Mortgage Loan Originator Mortgage Math and Calculations 1 โ Questions and Answers
Question 1: A borrower is purchasing a home for $250,000 and makes a 20% down payment. What is the loan amount?
- $200,000 (Correct answer)
- $250,000
- $50,000
- $225,000
Correct answer: $200,000
20% of $250,000 equals a $50,000 down payment; subtracting from the purchase price gives a $200,000 loan amount.
Question 2: A borrower has a gross monthly income of $6,000. The maximum front-end DTI ratio is 28%. What is the maximum allowable monthly housing payment?
- $1,200
- $1,680 (Correct answer)
- $1,800
- $2,100
Correct answer: $1,680
$6,000 ร 0.28 = $1,680 maximum monthly housing payment.
Question 3: A loan has a principal balance of $180,000 at a 6% annual interest rate. What is the monthly interest charge for the first payment?
- $900 (Correct answer)
- $1,080
- $10,800
- $750
Correct answer: $900
$180,000 ร 0.06 รท 12 = $900 monthly interest for the first payment.
Question 4: A borrower purchases a home for $320,000 and makes a $40,000 down payment. What is the loan-to-value (LTV) ratio?
- 12.5%
- 75%
- 87.5% (Correct answer)
- 80%
Correct answer: 87.5%
Loan amount = $280,000; LTV = $280,000 รท $320,000 = 87.5%.
Question 5: A borrower has total monthly debt payments of $1,500 and a gross monthly income of $5,000. What is their back-end DTI ratio?
- 25%
- 30% (Correct answer)
- 35%
- 40%
Correct answer: 30%
$1,500 รท $5,000 = 0.30, or a 30% back-end DTI ratio.
Question 6: A home is appraised at $400,000 but the purchase price is $380,000. Which value is used to calculate LTV for a purchase transaction?
- Appraised value ($400,000)
- Purchase price ($380,000) (Correct answer)
- Average of both ($390,000)
- Higher of the two ($400,000)
Correct answer: Purchase price ($380,000)
For purchase transactions, lenders use the lesser of the appraised value or purchase price to calculate LTV.
Question 7: If a borrower pays 2 discount points on a $200,000 loan, how much does the borrower pay in points?
- $200
- $2,000
- $4,000 (Correct answer)
- $400
Correct answer: $4,000
Each discount point equals 1% of the loan amount; 2 ร 1% ร $200,000 = $4,000.
A borrower is purchasing a home for $250,000 and makes a 20% down payment.
What is the loan amount?