Mortgage Calculator

Calculate your monthly mortgage payment, total interest cost, and create a complete amortization schedule for your home loan.

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Written by Michael Torres, CFA
Senior Financial Analyst
JW
Fact-checked by Dr. James Wilson, PhD
Options Strategy Researcher
Financial PlanningFact-Checked

Input Values

$

Purchase price of the home.

%

Percentage of home price paid upfront (20% avoids PMI).

Length of the mortgage (15, 20, or 30 years are most common).

%

Annual mortgage interest rate.

$

Annual property tax amount.

$

Annual homeowner's insurance premium.

Results

Monthly Payment (P&I)
$0.00
Total Monthly (PITI)
$0.00
Loan Amount$0.00
Total Interest Paid$0.00
Total Cost of Home$0.00
Results update automatically as you change input values.

How Mortgage Payments Work

A mortgage is a loan used to purchase real estate, with the property itself serving as collateral. Your monthly mortgage payment consists of principal (the amount that reduces your loan balance), interest (the cost of borrowing), property taxes, and homeowner's insurance, commonly referred to as PITI. In the early years of a mortgage, the majority of each payment goes toward interest; as the loan matures, more goes toward principal. Understanding this amortization structure helps you make informed decisions about your mortgage.

The size of your monthly payment depends on four main factors: the loan amount (home price minus down payment), the interest rate, the loan term, and property taxes and insurance. A larger down payment reduces the loan amount and eliminates private mortgage insurance (PMI) if it reaches 20%. A shorter loan term (15 years vs. 30 years) results in higher monthly payments but significantly less total interest paid.

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The 28/36 Rule

Lenders typically follow the 28/36 rule: your mortgage payment (PITI) should not exceed 28% of your gross monthly income, and your total debt payments should not exceed 36%. These ratios help ensure you can comfortably afford your mortgage.

Mortgage Payment Formula

Monthly Mortgage Payment (Principal & Interest)
M = P × [r(1+r)^n] / [(1+r)^n - 1]
Where:
M = Monthly payment (principal and interest)
P = Principal loan amount
r = Monthly interest rate (annual rate / 12)
n = Total number of payments (years x 12)
30-Year vs 15-Year Mortgage Comparison ($280,000 Loan)
Feature30-Year at 6.5%15-Year at 5.75%
Monthly P&I$1,770$2,324
Total Interest$357,292$138,369
Total Cost$637,292$418,369
Interest SavedBaseline$218,923
Extra Monthly CostBaseline+$554
Mortgage Payment Calculation
Given
Home Price
$350,000
Down Payment
20% ($70,000)
Loan Amount
$280,000
Rate
6.5%
Term
30 years
Calculation Steps
  1. 1Monthly rate: 6.5% / 12 = 0.5417%
  2. 2Number of payments: 30 x 12 = 360
  3. 3Monthly P&I = $280,000 x [0.005417(1.005417)^360] / [(1.005417)^360 - 1]
  4. 4Monthly P&I = $1,770
  5. 5Property tax: $4,200 / 12 = $350
  6. 6Insurance: $1,800 / 12 = $150
  7. 7Total PITI: $1,770 + $350 + $150 = $2,270
  8. 8Total interest over 30 years: $357,292
Result
A $280,000 mortgage at 6.5% for 30 years costs $1,770/month in principal and interest, or $2,270/month including taxes and insurance. You will pay $357,292 in total interest over the life of the loan.

Strategies to Save on Your Mortgage

Reduce Your Mortgage Costs

1
Put 20% Down to Avoid PMI
Private mortgage insurance (PMI) costs 0.5-1% of the loan annually ($1,400-$2,800 on a $280,000 loan). A 20% down payment eliminates this cost entirely, saving thousands over the loan term.
2
Choose a 15-Year Term If Affordable
A 15-year mortgage has lower interest rates and dramatically less total interest paid ($218,923 less on a $280,000 loan at typical rates). The monthly payment is higher, but you build equity much faster.
3
Make One Extra Payment Per Year
Making 13 monthly payments instead of 12 (by adding 1/12 extra to each monthly payment) can shorten a 30-year mortgage by 4-5 years and save tens of thousands in interest.
4
Shop Multiple Lenders
Mortgage rates and fees vary significantly between lenders. Getting quotes from 3-5 lenders can save 0.25-0.50% on your rate. On a $280,000 loan, each 0.25% saves approximately $14,000 over 30 years.
5
Consider Refinancing When Rates Drop
If mortgage rates drop 0.75-1% below your current rate, refinancing can save substantial money. Calculate the break-even point (closing costs / monthly savings) to ensure you will own the home long enough to benefit.

Canadian Mortgage Differences

Canadian mortgages differ from US mortgages in several important ways. Canadian mortgages typically have 5-year fixed terms (though 25-year amortization), after which the rate resets or you renew. Canadian mortgage interest is compounded semi-annually (not monthly as in the US), resulting in a slightly lower effective rate. Down payments under 20% require mortgage default insurance (similar to PMI) from CMHC, Genworth, or Canada Guaranty. The minimum down payment is 5% on the first $500,000 and 10% on amounts above $500,000 (for homes up to $1.5M). Canadian mortgage interest is not tax-deductible (unlike the US), making the effective cost higher for Canadian homeowners.

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Total Cost Awareness

On a 30-year mortgage, you will typically pay more in interest than the original loan amount. A $280,000 loan at 6.5% costs $357,292 in interest, meaning you pay $637,292 total for a $280,000 loan. Understanding this total cost motivates strategies like extra payments and shorter terms that can save you hundreds of thousands of dollars.

Frequently Asked Questions

Using the 28/36 rule, multiply your gross monthly income by 0.28 to find the maximum mortgage payment. On a $100,000 salary ($8,333/month), the maximum PITI payment is about $2,333. After subtracting estimated taxes and insurance ($500/month), you have $1,833 for principal and interest, supporting approximately a $290,000 loan at 6.5%. With a 20% down payment, that means a home price of about $362,500. Always leave room below the maximum for comfort and unexpected expenses.

Sources & References

  • U.S. Securities and Exchange Commission (SEC) - Investor Education
  • Options Clearing Corporation (OCC) - Options Education
  • Chicago Board Options Exchange (CBOE) - Options Strategies
  • Hull, J.C. "Options, Futures, and Other Derivatives" (11th Edition, 2021)

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