Loan-to-value questions ask you to connect a loan amount with a specified property value basis. The arithmetic is simple once you identify the denominator, but a purchase price, appraisal and cash contribution can all appear in the same paragraph. These original examples use hypothetical lending assumptions for practice. They do not describe universal program limits or establish that a borrower qualifies for a particular loan.
Keep the ratio denominator visible
The basic relationship is loan amount divided by the value basis specified by the problem. If a hypothetical loan is $240,000 and the stated value basis is $300,000, the ratio is 0.80, or eighty percent. Write the denominator in words as well as numbers. That makes it harder to accidentally divide by a down payment or a different property figure.
A question may define the basis as the lower of purchase price and appraised value. Another may simply provide one value for a simplified exercise. Follow the given instruction. Do not assume every transaction uses the same program rule, and do not replace an explicit assumption with a rule remembered from a different practice set.
Separate LTV from other ratios. Debt-to-income compares debt obligations with income under a stated method. A combined loan-to-value calculation may involve more than one secured loan. The words around the ratio matter because they identify what belongs in the numerator and denominator. A familiar percentage alone cannot tell you which calculation is required.
Calculate a maximum loan from the stated basis
Suppose a practice problem permits a maximum loan of eighty percent of a $280,000 stated basis. Multiply $280,000 by 0.80 to obtain $224,000. This is the maximum under the hypothetical ratio assumption. It is not a promise that the lender will approve that amount, since other underwriting and program conditions are outside the exercise.
Now include a $300,000 purchase price and a $280,000 appraisal, with an explicit lower-of-price-or-appraisal instruction. The basis remains $280,000 and the maximum is still $224,000. Multiplying the purchase price by eighty percent would produce $240,000, but that answer ignores the supplied valuation rule.
A useful check is to divide your computed loan by the chosen basis. $224,000 divided by $280,000 returns 0.80. This reverse check confirms the ratio setup. It does not confirm that you selected the right basis, so inspect the wording separately. Arithmetic verification and reading verification are two different tasks.
Work backward to the required down payment
In a simple purchase exercise with a $300,000 price and a $240,000 loan, the buyer contributes $60,000 toward the price. That contribution is twenty percent of the price. The problem may call it a down payment under its assumptions. Keep closing costs, reserves and other cash requirements separate unless the question explicitly includes them.
If the loan is constrained to $224,000 on a $300,000 purchase, the gap to the purchase price is $76,000. A common mistake is to calculate twenty percent of the appraisal and stop at $56,000. That ignores the additional $20,000 difference between the price and appraisal in this hypothetical example.
Write the purchase equation: price equals loan plus buyer funds toward the price, assuming no other financing or contributions are stated. This equation is easier to audit than a memorized percentage shortcut. When another source of funds is explicitly given, incorporate it according to the question rather than assuming the buyer supplies every dollar beyond the first loan.
Separate a financing gap from closing costs
Suppose the exercise adds $7,000 in stated buyer closing costs to the $76,000 purchase-price gap, with no credits or deposits. The simplified cash requirement is $83,000. If the question also states that a $5,000 earnest-money deposit is already credited toward the buyer's funds, the remaining amount under those assumptions is $78,000.
The deposit is not an additional down payment on top of the full cash requirement when it is already credited toward that requirement. Track whether each figure is a cost, a source of funds or money already paid. A question can use the same dollar amount in different roles, so the label matters as much as the number.
Avoid adding every figure in the paragraph. A seller's loan balance may be irrelevant to the buyer's LTV. An annual tax bill may require a separate proration assumption before it belongs in cash-to-close arithmetic. If the task asks only for LTV, stop at the ratio. Solving a broader closing problem creates opportunities for unsupported assumptions.
Test an answer with the original ratio
Reverse calculations can ask for the value basis rather than the loan. If a $180,000 loan represents seventy-five percent of the stated value, divide $180,000 by 0.75 to obtain $240,000. Multiplying by 0.75 would produce a smaller number and answer a different question. Identify which quantity is unknown before selecting the operation.
Check the result by dividing the loan by the proposed value: $180,000 divided by $240,000 equals seventy-five percent. Then check the scale. When the stated ratio is below one hundred percent, the loan should be smaller than the value basis. A result that reverses that relationship deserves another look before you compare answer options.
For a combined-ratio exercise, include only the loans the question instructs you to include. If it gives a $180,000 first loan and a $20,000 second loan against a $250,000 basis, the combined numerator is $200,000 and the simplified combined ratio is eighty percent. The first-loan LTV alone would be seventy-two percent. Both calculations can be correct, but they answer different tasks.
Practice by creating three versions of one scenario: find the loan, find the value and find the buyer's contribution toward the price. Keep the assumptions written beside each version. This teaches you to rearrange the relationship rather than memorize one direction. Once the setup is reliable, timing drills can improve fluency without hiding a conceptual gap.
