + monthly rate) to the power of minus the number of payments. That gives principal and interest.
- 4
Add the escrow items
Divide the annual property tax and insurance by twelve, add any HOA fee, and add PMI if the down payment is below twenty percent.
- 5
Check it against the 28% rule
The full payment, including escrow, should stay under twenty-eight percent of gross monthly income. If it does not, the home may be a stretch.
Examples
Example 1: 400,000 home with 20% down
- Home price
- 400,000
- Down payment
- 20%
- Interest rate
- 6.5%
- Loan term
- 30 years
- Property tax
- 4,800
- Home insurance
- 1,400
- HOA
- 0
| Step | Calculation | Result |
|---|---|---|
| Loan amount | 400,000 x (1 - 0.20) | 320,000 |
| Principal and interest | loan payment formula | 2,022.62 |
| Property tax and insurance | 4,800 / 12 + 1,400 / 12 | 516.67 |
| PMI | down payment 20%, so no PMI | 0 |
| Total monthly payment | 2,022.62 + 516.67 + 0 | 2,539.28 |
Result: The all-in monthly payment is 2,539.28, made up of 2,022.62 of principal and interest plus 516.67 of escrow, with no PMI because the down payment is twenty percent.
Example 2: 300,000 home with 10% down and PMI
- Home price
- 300,000
- Down payment
- 10%
- Interest rate
- 6.5%
- Loan term
- 30 years
- Property tax
- 3,600
- Home insurance
- 1,200
- HOA
- 0
| Step | Calculation | Result |
|---|---|---|
| Loan amount | 300,000 x (1 - 0.10) | 270,000 |
| Principal and interest | loan payment formula | 1,706.58 |
| PMI at 0.5% a year | 270,000 x 0.005 / 12 | 112.50 |
| Property tax and insurance | 3,600 / 12 + 1,200 / 12 | 400 |
| Total monthly payment | 1,706.58 + 112.50 + 400 | 2,219.08 |
Result: With only ten percent down the payment is 2,219.08, and 112.50 of that is PMI that would disappear once the loan falls to eighty percent of the original value.
Calculator
Total monthly payment
$2,539.28
- Principal and interest
- $2,022.62
- Property tax
- $400.00
- Home insurance
- $116.67
- PMI
- $0.00
- Loan amount
- $320,000.00
Values update as you type. This calculator covers the single scenario its formula assumes — see Common Mistakes for what it leaves out.
Prefer a full-width tool? Open the A Mortgage Payment calculator page.
Common Mistakes
Comparing principal and interest with rent
The true cost of owning includes tax, insurance, PMI and maintenance. Comparing a rent figure with only principal and interest makes owning look cheaper than it is.
Forgetting PMI on a low down payment
Anything under twenty percent down usually adds PMI, which is a real monthly cost and disappears only once the balance falls to eighty percent of value.
Assuming property tax stays fixed
Tax is based on assessed value and can rise even when the mortgage payment does not. A large increase shows up as a higher escrow payment next year.
Ignoring HOA fees
Association fees can rival the mortgage payment in some buildings, and they are not part of the loan. Always add them to the housing cost.
Choosing a term by payment alone
A longer term lowers the monthly figure but raises total interest sharply. The cheapest monthly payment is rarely the cheapest loan.
Skipping the 28% check
Lenders may approve more than you can comfortably afford. Measuring the all-in payment against gross income is the borrower's own guardrail.
Treating the estimate as a loan estimate
The calculator models the inputs only. Real payments depend on fees, points and your credit score, so confirm with a lender's official estimate.
FAQ
What is included in a mortgage payment?
Principal and interest, the monthly share of property tax and home insurance, any PMI if the down payment is under twenty percent, and HOA fees where they apply. Together these are often called PITI.
How is principal and interest calculated?
With the amortisation formula: loan times monthly rate divided by one minus (1 + monthly rate) to the power of minus the number of payments. A 320,000 loan at 6.5% over 30 years is about 2,023 a month.
When does PMI go away?
Usually automatically once the balance falls to eighty percent of the original value, or earlier if you request removal with an appraisal. It is charged only when the down payment is below twenty percent.
Is a 15-year mortgage better than 30?
A fifteen-year loan has a higher monthly payment but far less total interest. Choose it if the payment is comfortable; choose thirty years if cash flow matters more.
Does the interest rate matter that much?
Yes. Because the payment compounds over the term, a half-point change moves the monthly figure by tens of dollars and the total interest by tens of thousands over thirty years.
How much house can I afford?
A common guideline caps the all-in payment at twenty-eight percent of gross monthly income. Use that against the full payment including escrow, not just principal and interest.
References
- [1]Consumer Financial Protection Bureau, Mortgage basics — https://www.consumerfinance.gov/owning-a-home/
- [2]Investopedia, How mortgage payments work — https://www.investopedia.com/mortgage-calculator-5080419
- [3]Consumer Financial Protection Bureau, Loan estimate explainer — https://www.consumerfinance.gov/owning-a-home/loan-estimate/