Mortgage math

See exactly how each payment breaks into principal and interest.

In year one of a typical 30-year mortgage at current rates, only about 14% of your payment goes to principal — the other 86% is interest. By year fifteen, the ratio has shifted past 35% principal. Year by year, the math is fully knowable. This calculator runs it for any loan and shows the complete schedule.

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Loan inputs

Home price
$
Down payment
%
Mortgage rate
%
Term
yrs
15-year and 30-year are most common in the U.S. 20-year and 25-year exist but are less standard.
How this is calculated

Standard amortization formula. Monthly payment = P × (r × (1+r)^n) / ((1+r)^n − 1), where P is loan amount, r is monthly rate (annual / 12), n is total months (years × 12). Each month: interest = balance × monthly rate; principal = payment − interest; new balance = old balance − principal.

What this includes: principal and interest only. Property tax, insurance, HOA, PMI, and maintenance are not part of the amortization schedule — those are separate line items in your full monthly cost. The True Monthly Cost calculator covers the complete monthly figure.

What this doesn't include: rate changes (this assumes fixed-rate), escrow account dynamics, missed payments, modifications, or extra payments. For extra-payment scenarios, use the Early Payoff calculator.

Read the full methodology →Defaults reviewed May 2026

Your loan, in full
Monthly P&I
Total interest paid
Total of payments
Loan amount (financed)
Total months in term
Year-1 principal vs. interest
Year-15 principal vs. interest
View:
Year Payments Principal Interest Balance Equity %
Note: "Equity %" is the principal-paydown percentage of the original loan. Real equity also reflects home appreciation (or depreciation) over time, which this schedule doesn't model.
Why this matters

The early years of a mortgage are mostly interest.

Most U.S. buyers don't realize how front-loaded mortgage interest actually is. On a $340,000 loan at 6.75% over 30 years, the first year's payments split roughly 14% to principal and 86% to interest. By year five, the split has only shifted to about 17% principal. The fifteenth year is the rough crossover point where principal exceeds interest. Years 25-30 are mostly principal.

This isn't a flaw or a trick — it's how amortization works. Interest accrues on the remaining balance each month, so when the balance is highest (at origination), interest is highest. As you pay down the balance, less interest accrues, more of each fixed payment goes to principal, and the curve accelerates.

Why this changes how you think about prepayment

Because interest is front-loaded, extra payments made early in the loan have an outsized effect on total interest paid. An extra $200/month starting in month 1 of a 30-year mortgage saves significantly more total interest than the same extra payments starting in month 60. The principle: every dollar of extra principal payment eliminates the interest that would have accrued on that dollar for every remaining month of the loan. The earlier you pay it, the more months of saved interest.

The Early Payoff calculator models extra-payment scenarios directly. The amortization schedule above shows the baseline (no extras); compare to see how much faster the principal curve climbs with even modest extras.

Why this changes how you think about hold period

If you sell after 7 years on a 30-year loan, you've paid down about 12% of the loan principal — meaningful but not huge. The other 88% gets paid off from the sale proceeds. Combined with appreciation (or its absence), this is why hold period matters so much for the financial case for buying: short holds mean most of your monthly payment was interest, and most of your "equity" came from the down payment, not paydown.

The flip: if you hold 30 years, you build full ownership through paydown alone, regardless of appreciation. That's the structural strength of long holds in U.S. homeownership.

What 15-year vs. 30-year actually does to the math

A 15-year mortgage on the same $340,000 loan at the same 6.75% rate has a much higher monthly payment (about $3,008 vs. $2,205) but much less total interest paid over the life of the loan ($201,400 vs. $452,500 — roughly 55% less interest in absolute dollars). The trade-off: higher monthly cash outflow now in exchange for substantially lower total cost and faster equity-building.

15-year mortgages are most appropriate for buyers who can comfortably afford the higher payment without thinning reserves below safe thresholds. They're not categorically better than 30-year — the cash committed to the higher payment is cash not available for emergencies, retirement contributions, or other allocation. The right answer depends on your specific household situation, including the marginal value of the extra savings versus the marginal value of the flexibility.

FAQ

Common amortization questions.

Why is interest so front-loaded?
Because interest accrues on the remaining loan balance each month. When you start the loan, the balance is at its maximum, so interest is at its maximum. As you pay down the balance, the interest portion of each fixed payment shrinks. This isn't a lender trick — it's the math of compound interest on a declining balance. Same dynamic applies to all standard amortizing loans (auto loans, student loans, etc.).
Does this include taxes, insurance, PMI, or HOA?
No. The amortization schedule only covers principal and interest. Property tax, insurance, HOA fees, PMI, and maintenance are separate components of your true monthly cost — they're paid alongside the mortgage but don't reduce the loan balance. The True Monthly Cost calculator includes every line.
What happens if I make extra payments?
Extra principal payments reduce the balance immediately, which reduces all future interest accrual. The compound effect is significant: an extra $200/month on a 30-year mortgage typically shaves 5-7 years off the term and saves $50,000-$80,000 in total interest, depending on the loan size and rate. The Early Payoff calculator models these scenarios directly.
What's a biweekly mortgage?
A payment schedule where you pay half your monthly amount every two weeks. Because there are 26 biweekly periods in a year (vs. 24 half-payments if it were truly twice-monthly), you end up making the equivalent of one extra full monthly payment per year. Over 30 years, this typically pays off the loan 5-6 years early and saves significant interest. Most lenders allow biweekly payment setups; some charge a fee. You can replicate the effect for free by adding 1/12 of your monthly payment to each regular payment.
What's the difference between simple interest and compound interest in mortgages?
Standard U.S. mortgages use simple interest, calculated monthly on the remaining balance. The "compound" effect comes from the fact that interest accrues monthly and any unpaid interest gets added to the balance. In standard amortizing mortgages, you're always paying enough to cover the month's interest plus some principal — there's no negative amortization. Some non-standard products (option-ARMs, certain interest-only loans) can have negative amortization where unpaid interest is added to the balance; those are rare post-2008 and not what this calculator models.
Can I see a printable schedule?
The browser's print function works on the table directly — select "Print" from your browser, and the table will paginate cleanly. Some users find it easier to copy the table values into a spreadsheet for further analysis. The "Year-by-year" view is typically more printable; the "Month-by-month" view runs to 360 rows for a 30-year loan and can take several pages.
Is this investment advice?
No. OwningCost is not a financial advisor and this calculator is not a recommendation. It's a math tool that runs your inputs through documented arithmetic. For loan-product decisions, work with a licensed mortgage professional; for tax-aware planning, work with a CPA.
See the full picture

P&I is roughly 60% of the real number.

The amortization schedule above shows the loan-repayment portion of your housing cost. Property taxes, insurance, HOA, PMI, and maintenance round out the actual monthly figure. Run them all in the True Monthly Cost calculator.