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How to Calculate Mortgage Payment: Formula, Examples and Tips

Calculate your mortgage payment using the formula M = P[r(1+r)^n]/[(1+r)^n-1]. See examples for different loan amounts and learn what's included.

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David Thompson

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To calculate your mortgage payment, use the formula M = P[r(1+r)^n]/[(1+r)^n-1], where P is the loan amount, r is the monthly interest rate (annual rate ÷ 12), and n is the number of payments (loan term in months). For a $300,000 loan at 6.5% for 30 years, the monthly principal and interest payment is $1,896. Add property taxes, insurance and PMI for your total monthly payment.

The Mortgage Payment Formula

The standard amortization formula calculates your fixed monthly payment.

Formula Breakdown

M = P[r(1+r)^n] / [(1+r)^n - 1]

Where:

  • M = Monthly payment (principal and interest only)
  • P = Principal (loan amount)
  • r = Monthly interest rate (annual rate ÷ 12)
  • n = Total number of payments (years × 12)

Step-by-Step Calculation

Example: $250,000 loan at 6% for 30 years

Step 1: Convert annual rate to monthly rate

  • 6% ÷ 12 = 0.5% = 0.005

Step 2: Calculate total number of payments

  • 30 years × 12 = 360 payments

Step 3: Calculate (1+r)^n

  • (1 + 0.005)^360 = 6.0226

Step 4: Apply the formula

  • M = $250,000 × [0.005 × 6.0226] / [6.0226 - 1]
  • M = $250,000 × [0.0301] / [5.0226]
  • M = $250,000 × 0.005996
  • M = $1,499 per month

Quick Mortgage Payment Examples

Here are calculated payments for common loan amounts at various rates.

$200,000 Loan (30-year fixed)

Interest RateMonthly P&I
5.0%$1,074
5.5%$1,136
6.0%$1,199
6.5%$1,264
7.0%$1,331
7.5%$1,398

$300,000 Loan (30-year fixed)

Interest RateMonthly P&I
5.0%$1,610
5.5%$1,703
6.0%$1,799
6.5%$1,896
7.0%$1,996
7.5%$2,098

$400,000 Loan (30-year fixed)

Interest RateMonthly P&I
5.0%$2,147
5.5%$2,271
6.0%$2,398
6.5%$2,528
7.0%$2,661
7.5%$2,797

$500,000 Loan (30-year fixed)

Interest RateMonthly P&I
5.0%$2,684
5.5%$2,839
6.0%$2,998
6.5%$3,160
7.0%$3,327
7.5%$3,496

What’s Included in Your Mortgage Payment?

Your full monthly payment includes more than just principal and interest.

PITI: The Four Components

P - Principal: The portion that reduces your loan balance

I - Interest: The cost of borrowing money

T - Taxes: Property taxes collected monthly and paid annually

I - Insurance: Homeowners insurance premium

Additional Costs

PMI (Private Mortgage Insurance): Required if you put less than 20% down. Adds 0.5-1.5% of loan amount annually.

HOA Fees: If your property is in a homeowners association. Not escrowed—paid separately.

MIP (Mortgage Insurance Premium): For FHA loans. Similar to PMI but structured differently.

Full Payment Example

$350,000 home, 10% down, 6.5% rate:

ComponentMonthly Cost
Principal & Interest$1,989
Property Taxes$365
Homeowners Insurance$150
PMI$130
Total Payment$2,634

The “advertised” P&I payment of $1,989 becomes $2,634 when you add everything.

15-Year vs. 30-Year Payments

Shorter terms mean higher payments but significant interest savings.

Payment Comparison

$350,000 loan:

TermRatePaymentTotal Interest
30 years6.5%$2,212$446,362
20 years6.25%$2,566$265,799
15 years5.75%$2,912$174,160

Interest Savings

Choosing 15 years over 30 years:

  • Higher monthly payment: +$700
  • Interest saved: $272,202
  • Years saved: 15 years

The 15-year payment is 32% higher, but you pay 61% less interest.

How Down Payment Affects Your Payment

A larger down payment reduces your loan amount and eliminates PMI at 20%.

Payment by Down Payment

$400,000 home at 6.5%:

Down PaymentLoan AmountP&IPMITotal
3% ($12,000)$388,000$2,452$323$2,775
5% ($20,000)$380,000$2,401$253$2,654
10% ($40,000)$360,000$2,275$180$2,455
20% ($80,000)$320,000$2,022$0$2,022

Going from 5% to 20% down saves $632/month—that’s $7,584 per year.

How Interest Rate Affects Your Payment

Small rate changes have big impacts on monthly payments and total cost.

Rate Impact on $300,000 Loan

RateMonthly P&ITotal Interest (30 yr)
5.0%$1,610$279,767
5.5%$1,703$313,212
6.0%$1,799$347,515
6.5%$1,896$382,633
7.0%$1,996$418,527
7.5%$2,098$455,157
8.0%$2,201$492,467

Each 0.5% rate increase adds about $100/month to the payment.

The Importance of Rate Shopping

Getting 6.5% instead of 7% on $350,000:

  • Monthly savings: $117
  • 30-year savings: $42,120

That’s why comparing rates from multiple lenders matters.

Calculating Affordability

Use your payment calculation to determine what you can afford.

The 28/36 Rule

28% rule: Housing costs should be under 28% of gross monthly income

36% rule: Total debt payments should be under 36% of gross monthly income

Affordability Example

Income: $8,000/month gross

28% of income: $2,240 max housing payment

Working backward:

  • Subtract taxes ($350): $1,890
  • Subtract insurance ($125): $1,765
  • Max P&I: $1,765

At 6.5%, $1,765 P&I = approximately $295,000 loan

With 10% down, that’s roughly a $328,000 home

Adjustable Rate Mortgage Payments

ARM payments can change after the initial fixed period.

How ARM Payments Change

5/1 ARM example:

  • Initial rate: 5.5% (fixed for 5 years)
  • After year 5: Rate adjusts annually based on index + margin
  • Caps limit how much rate can change

ARM Payment Calculation

$300,000 5/1 ARM:

YearRateMonthly P&I
1-55.5%$1,703
6 (rate rises 2%)7.5%$2,064
7 (rate rises 2%)9.5%$2,453

If rates rise to the cap, payments could increase significantly. Budget for potential increases.

Extra Payments Impact

See how extra payments reduce your balance and interest.

$200 Extra Monthly on $300,000 at 6.5%

MetricStandard+$200/month
Monthly payment$1,896$2,096
Payoff time30 years23.5 years
Total interest$382,633$289,412
Interest saved$93,221

One Extra Payment Per Year

Making one extra payment annually (or $158/month extra):

MetricStandard+1 Payment/Year
Payoff time30 years25.5 years
Total interest$382,633$317,500
Interest saved$65,133

Payment Calculation Tools

Online Calculators

Most mortgage websites offer free calculators:

  • Bankrate
  • NerdWallet
  • Zillow
  • Your lender’s website

Enter loan amount, rate, term and down payment for quick estimates.

Spreadsheet Formula

In Excel or Google Sheets, use the PMT function:

=PMT(rate/12, term*12, -loan_amount)

Example for $300,000 at 6.5% for 30 years: =PMT(0.065/12, 360, -300000) Result: $1,896.20

Rule of Thumb

For quick estimates at current rates (around 6.5%):

  • Every $100,000 borrowed ≈ $632/month P&I
  • $200,000 ≈ $1,264/month
  • $300,000 ≈ $1,896/month
  • $400,000 ≈ $2,528/month

Frequently Asked Questions

How do you calculate mortgage payment manually?

Use the formula M = P[r(1+r)^n]/[(1+r)^n-1]. Convert the annual rate to monthly (divide by 12), calculate total payments (years × 12), then apply the formula. Or use a financial calculator or spreadsheet for easier calculation.

What is the monthly payment on a $300,000 mortgage?

At 6.5% for 30 years, the principal and interest payment is $1,896. Add property taxes ($300), insurance ($125) and PMI if applicable (~$150) for a total around $2,470/month.

How much is a $400,000 mortgage per month?

At 6.5% for 30 years, the principal and interest payment is $2,528. With taxes, insurance and potential PMI, expect $3,000-$3,300 total monthly payment depending on your location and down payment.

Does mortgage payment include property taxes?

Usually yes. Most lenders require an escrow account that collects taxes and insurance monthly. Your payment includes these amounts, and the lender pays the bills when due. Some borrowers waive escrow and pay directly.

Why is my mortgage payment mostly interest?

Early in your loan, the balance is highest. Since interest is calculated on the balance, more of your payment covers interest. As you pay down principal over time, the interest portion shrinks and principal portion grows.

Can I lower my mortgage payment?

Yes. Options include: refinancing to a lower rate, extending your term (increases total interest), removing PMI at 20% equity, appealing property tax assessment, or shopping for cheaper homeowners insurance.

Tags: mortgage calculator payment formula monthly payment mortgage math
S

Sarah Mitchell

Licensed Mortgage Broker, 15+ Years Experience

Sarah has helped thousands of families navigate the mortgage process. She specializes in making complex loan information easy to understand.

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