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Mortgage Calculator & Amortization Schedule (PITI & PMI)

Comprehensive mortgage calculator with full PITI breakdown, automatic 78% LTV PMI drop-off countdown under the Homeowners Protection Act, and exportable schedule.

Calculation Parameters

$450,000
$
$90,000
$
%
<div>
  <label for="loan-term" class="block text-xs font-bold text-slate-700 uppercase tracking-wider mb-2">Loan Term</label>
  <select id="loan-term" class="w-full px-4 py-2.5 bg-slate-50 border border-slate-200 rounded-xl font-medium text-sm text-slate-900 focus:bg-white focus:border-blue-600 focus:ring-2 focus:ring-blue-100 outline-none">
    <option value="30" selected>30 Years Fixed</option>
    <option value="20">20 Years Fixed</option>
    <option value="15">15 Years Fixed</option>
    <option value="10">10 Years Fixed</option>
  </select>
</div>
$
~1.2% national average
<div>
  <label for="home-insurance" class="block text-xs font-bold text-slate-700 uppercase tracking-wider mb-2">Annual Homeowners Ins. ($)</label>
  <div class="relative flex items-center">
    <span class="absolute left-3.5 text-slate-400 font-semibold">$</span>
    <input type="number" id="home-insurance" value="1500" step="50" class="w-full pl-8 pr-4 py-2.5 bg-slate-50 border border-slate-200 rounded-xl font-mono text-sm text-slate-900 focus:bg-white focus:border-blue-600 focus:ring-2 focus:ring-blue-100 outline-none" />
  </div>
  <span class="text-[10px] text-slate-400 mt-1 block">Hazard & fire coverage</span>
</div>

<div>
  <label for="hoa-fee" class="block text-xs font-bold text-slate-700 uppercase tracking-wider mb-2">Monthly HOA / Dues ($)</label>
  <div class="relative flex items-center">
    <span class="absolute left-3.5 text-slate-400 font-semibold">$</span>
    <input type="number" id="hoa-fee" value="0" step="25" min="0" class="w-full pl-8 pr-4 py-2.5 bg-slate-50 border border-slate-200 rounded-xl font-mono text-sm text-slate-900 focus:bg-white focus:border-blue-600 focus:ring-2 focus:ring-blue-100 outline-none" />
  </div>
  <span class="text-[10px] text-slate-400 mt-1 block">Condo / subdivision fees</span>
</div>
Calculated Estimate ● Real-Time
Estimated Monthly PITI Payment
$2,848.66/mo
Principal & Interest: $2,275.44/mo | 20% Down (No PMI)
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Mathematical Formula & Notation

Standard US fixed-rate mortgage formula with PITI escrow components :

M_{\text{PITI}} = P \times \frac{r(1 + r)^n}{(1 + r)^n - 1} + T_{\text{monthly}} + I_{\text{monthly}} + \text{PMI}_{\text{monthly}} + \text{HOA}
P = Loan principal balance (Purchase price minus down payment)
r = Monthly interest rate (Annual percentage rate divided by 12)
n = Total number of monthly payments (Loan term in years multiplied by 12)
T_monthly = Monthly property tax escrow (Annual tax bill ÷ 12, typically 1.1% to 1.3% of home value)
PMI = Private Mortgage Insurance required when down payment is under 20% (LTV > 80%)

Worked Scenario: $450,000 Conventional Purchase (10% vs 20% Down)

Consider purchasing a home priced at $450,000 with a 30-year fixed conforming mortgage at 6.50% APR, 1.2% annual property tax ($450/mo), and $1,500/yr homeowners insurance ($125/mo):

  • Scenario A (20% Down - $90,000): Financed balance is $360,000. Monthly Principal & Interest is $2,275.44. Adding $450 taxes and $125 insurance yields a total monthly payment of $2,850.44/mo. Zero PMI is required. * Scenario B (10% Down - $45,000): Financed balance is $405,000 (90% LTV). Monthly P&I rises to $2,559.87. Conventional lenders require PMI (0.85% p.a. = $286.88/mo). Total monthly payment is $3,421.75/mo. * Homeowners Protection Act (HPA) Automatic PMI Drop: Under federal law (12 U.S.C. § 4901), once your amortized loan balance reaches 78% of the original home value ($351,000)—which occurs at month 108 (year 9)—your lender must automatically terminate PMI, immediately dropping your monthly payment by $286.88.

Down Payment & Term Comparison ($450,000 Home Purchase at 6.50% Fixed)

Down PaymentLoan TermMonthly P&IInitial Monthly PMITotal Monthly PITITotal 30-Yr Interest
20% ($90k)30 Years$2,275.44$0.00$2,850.44$459,158
10% ($45k)30 Years$2,559.87$286.88$3,421.75$516,553
5% ($22.5k)30 Years$2,702.09$329.91$3,607.00$545,251
20% ($90k)15 Years$3,135.53$0.00$3,710.53$204,395 (Saves $254k interest)

Frequently Asked Questions

What is PITI and why do mortgage lenders use it? ▼

PITI stands for Principal, Interest, Taxes, and Insurance. It represents the complete monthly housing expense required to hold the property. Lenders evaluate your debt-to-income (DTI) ratio against your total PITI rather than just the principal and interest to ensure your overall housing budget remains affordable.

When does Private Mortgage Insurance (PMI) get cancelled? ▼

Under the federal Homeowners Protection Act of 1998, you have the legal right to request PMI cancellation when your loan balance reaches 80% of the original property value. If you make regular scheduled payments, your servicer is legally mandated to automatically cancel PMI when the principal balance reaches 78% of the original value.

Is a 15-year or 30-year mortgage better for long-term wealth? ▼

A 15-year fixed loan typically carries a 0.50% to 0.75% lower interest rate and amortizes significantly faster, slashing lifetime interest costs by over 55%. However, a 30-year fixed loan lowers required monthly payments by 25% to 30%, providing superior cash flow flexibility during economic downturns.

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Reviewed by: OmniCalcs Quantitative Verification Board
Last Updated: