Mortgage & Loan Calculator

Calculate your monthly payment, total interest cost, and full amortization schedule in seconds. Adjust home price, down payment, interest rate, and loan term to compare scenarios.

$450,000
20% — $90,000
6.80%
30 Years
Monthly Payment
$—
Principal + Interest only · taxes/insurance extra
Loan Amount
$—
Down Payment $
$—
LTV Ratio
—%
PMI required above 80%
Total Interest Paid
$—
Total Cost of Loan
Principal + all interest over life of loan
$—
Interest vs Principal Breakdown
■ Principal ■ Interest
Month Payment Principal Interest Balance

How Mortgage Payments Work

A fixed-rate mortgage payment is calculated using the amortization formula: each payment covers the interest accrued since the last payment, with the remainder reducing the principal balance. Early in the loan, most of each payment goes toward interest; as the balance shrinks, more goes to principal.

The Formula

M = P × [r(1+r)ⁿ] ÷ [(1+r)ⁿ − 1] — where M is the monthly payment, P is the loan principal, r is the monthly interest rate (annual ÷ 12), and n is the total number of payments.

15-Year vs 30-Year

On a $360,000 loan at 6.8%, a 30-year mortgage costs ~$2,341/month and ~$483,000 in total interest. The same loan on a 15-year term costs ~$3,195/month but only ~$215,000 in total interest — saving nearly $268,000.

PMI — Private Mortgage Insurance

If your down payment is less than 20%, lenders typically require PMI. This adds roughly 0.5–1% of the loan balance per year (~$50–$100/month on a $200,000 loan) until you reach 20% equity. Once you hit 80% LTV, you can request PMI cancellation.

What's Not Included

This calculator shows principal and interest only. Your actual monthly payment will also include property taxes (0.5–2.5% of home value per year), homeowner's insurance (~$150/month), and potentially HOA fees.

Frequently Asked Questions

How is a monthly mortgage payment calculated?

Using the standard amortization formula: M = P[r(1+r)^n] / [(1+r)^n − 1], where P is the loan principal, r is the monthly interest rate (annual rate ÷ 12), and n is the number of monthly payments (years × 12).

Should I choose a 15-year or 30-year mortgage?

A 15-year mortgage builds equity faster and costs far less in total interest — typically 50–60% less than a 30-year — but payments are 30–45% higher. Choose 15-year if you can comfortably afford the payments. Choose 30-year if lower monthly payments give you important cash-flow flexibility or if you plan to invest the difference.

What is PMI and when can I remove it?

Private Mortgage Insurance (PMI) protects the lender if you default. It's required when your loan-to-value ratio exceeds 80% (i.e., down payment less than 20%). Under federal law (Homeowners Protection Act), PMI must be automatically cancelled when you reach 78% LTV based on the original amortization schedule. You can request cancellation at 80% LTV.

What is an amortization schedule?

A month-by-month breakdown of every payment showing how much goes to interest vs. principal, and the remaining balance. At the start of a 30-year mortgage, roughly 80% of each payment is interest. By year 20, that ratio flips.

How much house can I afford?

The traditional guideline is that your monthly housing costs (mortgage + taxes + insurance) should not exceed 28% of your gross monthly income, and total debt should stay under 36% (the "28/36 rule"). At 6.8% interest, a 30-year loan of $360,000 costs ~$2,341/month P&I — meaning you'd want gross income of ~$8,375/month ($100,500/year) to qualify comfortably.

Does paying extra principal save money?

Yes, significantly. On a $400,000 30-year loan at 6.8%, adding just $200/month to your payment saves over $68,000 in interest and pays off the loan 5 years early. Any extra payment goes directly to principal reduction, eliminating future interest on that amount.

Current Rates

ProductRate
30-yr Fixed6.80%
15-yr Fixed6.15%
5/1 ARM6.10%
FHA 30-yr6.55%
VA 30-yr6.30%

Rates are indicative. Check with lenders for current offers.