New York Real Estate Salesperson ExaminationReal Estate CalculationsMedium

A property is valued at $500,000. A lender is willing to offer a loan with an 80% loan-to-value (LTV) ratio. If the borrower also pays 2 discount points, how much cash will the borrower need for the down payment and the points?

  1. A$108,000
  2. B$106,000
  3. C$100,000
  4. D$8,000
Show answer & explanation

Correct answer: A. $108,000

First, calculate the loan amount: $500,000 * 0.80 = $400,000. Next, calculate the down payment: $500,000 - $400,000 = $100,000. Then, calculate the cost of the discount points: $400,000 * 0.02 = $8,000. Finally, add the down payment and the points: $100,000 + $8,000 = $108,000.

Why the other options are wrong

  • B. This is a common miscalculation, perhaps using 1.5% for points or an incorrect loan amount.
  • C. This is only the down payment, not including the points.
  • D. This is only the cost of the discount points.

Loan-to-Value (LTV) Ratio

A financial ratio that compares the amount of a mortgage loan to the value of the property, used by lenders to assess risk.

  • Calculated as (Loan Amount / Property Value) * 100%.
  • Higher LTV ratios generally mean higher risk for lenders.
  • Often determines if private mortgage insurance (PMI) is required.

Memory trick: Value times LTV is loan, then find down payment, add points on loan's own.

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