Mortgage

Mortgage Payment Calculator With Taxes, Insurance & PMI

A mortgage payment calculator computes the fixed monthly principal-and-interest payment from home price, down payment, rate, and term, then adds taxes, insurance, and PMI. A $400,000 home with 10% down at 6.5% over 30 years costs $2,275.44 monthly in principal and interest — $3,017.11 total with taxes, insurance, and PMI.

Currency changes the displayed symbol only — figures are not converted by an exchange rate.

Total Monthly Payment$3,017.11
Principal & Interest$2,275.44
Taxes, Insurance & PMI$741.67
Total Interest (Full Term)$459,160

Remaining balance

MonthRemaining BalancePrincipal PaidInterest Paid
0$360,000.00$0.00$0.00
12$355,976.19$4,023.81$23,281.53
24$351,682.89$8,317.11$46,293.57
36$347,102.07$12,897.93$69,018.09
48$342,214.46$17,785.54$91,435.82
60$336,999.52$23,000.48$113,526.21
72$331,435.32$28,564.68$135,267.35
84$325,498.48$34,501.52$156,635.85
96$319,164.04$40,835.96$177,606.75
108$312,405.37$47,594.63$198,153.41
120$305,194.05$54,805.95$218,247.44
132$297,499.79$62,500.21$237,858.51
144$289,290.22$70,709.78$256,954.28
156$280,530.84$79,469.16$275,500.25
168$271,184.84$88,815.16$293,459.58
180$261,212.91$98,787.09$310,792.99
192$250,573.14$109,426.86$327,458.56
204$239,220.81$120,779.19$343,411.57
216$227,108.19$132,891.81$358,604.29
228$214,184.37$145,815.63$372,985.81
240$200,395.02$159,604.98$386,501.79
252$185,682.16$174,317.84$399,094.28
264$169,983.96$190,016.04$410,701.41
276$153,234.43$206,765.57$421,257.21
288$135,363.14$224,636.86$430,691.27
300$116,294.98$243,705.02$438,928.45
312$95,949.80$264,050.20$445,888.60
324$74,242.05$285,757.95$451,486.20
336$51,080.50$308,919.50$455,629.98
348$26,367.78$333,632.22$458,222.60
360$0.00$360,000.00$459,160.16

Financing $360,000 of a $400,000 home at 6.5% over 30 years costs $2,275.44 a month in principal and interest, and $459,160 in total interest over the full term. A 10% down payment falls short of the 20% lenders use as the PMI cutoff, so $225.00 a month of private mortgage insurance is added until enough equity is built to remove it.

Disclaimer: This calculator is provided for educational and estimation purposes only and does not constitute formal financial advice.

What this calculator actually answers

Most “mortgage calculators” online stop at principal and interest, which is not what shows up on a real monthly statement. A lender bundles four things into one payment — principal, interest, property tax, and homeowners insurance, known together as PITI — and adds a fifth, private mortgage insurance (PMI), whenever the down payment is thin. The calculator above computes all five and totals them, because principal and interest alone routinely understates the real monthly cost by several hundred dollars.

The amortization formula behind principal and interest

A fixed-rate mortgage is repaid with the same payment every month for the entire term, engineered so the balance reaches exactly zero on the final payment. With loan amount L, a monthly rate i equal to the annual rate divided by twelve, and n total monthly payments, the payment M is:

M=L×i(1+i)n(1+i)n1M = L \times \frac{i(1+i)^{n}}{(1+i)^{n} - 1}

Financing $360,000 (a $400,000 home with 10% down) at 6.5% over a 30-year term — 360 monthly payments — puts $2,275.44 into that formula every month. Multiply by 360 and subtract the original loan, and $459,160 of that 30-year total turns out to be interest, not principal. That is the number most buyers underestimate before they see it spelled out.

Layering on taxes, insurance, and PMI

Property tax and homeowners insurance are simple monthly fractions of an annual figure — no amortization involved:

Monthly tax=Home price×Tax rate12Monthly insurance=Annual premium12\text{Monthly tax} = \frac{\text{Home price} \times \text{Tax rate}}{12} \qquad \text{Monthly insurance} = \frac{\text{Annual premium}}{12}

At the default 1.1% property tax rate and $1,800 annual insurance premium on a $400,000 home, that is $366.67 and $150.00 a month respectively — money the lender collects and pays out on your behalf, on top of the loan itself.

What a 10% down payment actually costs

Down paymentLoan amountPMI required?Monthly PMIMonthly P&ITotal monthly payment
3%$388,000Yes$242.50$2,452.42$3,211.59
5%$380,000Yes$237.50$2,401.86$3,156.03
10%$360,000Yes$225.00$2,275.44$3,017.11
15%$340,000Yes$212.50$2,149.03$2,878.20
20%$320,000No$0.00$2,022.62$2,539.28
25%$300,000No$0.00$1,896.20$2,412.87

All rows hold the $400,000 home price, 6.5% rate, 30-year term, 1.1% property tax, and $1,800 insurance constant. The jump from 15% to 20% down does two things at once: the loan itself shrinks, and PMI disappears entirely — a combined swing of $339 a month for five extra points of down payment. That crossover is the single biggest lever a buyer close to 20% down actually controls.

How this calculator estimates PMI

Private mortgage insurance protects the lender, not the buyer, against default on the riskiest slice of the loan — the amount above 80% of the home’s value. Real premiums vary by credit score, loan-to-value ratio, and insurer, typically running 0.5% to 1% of the loan balance per year. This calculator uses a flat 0.75% — the midpoint of that range — applied to the original loan amount, and switches it off automatically once the down payment reaches 20%, which is the threshold conventional lenders actually use.

What this simplification does not capture: real PMI is usually cancelled automatically once the amortized balance falls to 78% of the original home value, a protection written into the federal Homeowners Protection Act, and can often be cancelled by request once it reaches 80% through payments or appreciation. This calculator holds the estimated PMI figure flat for display purposes rather than modeling that mid-loan cancellation — a real PMI bill drops out years before a 30-year term ends, so the true lifetime PMI cost is lower than “monthly PMI times every remaining month” would suggest.

Term length: monthly payment versus lifetime interest

TermMonthly P&ITotal interest over the term
15 year$3,135.99$204,478
20 year$2,684.06$284,175
30 year$2,275.44$459,160

All three rows finance the same $360,000 at the same 6.5% rate. Shortening the term from 30 to 15 years raises the required monthly principal and interest by 38%, but more than halves total interest paid — from $459,160 down to $204,478. The 15-year term is not more expensive per dollar borrowed; it simply asks for a much larger chunk of that dollar back every month, leaving less time for interest to compound against a large balance.

Why the rate matters more than it looks like it should

RateMonthly P&ITotal interest over 30 years
5.0%$1,932.56$335,721
5.5%$2,044.04$375,855
6.0%$2,158.38$417,017
6.5%$2,275.44$459,160
7.0%$2,395.09$502,232
7.5%$2,517.17$546,182
8.0%$2,641.55$590,959

All rows finance the same $360,000 over 30 years. Each half-point of rate adds roughly $40,000-$45,000 of total interest at this loan size, and the effect compounds because a 30-year term gives the difference three decades to accumulate. This is why serious buyers shop rate quotes across several lenders rather than accepting the first one — a quarter-point difference on a typical loan is worth thousands of dollars over the full term, for zero change in the home itself.

How much home the payment implies you can afford

Lenders commonly apply two ratios to income before approving a loan: the front-end ratio caps PITI at roughly 28% of gross monthly income, and the back-end ratio caps PITI plus all other debt payments at roughly 36%. Neither is a law, and many lenders will approve higher ratios, particularly for borrowers with strong credit and low existing debt — but a payment that clears both ratios comfortably is the version of “affordable” that survives an income dip or a job change, not just the version a lender is willing to approve. The house affordability calculator runs those same ratios in reverse to solve for a max price.

Property tax and insurance vary far more than most buyers expect

The 1.1% property tax default approximates a national average, but the real figure ranges from under 0.3% in a handful of states to well over 2% in others — a difference worth thousands of dollars a year on the same home price. Homeowners insurance is similarly local: coastal and wildfire-exposed regions can run several times the $1,800 national-average default used here. Before treating any total monthly payment as final, replace both defaults with the actual mill rate for the specific county and an actual insurance quote for the specific address — both numbers are public or quotable in minutes and materially change the total.

Using the numbers well

Run the calculator at the rate actually quoted, not a rate remembered from a headline, since even a quarter-point moves the outcome measurably. Check the result against the 28%/36% ratios using real gross income, not take-home pay. And treat the PMI figure as a flag rather than a fixed cost: it exists specifically because it disappears once enough equity accumulates, so a buyer close to the 20% down threshold should weigh finding a few thousand more dollars now against paying PMI for years until the balance amortizes down on its own.

Frequently asked questions

What does PITI mean?

Principal, Interest, Taxes, and Insurance — the four components lenders bundle into a single monthly mortgage payment. Principal and interest repay the loan itself at a fixed rate; property tax and homeowners insurance are collected monthly and held in escrow, then paid by the lender when the annual bills come due. PMI, when it applies, is often folded into the same escrowed payment as a fifth line item, making the total the actual amount that leaves your bank account every month.

How is a monthly mortgage payment calculated?

The principal-and-interest portion uses the standard loan amortization formula, which spreads a fixed payment across every month of the term so the balance reaches exactly zero on the final one. Early payments are mostly interest because the balance is still large; later payments are mostly principal because the balance has shrunk. Property tax and insurance are added on top as straight monthly fractions of their annual cost, and are not amortized at all.

When is PMI required, and how does this calculator estimate it?

Conventional lenders require private mortgage insurance whenever the down payment is below 20% of the home price, because the loan-to-value ratio above 80% is what the insurer is pricing against. This calculator applies a flat 0.75% of the loan balance per year — the midpoint of the roughly 0.5%-1% range real insurers charge based on credit score and LTV — and zeroes it out automatically once the down payment reaches 20%. It does not model the automatic cancellation that happens later as the balance amortizes down, which is a simplification worth knowing about.

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

A 15-year loan carries a materially higher required monthly payment but a far lower total interest cost, since less of the balance survives to compound against. A 30-year loan halves the monthly commitment relative to a 15-year term at the same rate, which is why it is the default choice for most first-time buyers — the lower payment leaves more room for an emergency fund and retirement contributions. The right answer depends on whether the household can comfortably absorb the higher fixed payment without giving up other financial priorities.

Why does a small change in interest rate move the total cost so much?

Interest compounds against the entire outstanding balance every month for the full term, so a rate difference is applied to hundreds of thousands of dollars for up to 30 years running. On a $360,000 loan, moving from 6.5% to 7% raises the monthly principal and interest by about $120 but raises total interest paid over 30 years by over $43,000. The longer the term, the more a fraction of a point in rate is worth locking in.

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