π° Finance
π‘ π‘ How to Calculate Your Monthly Mortgage Payment
Learn how to calculate your monthly mortgage payment using the PITI formula. Covers principal, interest, taxes, insurance, and the 28/36 affordability rule with examples.
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The monthly mortgage payment is one of the most important numbers in personal finance. Most people focus on the purchase price of a home, but the monthly payment is what actually shapes your budget for the next 15 to 30 years. Understanding how that number is calculated β and what it includes β helps you make smarter decisions about how much home you can truly afford.
The Mortgage Payment Formula
The base mortgage payment (principal + interest only) is calculated with the standard loan amortization formula:
M = P Γ [r(1+r)βΏ] Γ· [(1+r)βΏ β 1]
Where:
- M = Monthly payment
- P = Principal (loan amount = home price minus down payment)
- r = Monthly interest rate = Annual rate Γ· 12
- n = Number of monthly payments (loan term Γ 12)
Worked Example: $350,000 Home, 7% Rate, 30 Years
- Down payment (20%): $70,000 β Loan amount (P): $280,000
- Monthly rate (r): 7% Γ· 12 = 0.5833% = 0.005833
- Payments (n): 30 Γ 12 = 360
- M = $280,000 Γ [0.005833 Γ (1.005833)Β³βΆβ°] Γ· [(1.005833)Β³βΆβ° β 1]
- M = $280,000 Γ [0.005833 Γ 8.116] Γ· [8.116 β 1]
- M = $280,000 Γ 0.04734 Γ· 7.116 = $1,863/month (principal + interest)
Total paid over 30 years: $1,863 Γ 360 = $670,680 | Total interest: $390,680
PITI: Your Real Monthly Mortgage Payment
The principal + interest calculation above is just the starting point. Your actual monthly payment to the lender typically includes four components, known as PITI:
- P β Principal: The portion that reduces your loan balance
- I β Interest: The cost of borrowing
- T β Property Taxes: Typically collected monthly by your lender and paid to the local government annually. Average US rate: 1.1% of home value per year. On a $350,000 home: $350,000 Γ 1.1% Γ· 12 = $321/month
- I β Insurance: Homeowners insurance, required by all lenders. Average US cost: about $200/month, but varies widely by location and home value.
Total PITI payment for our example: $1,863 + $321 + $200 = ~$2,384/month
Private Mortgage Insurance (PMI)
If your down payment is less than 20% of the purchase price, lenders typically require PMI β insurance that protects the lender (not you) if you default. PMI typically costs 0.46%β1.5% of the loan amount annually.
On a $280,000 loan at 1% PMI: $280,000 Γ 1% Γ· 12 = $233/month extra.
PMI can be cancelled once your equity reaches 20% of the original purchase price β typically after several years of payments and/or home price appreciation. Request cancellation in writing when you reach 20% equity; lenders must remove it automatically at 22% equity.
The 28/36 Affordability Rule
Financial experts and most lenders use the 28/36 rule to determine how much mortgage is affordable:
- 28% rule: Your monthly housing costs (PITI) should not exceed 28% of your gross monthly income.
- 36% rule: Your total monthly debt payments (housing + all other debts) should not exceed 36% of gross monthly income.
Example: Gross monthly income = $7,000
- Maximum housing payment (28%): $7,000 Γ 0.28 = $1,960/month
- Maximum total debt (36%): $7,000 Γ 0.36 = $2,520/month
- If you have $400/month in car loan and student loan payments, your maximum mortgage is $2,520 β $400 = $2,120/month
Note: FHA loans allow a 31/43 ratio. Some conventional lenders approve up to 43% back-end DTI for strong borrowers. The 28/36 rule is a guideline β your comfort level matters too.
Fixed-Rate vs. Adjustable-Rate Mortgages (ARM)
Fixed-Rate Mortgage
The interest rate β and therefore the principal + interest payment β stays the same for the entire loan term. Predictable, safe, ideal for long-term homeowners. Currently the most popular choice in the US.
Adjustable-Rate Mortgage (ARM)
The interest rate is fixed for an initial period (typically 3, 5, or 7 years), then adjusts annually based on a market index. ARMs typically start with lower rates than 30-year fixed mortgages. A 5/1 ARM means the rate is fixed for 5 years, then adjusts every 1 year. Risk: if rates rise significantly, your payment could increase substantially after the fixed period ends.
15-Year vs. 30-Year Mortgage: The Real Trade-off
On the same $280,000 loan:
| Term |
Rate |
Monthly P+I |
Total Interest |
| 30-year fixed | 7.0% | $1,863 | $390,680 |
| 15-year fixed | 6.35% | $2,434 | $158,120 |
| Monthly extra cost of 15-year | +$571/mo |
| Interest savings with 15-year | $232,560 saved |
How Your Credit Score Affects Your Rate
Mortgage rates vary significantly by credit score. According to CFPB data, on a $300,000 30-year mortgage:
- 760+ credit score: ~7.0% rate β $1,996/month
- 700β759 score: ~7.2% rate β $2,037/month
- 650β699 score: ~7.7% rate β $2,131/month
- 620β649 score: ~8.4% rate β $2,284/month
A 100-point credit score improvement can save $100β$300/month in mortgage payments β that's $36,000β$108,000 over 30 years. Improving your score before applying is one of the highest-return financial moves available to homebuyers.
Closing Costs: The Upfront Payment Often Forgotten
Beyond the down payment, buying a home involves closing costs typically ranging from 2%β6% of the loan amount, including:
- Origination fees and points
- Appraisal fee ($300β$700)
- Title insurance ($1,000β$2,500)
- Attorney/escrow fees
- Prepaid property taxes and insurance
On a $280,000 loan, closing costs of 3% add $8,400 to your upfront costs. Budget for this separately from your down payment.
❓ Frequently Asked Questions
How do I calculate my monthly mortgage payment?▼
Use the formula: M = P Γ [r(1+r)βΏ] Γ· [(1+r)βΏ β 1], where P is the loan amount, r is the monthly rate (annual rate Γ· 12), and n is the number of months. For a $280,000 loan at 7% for 30 years, the base payment is $1,863. Add property taxes and insurance to get your full monthly obligation.
What is PITI in a mortgage payment?▼
PITI stands for Principal, Interest, Taxes, and Insurance. Most lenders collect your property tax and homeowners insurance as part of your monthly payment and hold it in escrow. Your actual monthly payment is higher than the base principal + interest amount by the tax and insurance portions.
What is the 28/36 mortgage affordability rule?▼
The 28/36 rule states your monthly housing costs should not exceed 28% of gross monthly income, and total monthly debts should not exceed 36%. If you earn $7,000/month, your PITI should stay below $1,960. If you have $400 in other debts, your maximum mortgage payment under the 36% rule is $2,520 β $400 = $2,120.
When can I cancel private mortgage insurance (PMI)?▼
PMI can typically be cancelled when your equity reaches 20% of the original purchase price. You can request cancellation in writing. Lenders are legally required to automatically cancel PMI when your loan balance reaches 78% of the original value (22% equity), per the Homeowners Protection Act.
Should I choose a 15-year or 30-year mortgage?▼
A 15-year mortgage saves enormous amounts in interest (typically $150,000β$250,000 on a $300,000 loan) and has a lower rate, but requires a significantly higher monthly payment. A 30-year mortgage is more affordable monthly, giving you flexibility to invest the difference. The right choice depends on your income stability and financial goals.