Loan-to-Value (LTV) Ratio Calculator
ANA›Life Services Authority›National Calculator Authority›Loan-to-Value (LTV) Ratio Calculator
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Loan-to-Value (LTV) Ratio Calculator
Calculate your Loan-to-Value (LTV) ratio to understand your mortgage risk level, whether you need Private Mortgage Insurance (PMI), and your equity position.
Loan Amount ($)
Appraised Property Value ($)
Down Payment ($) (optional — overrides loan amount)
Calculate LTV
function loaCalc() { const resultDiv = document.getElementById('loa-result'); resultDiv.style.display = 'block';
const propertyValue = parseFloat(document.getElementById('loa-property-value').value); const downPaymentInput = document.getElementById('loa-down-payment').value.trim(); let loanAmountInput = parseFloat(document.getElementById('loa-loan-amount').value);
// Validation: property value is always required if (isNaN(propertyValue) || propertyValue ⚠ Please enter a valid appraised property value greater than zero.'; return; }
let loanAmount;
// If down payment is provided, derive loan amount from it if (downPaymentInput !== '') { const downPayment = parseFloat(downPaymentInput); if (isNaN(downPayment) || downPayment ⚠ Please enter a valid down payment (zero or greater).'; return; } if (downPayment >= propertyValue) { resultDiv.innerHTML = '⚠ Down payment cannot be equal to or greater than the property value.'; return; } loanAmount = propertyValue - downPayment; } else { // Use loan amount field if (isNaN(loanAmountInput) || loanAmountInput ⚠ Please enter a valid loan amount greater than zero, or provide a down payment.'; return; } loanAmount = loanAmountInput; }
if (loanAmount > propertyValue) { resultDiv.innerHTML = '⚠ Loan amount cannot exceed the appraised property value.'; return; }
// Core formula: LTV = (Loan Amount / Appraised Property Value) × 100 const ltv = (loanAmount / propertyValue) * 100; const equity = propertyValue - loanAmount; const equityPct = 100 - ltv; const downPaymentCalc = propertyValue - loanAmount; const downPaymentPct = (downPaymentCalc / propertyValue) * 100;
- // LTV risk classification
- let riskLabel, riskColor, riskNote;
- if (ltv 80;
- const pmiText = pmiRequired
- ? '❌ PMI Required — LTV exceeds 80%. PMI is typically added until LTV drops to 78–80%.'
- '✅ No PMI Required — LTV is at or below 80%.';
// How much more equity needed to reach 80% LTV const targetLoanFor80 = propertyValue * 0.80; const amountToReach80 = loanAmount - targetLoanFor80;
const fmt = (n) => n.toLocaleString('en-US', { minimumFractionDigits: 2, maximumFractionDigits: 2 }); const fmtPct = (n) => n.toFixed(2);
// Progress bar width capped at 100% visually const barWidth = Math.min(ltv, 100).toFixed(2); const barColor = ltv \${fmtPct(ltv)}% \${riskLabel}
0%60%80%90%100%
\${pmiText} \${riskNote}
LTV Ratio \${fmtPct(ltv)}%
Loan Amount $\${fmt(loanAmount)}
Appraised Property Value $\${fmt(propertyValue)}
Down Payment $\${fmt(downPaymentCalc)} (\${fmtPct(downPaymentPct)}%)
Equity $\${fmt(equity)} (\${fmtPct(equityPct)}%)
\${amountToReach80 > 0 ? `
Principal Needed to Reach 80% LTV $\${fmt(amountToReach80)} ` : `
Below 80% LTV by $\${fmt(Math.abs(amountToReach80))} `}
`; }
#### Formula
LTV Ratio = (Loan Amount ÷ Appraised Property Value) × 100
Where:
- Loan Amount — The total mortgage or loan balance outstanding
- Appraised Property Value — The independently assessed market value of the property
- Equity = Property Value − Loan Amount
- Equity % = 100% − LTV%
- If a Down Payment is provided: Loan Amount = Property Value − Down Payment
Example: Loan of $320,000 on a $400,000 property → LTV = (320,000 ÷ 400,000) × 100 = 80.00%**
#### Assumptions & References
- LTV is calculated using the appraised value, not the purchase price (lenders use the lower of the two in practice).
- An LTV of 80% or below is the standard threshold to avoid Private Mortgage Insurance (PMI) on conventional loans in the US.
- PMI is typically automatically cancelled when LTV reaches 78% under the Homeowners Protection Act (HPA) of 1998.
- FHA loans allow LTVs up to 96.5% (3.5% down) but require Mortgage Insurance Premium (MIP) regardless of LTV.
- VA and USDA loans may allow 100% LTV (no down payment) for eligible borrowers.
- Jumbo loans typically require LTV ≤ 80% and sometimes ≤ 75% for the best rates.
- References: CFPB — LTV Explained; Fannie Mae Selling Guide; HPA 12 U.S.C. § 4901.
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