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Math practice questions

33 questions from the Mortgage loan originator (SAFE) practice test.

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Math practice test

10 questions, graded as you go, with the reason for every answer. No sign-up.

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Sample questions

A buyer contracts to purchase a home for $310,000. The appraisal comes in at $300,000 and the loan amount is $270,000. What is the loan-to-value ratio?

Answer in percent.

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90 percent

Use the lesser of the price and the appraised value: $300,000. LTV = $270,000 / $300,000 = 0.90 = 90%.

Reference: LTV on a purchase = loan amount / lesser of price or appraised value

A home is valued at $400,000. It has a first mortgage balance of $320,000 and the owner is taking a new second mortgage of $40,000. What is the combined loan-to-value ratio?

Answer in percent.

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90 percent

Total liens: $320,000 + $40,000 = $360,000. CLTV = $360,000 / $400,000 = 0.90 = 90%.

Reference: CLTV = (first lien + subordinate liens) / value

A home is selling for $350,000, which is also its appraised value. The borrower is approved for a 95% loan-to-value loan. What is the loan amount?

Answer in dollars.

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332500 dollars

Loan amount = value x LTV. $350,000 x 0.95 = $332,500.

Reference: Loan amount = value x LTV

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