What is the correct answer to: The loan-to-value ratio (LTV) is calculated as:

The correct answer is Loan amount divided by the lesser of appraised value or purchase price. LTV = Loan Amount ÷ Lesser of Appraised Value or Purchase Price. Lenders use the lower figure to protect themselves from overpaying relative to market value. If a buyer pays $210,000 for a home appraised at $200,000, the lender bases the LTV on $200,000 (the lower figure), not $210,000. This means the maximum loan at 80% LTV would be $160,000, and the buyer must cover the $10,000 appraisal gap plus the $40,000 down payment from their own funds. This conservative approach protects the lender's collateral position.

What background knowledge is needed for this Financing question?

LTV is critical in Montana real estate because it determines: (1) whether PMI is required (typically when LTV exceeds 80% on conventional loans), (2) the maximum loan amount a lender will approve, and (3) the interest rate tier the borrower qualifies for (lower LTV often means better rates). Montana's rural property market can create appraisal challenges — properties in remote areas may have limited comparable sales, potentially resulting in appraisals that come in below purchase price. This is particularly common in Montana's recreational property markets (e.g., properties near Flathead Lake or in the Bitterroot Valley) where buyer demand can push prices above appraised values. When this happens, Montana buyers must either negotiate a lower price, pay the difference in cash, or challenge the appraisal. The conforming loan limit for Montana (a single-county limit state) follows the national baseline, though high-cost area limits may apply in some counties.

What is a good way to remember the answer to this Financing question?

Visualize a seesaw with the LOAN on one side and the VALUE on the other. LTV = Loan ÷ Value. The 'Value' side always uses the LOWER number (appraised value or purchase price) because lenders are conservative — they always look at the worst-case scenario for their collateral. On the exam, when you see LTV, immediately write: Loan ÷ Lesser of (Appraised Value or Purchase Price). If the question gives you both an appraised value and a purchase price, circle the lower one — that's your denominator. Never use the higher figure.

What exam tip applies to this Financing question?

The exam will almost certainly give you a scenario where the appraised value and purchase price differ. Always use the LOWER number as your denominator. If they're the same, it doesn't matter — but when they differ, the lower number is always correct for LTV calculation.

How does this Financing concept apply in real world practice?

A buyer in Helena, Montana offers $320,000 for a home, but the appraisal comes in at $305,000. The buyer wants a loan of $256,000. The lender calculates LTV using $305,000 (the lesser figure): $256,000 ÷ $305,000 = 83.9% LTV. Because this exceeds 80%, the lender requires PMI. The buyer has three options: (1) pay PMI, (2) increase the down payment to bring LTV to 80% ($244,000 loan on $305,000 value), or (3) renegotiate the purchase price down to $305,000. This real-world scenario illustrates exactly why lenders use the lesser of appraised value or purchase price.

FinancingLoan CalculationsMEDIUM

The loan-to-value ratio (LTV) is calculated as:

Correct Answer

A) Loan amount divided by the lesser of appraised value or purchase price

LTV = Loan Amount ÷ Lesser of Appraised Value or Purchase Price. Lenders use the lower of the two figures — appraised value or purchase price — to minimize their risk exposure. For example, if a home is purchased for $200,000 but appraised at $190,000, the lender bases the LTV on $190,000. A higher LTV indicates greater lender risk and typically triggers a requirement for private mortgage insurance (PMI).

Answer Options

Loan amount divided by the lesser of appraised value or purchase price

Appraised value divided by the loan amount

Down payment divided by the purchase price

Interest rate divided by the loan term

Why This Is the Correct Answer

Why the Other Options Are Wrong

Deep Analysis of This Financing Question

Background Knowledge for Financing

Real World Application in Financing

Common Mistakes to Avoid on Financing Questions

Related Concepts

Secondary Mortgage Market

The secondary mortgage market is where existing mortgage loans are bought and sold between lenders, investors, and government-sponsored enterprises (GSEs) like Fannie Mae, Freddie Mac, and Ginnie Mae.

TILA (Truth in Lending Act)

TILA is a federal law that requires lenders to disclose the true cost of credit to borrowers, including the annual percentage rate (APR), total finance charges, and loan terms. It is implemented by Regulation Z.

Trustee Sale

A trustee sale is a type of foreclosure where a trustee, appointed under a deed of trust, sells the property at auction to satisfy the debt.

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Financing Questions

The loan-to-value ratio (LTV) is calculated as:

Why This Is the Correct Answer

Why the Other Options Are Wrong

Deep Analysis of This Financing Question

Background Knowledge for Financing

Real World Application in Financing

Common Mistakes to Avoid on Financing Questions

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