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Loan to value calculator

By Jude Wallis

Loan to value is the loan divided by the property value. A $320,000 loan on a $400,000 home is 80 percent LTV, leaving $80,000 of equity. Borrow $360,000 instead and it is 90 percent LTV with $40,000 of equity.

Loan to value

80.00%

Equity of $80,000.00 on a $400,000.00 property.

Loan
$320,000.00
Value
$400,000.00
LTV
80.00%
Equity
$80,000.00
$
$

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The formula

LTV=LV×100,E=VL\text{LTV}=\frac{L}{V}\times 100,\qquad E=V-L

LL is the loan balance and VV is the property value. Equity EE is the part of the value the loan does not cover, so LTV and equity percentage always add to 100.

Equity is the mirror image

An 80 percent LTV is a 20 percent equity stake, and the two always sum to 100 because they are shares of the same value. On a $400,000 home that 20 percent is $80,000. Push the loan to $360,000 and equity falls to $40,000, which is 10 percent.

The reason lenders quote the loan side rather than the equity side is that the loan is the number they are exposed to. A borrower reading the same ratio backwards gets the more useful figure: how much of the house is actually theirs.

The denominator is value, not price

At purchase, value and price usually match, so LTV is the loan over the price. Later they diverge, and it is the appraised value that goes in the denominator. A rising market lowers LTV without a single extra payment; a falling one raises it the same way.

This is why refinancing conversations often turn on an appraisal. The loan is known to the cent. The value is an opinion, and it is the half of the ratio that moves. How loan to value works covers which value applies when.

Why 80 percent is the number everyone quotes

Eighty percent is where mortgage insurance usually stops being required, which makes it the threshold most borrowers aim at. The $320,000 loan here sits exactly on it. The $360,000 loan at 90 percent is over the line and would normally carry private mortgage insurance until payments and price growth bring it back.

LTV also sets pricing above and below that line. It is a risk measure for the lender: the lower the ratio, the more the property has to fall before the loan is under water.

What the ratio measures

LTV compares one debt to one asset at one moment. It is the standard test for mortgage insurance, for refinancing eligibility and for how much can be borrowed against a home, and it pairs with a debt to income ratio, which measures the payment against earnings rather than the balance against the asset. LTV against DTI sets out the difference. This is educational material, not financial advice.

Worked examples

A \$320,000 loan on a \$400,000 home

The property is worth $400,000 and the mortgage is $320,000. What is the LTV, and how much equity is there?

  1. Divide loan by value: 320000/400000=0.80320000 / 400000 = 0.80, which is 80 percent.
  2. Equity is the rest: 400000320000=80000400000 - 320000 = 80000.

The LTV is 80 percent and equity is $80,000, exactly the threshold most lenders use for dropping mortgage insurance.

A smaller down payment on the same house

Same $400,000 value, but the loan is $360,000. What changes?

  1. LTV: 360000/400000=0.90360000 / 400000 = 0.90, which is 90 percent.
  2. Equity: 400000360000=40000400000 - 360000 = 40000, half the equity of the 80 percent case.

The LTV is 90 percent with $40,000 of equity. Ten points of extra borrowing halved the owner's stake in the $400,000 house.

Using the original price years later

LTV uses today's value, not the price on the deed. A $320,000 balance against a purchase price that is now stale gives a ratio nobody will honour. Refinance decisions in particular turn on the current appraisal, because that is the denominator the lender will use.

Common questions

Does a second mortgage count in LTV?

Not in this ratio. Adding it gives combined loan to value, which is what lenders use when there is more than one lien.

How do I get from 90 percent to 80 percent?

By paying the balance down, by the value rising, or by both. The ratio only knows the two numbers you give it.

Is this financial advice?

No. It is educational material for the loan over value identity.

This page is educational material, not financial advice. The figures come from the formula shown and assume the inputs you enter hold for the whole term. Your own rate, fees, taxes and timing will differ, so treat the output as arithmetic to check a decision against, not as a recommendation.