Mortgage Payment Calculator

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

Mortgage Calculator

A mortgage calculator helps you estimate monthly payments and total cost of a home loan. Understanding these numbers is essential before buying a home.

Conversion Formula

M = P × [r(1+r)^n] / [(1+r)^n - 1]

Uses the standard amortization formula where P is the loan amount (home price minus down payment), r is the monthly rate, and n is total monthly payments.

Step-by-Step Examples

$350,000 home, $70,000 down, 6.5%, 30yr = $1,770.27/month

Loan: $280,000; Total interest: $357,297

$250,000 home, $50,000 down, 7%, 15yr = $1,798.65/month

Loan: $200,000; Total interest: $123,757

History

The modern mortgage originated in 1930s America when the Federal Housing Administration created long-term, fixed-rate mortgages to stabilize the housing market.

Common Use Cases

  • Home buying decisions
  • Refinancing analysis
  • Comparing loan offers
  • Budget planning for homeownership

Frequently Asked Questions

How much house can I afford?

A common guideline is the 28/36 rule: spend no more than 28% of gross income on housing and 36% on total debt.

What is the difference between 15 and 30 year mortgages?

A 15-year mortgage has higher monthly payments but lower total interest. A 30-year mortgage is more affordable monthly but costs significantly more in interest.

Should I put 20% down?

20% down avoids PMI (private mortgage insurance) and gets you better rates. But FHA loans allow as little as 3.5% down.

What is included in a mortgage payment?

PITI: Principal, Interest, property Taxes, and homeowner's Insurance. This calculator shows P&I; add taxes and insurance separately.

How does interest rate affect my payment?

Each 1% increase in rate on a $300,000 loan adds roughly $180/month to the payment.

What is PMI?

Private Mortgage Insurance is required when your down payment is less than 20%. It typically costs 0.5-1% of the loan amount annually.

Can I pay off my mortgage early?

Most mortgages allow extra payments without penalty. Even $100 extra per month can shave years off a 30-year mortgage.