Loans & LTV formula

Down Payment from LTV Formula

down payment = price × (1 − LTV)

Down Payment from LTV

down payment = price × (1 − LTV)
  • price — Purchase price
  • LTV — Loan-to-value ratio as a decimal

Worked example: Price is $340,000 with a 90% LTV loan.

  1. 1 − 0.90 = 0.10
  2. $340,000 × 0.10 = $34,000

$34,000 down payment

Other Loans & LTV formulas

Down Payment from LTV practice questions

Every Freehold question shows why the right answer is right — and cites its source.

A $150,000 interest-only loan carries a 6% annual interest rate. What is the monthly interest payment?

  1. $625
  2. $700
  3. $750
  4. $900
Show answer & explanation

$750 — Annual interest is $150,000 × 0.06 = $9,000. Dividing by 12 months gives a monthly interest payment of $750.

Source: PSI National Real Estate Exam Content Outline §11 Real Estate Calculations

A home is priced at $260,000 with an 85% LTV loan. What is the required down payment?

  1. $221,000
  2. $26,000
  3. $39,000
  4. $52,000
Show answer & explanation

$39,000 — The down payment covers the portion the loan doesn't: 1 − 85% = 15%, so $260,000 × 15% = $39,000.

Source: PSI National Real Estate Exam Content Outline §11 Real Estate Calculations

A buyer makes a $54,000 down payment on a $360,000 home. What percentage of the price is the down payment?

  1. 15%
  2. 30%
  3. 17.6%
  4. 85%
Show answer & explanation

15% — Divide the down payment by the price: $54,000 ÷ $360,000 = 15%.

Source: PSI National Real Estate Exam Content Outline §11 Real Estate Calculations

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