NMLS Quiz: Calculate Mortgage Payments
20 questions · exam conditions
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Calculate Mortgage PaymentsQuestion 1 of 20

A $200,000 loan has a payment factor of $5.50 per $1,000. What is the total P&I paid in the first year?

$1,100
$14,400
$13,200
$12,000
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NMLS Quiz

NMLS Quiz: Calculate Mortgage Payments

Practice Calculate Mortgage Payments in NMLS with focused quiz questions that help you check what you know, review explanations, and build confidence with test-style prompts.

What this quiz covers

This quiz focuses on Calculate Mortgage Payments, giving you a quick way to practice the rules, question types, and explanations that matter most for NMLS.

How to use this quiz

Try each quiz question before looking at the correct answer. Use the explanations to review missed ideas, then come back to similar questions until the pattern feels familiar.

All questions

Question 1

A $200,000 loan has a payment factor of $5.50 per $1,000. What is the total P&I paid in the first year?

  1. $1,100
  2. $14,400
  3. $13,200 (correct answer)
  4. $12,000
Explanation: Divide 200,000 by 1,000 to get 200 units; multiply by 5.50 to get a monthly P&I payment of 1,100. Over 12 months, 1,100 times 12 equals 13,200. The $1,100 figure is only the monthly payment, not the total for the first year.

Question 2

Monthly P&I is $850; annual taxes are $2,400; annual insurance is $600; monthly PMI is $85. Total monthly payment?

  1. $1,100
  2. $3,935
  3. $1,135
  4. $1,185 (correct answer)
Explanation: Convert annual costs to monthly: $2,400 / 12 = $200 for taxes, and $600 / 12 = $50 for insurance. Add monthly P&I of $850, $200, $50, and PMI of $85: 850 + 200 + 50 + 85 = $1,185. The tempting error is $1,100, which includes P&I, taxes, and insurance but forgets to add the $85 PMI.

Question 3

A $360,000 interest-only mortgage has an annual rate of 6%. What is the monthly payment during the interest-only period?

  1. $1,800 (correct answer)
  2. $21,600
  3. $1,500
  4. $2,160
Explanation: Multiply 360,000 by 6% to get 21,600 in annual interest, then divide by 12 months: 21,600 / 12 = 1,800. The tempting mistake is leaving 21,600 as the payment, but that is the yearly interest, not the monthly payment.

Question 4

A $150,000 30-year loan has a payment factor of $6.00 per $1,000. What is the total interest paid over the full term?

  1. $174,000 (correct answer)
  2. $324,000
  3. $150,000
  4. $27,000
Explanation: The monthly payment is 150 x $6 = $900. Over 30 years (360 months), total paid is $900 x 360 = $324,000. Subtract the $150,000 principal to get $174,000 in interest. The tempting $324,000 is the total amount paid, not interest alone.

Question 5

A $100,000 loan at 6% has a first monthly P&I payment of $599.55. What is the loan balance after this payment?

  1. $99,400.45
  2. $99,900.45 (correct answer)
  3. $99,500.00
  4. $100,000.00
Explanation: The monthly interest is 100,000 times 0.005, which is 500. Subtracting that from the 599.55 payment leaves 99.55 going to principal, so the new balance is 99,900.45. A tempting error is subtracting the full 599.55 from 100,000 to get 99,400.45, but that ignores the interest portion.

Question 6

What does the term amortization mean in the context of mortgage payments?

  1. Paying only interest each month with no principal reduction
  2. A schedule of payments that gradually reduces principal to 00 by term end (correct answer)
  3. A penalty charged when rates fall and the borrower refinances
  4. A method of setting the home's purchase price
Explanation: This question tests the ability to calculate mortgage payments, understanding the roles of principal, interest, and amortization. Mortgage calculations involve determining monthly payments based on the principal amount, interest rate, and term length. In this scenario, amortization is the schedule reducing principal to zero by term end. The correct answer is B, as it accurately reflects this calculation method. A common mistake is thinking it's interest-only payments, leading to choices like A. To aid understanding, practice calculating payments using different interest rates and terms, and learn to interpret amortization schedules for better financial planning.

Question 7

ARM: initial rate 4.00% for 5 years, then adjusts annually. Which statement best describes payment changes?

  1. Payments change only with principal prepayments
  2. Payments may change after the fixed period when the rate resets (correct answer)
  3. Payments are constant because the margin is constant
  4. Payments change monthly based on daily index values
Explanation: This question tests the ability to calculate mortgage payments, understanding the roles of principal, interest, and amortization. Mortgage calculations involve determining monthly payments based on the principal amount, interest rate, and term length. In this scenario, payments adjust after the initial fixed period based on rate resets. The correct answer is B, as it accurately reflects this calculation method. A common mistake is assuming constant margin means constant payments, leading to choices like C. To aid understanding, practice calculating payments using different interest rates and terms, and learn to interpret amortization schedules for better financial planning.

Question 8

What is the effective monthly payment for a borrower with a 2-1 buydown on a $225,000, 30-year mortgage at 6.5%? The payment is reduced by 2% in year 1.

  1. $1,301.55 (correct answer)
  2. $1,422.71
  3. $1,478.23
  4. $1,534.92
Explanation: Year 1 effective rate = 6.5% - 2% = 4.5%. Monthly payment at 4.5% = $1,301.55 (calculated using 4.5% rate but 30-year term). Choice B uses 5.5% rate calculation. Choice C represents normal 6.5% payment. Choice D incorrectly adds buydown costs to payment.

Question 9

What does the term interest mean in a mortgage payment calculation?

  1. The portion of payment that reduces the loan balance
  2. The cost of borrowing charged on the outstanding principal (correct answer)
  3. A fee paid only at closing, not monthly
  4. The property's assessed value used for taxes
Explanation: This question tests the ability to calculate mortgage payments, understanding the roles of principal, interest, and amortization. Mortgage calculations involve determining monthly payments based on the principal amount, interest rate, and term length. In this scenario, interest is the borrowing cost on the outstanding principal. The correct answer is B, as it accurately reflects this calculation method. A common mistake is mixing it with the principal reduction portion, leading to choices like A. To aid understanding, practice calculating payments using different interest rates and terms, and learn to interpret amortization schedules for better financial planning.

Question 10

ARM: index rises 1.00%; margin unchanged. How does the monthly payment typically change at adjustment?

  1. Payment decreases because principal amortizes faster
  2. Payment increases because interest due each month increases (correct answer)
  3. Payment stays the same; only term changes
  4. Payment changes only if the borrower refinances
Explanation: This question tests the ability to calculate mortgage payments, understanding the roles of principal, interest, and amortization. Mortgage calculations involve determining monthly payments based on the principal amount, interest rate, and term length. In this scenario, when the index rises, the interest rate increases, leading to a higher monthly payment. The correct answer is B, as it accurately reflects this calculation method. A common mistake is thinking principal amortizes faster with higher rates, leading to choices like A. To aid understanding, practice calculating payments using different interest rates and terms, and learn to interpret amortization schedules for better financial planning.

Question 11

ARM: rate drops 0.50% at reset, balance unchanged. What is the most likely payment impact?

  1. Payment increases because less interest is charged
  2. Payment decreases because monthly interest portion decreases (correct answer)
  3. Payment stays fixed for the full term regardless of rate
  4. Payment becomes interest-only automatically
Explanation: This question tests the ability to calculate mortgage payments, understanding the roles of principal, interest, and amortization. Mortgage calculations involve determining monthly payments based on the principal amount, interest rate, and term length. In this scenario, a rate drop reduces the interest portion, decreasing the overall payment. The correct answer is B, as it accurately reflects this calculation method. A common mistake is assuming payments stay fixed regardless, leading to choices like C. To aid understanding, practice calculating payments using different interest rates and terms, and learn to interpret amortization schedules for better financial planning.

Question 12

Which best describes the effect of amortization on a level-payment fixed-rate mortgage?

  1. Interest portion increases over time while principal portion decreases
  2. Principal portion increases over time while interest portion decreases (correct answer)
  3. Principal and interest portions remain equal each month
  4. Payments rise annually to match inflation
Explanation: This question tests the ability to calculate mortgage payments, understanding the roles of principal, interest, and amortization. Mortgage calculations involve determining monthly payments based on the principal amount, interest rate, and term length. In this scenario, amortization causes principal portion to increase and interest to decrease over time. The correct answer is B, as it accurately reflects this calculation method. A common mistake is reversing the portions' changes, leading to choices like A. To aid understanding, practice calculating payments using different interest rates and terms, and learn to interpret amortization schedules for better financial planning.

Question 13

What does the term principal mean in a mortgage payment calculation?

  1. The lender's profit margin added to the index
  2. The original loan amount, reduced as payments pay down the balance (correct answer)
  3. The annual cost of borrowing expressed as a percentage
  4. The escrowed amount for taxes and insurance
Explanation: This question tests the ability to calculate mortgage payments, understanding the roles of principal, interest, and amortization. Mortgage calculations involve determining monthly payments based on the principal amount, interest rate, and term length. In this scenario, principal refers to the loan amount reduced over time by payments. The correct answer is B, as it accurately reflects this calculation method. A common mistake is confusing it with the margin added to the index, leading to choices like A. To aid understanding, practice calculating payments using different interest rates and terms, and learn to interpret amortization schedules for better financial planning.

Question 14

ARM: lifetime cap limits rate increases. How does a cap most directly affect the borrower?

  1. It guarantees the lowest possible rate each year
  2. It limits how high the interest rate, and therefore payment, can rise (correct answer)
  3. It prevents any change in monthly payment
  4. It converts the loan to a fixed-rate mortgage automatically
Explanation: This question tests the ability to calculate mortgage payments, understanding the roles of principal, interest, and amortization. Mortgage calculations involve determining monthly payments based on the principal amount, interest rate, and term length. In this scenario, the cap limits rate and payment increases for borrower protection. The correct answer is B, as it accurately reflects this calculation method. A common mistake is thinking it prevents all changes, leading to choices like C. To aid understanding, practice calculating payments using different interest rates and terms, and learn to interpret amortization schedules for better financial planning.

Question 15

ARM: rate increases at reset. What is the most likely effect on total interest paid, all else equal?

  1. Total interest decreases because payments rise
  2. Total interest increases because more interest accrues on the balance (correct answer)
  3. Total interest is unchanged because amortization is fixed
  4. Total interest becomes zero after the first adjustment
Explanation: This question tests the ability to calculate mortgage payments, understanding the roles of principal, interest, and amortization. Mortgage calculations involve determining monthly payments based on the principal amount, interest rate, and term length. In this scenario, a rate increase leads to more total interest accruing over time. The correct answer is B, as it accurately reflects this calculation method. A common mistake is thinking amortization fixes total interest, leading to choices like C. To aid understanding, practice calculating payments using different interest rates and terms, and learn to interpret amortization schedules for better financial planning.

Question 16

What is the total amount of payments made over the life of a $180,000, 20-year mortgage at 5.5% with monthly payments of $1,238.85?

  1. $297,324 (correct answer)
  2. $315,468
  3. $342,927
  4. $378,215
Explanation: Total payments = Monthly payment × number of payments = $1,238.85 × 240 months = $297,324. Choice B adds unnecessary fees incorrectly. Choice C uses 25-year calculation period. Choice D applies wrong payment amount in calculation.

Question 17

What is the monthly payment for a $180,000, 30-year adjustable-rate mortgage with an initial rate of 4.5%?

  1. $912.03 (correct answer)
  2. $985.45
  3. $1,023.67
  4. $1,156.89
Explanation: Using payment formula with P = 180,000,r=0.045/12=0.00375,n=360:M=180,000[180,000, r = 0.045/12 = 0.00375, n = 360: M = 180,000[ 0.00375(1.00375)360]/[(1.00375)360−1]0.00375(1.00375)^360]/[(1.00375)^360-1] $ = $912.03. Choice B uses 5% rate calculation. Choice C applies 25-year term incorrectly. Choice D includes estimated property taxes and insurance.

Question 18

A borrower makes a $2,100 monthly payment on a mortgage with 4.8% annual interest. If $1,680 goes toward principal, what was the outstanding balance before this payment?

  1. $105,000 (correct answer)
  2. $125,000
  3. $315,000
  4. $420,000
Explanation: Interest portion = $2,100 - $1,680 = $420. Outstanding balance = Interest portion ÷ monthly rate = $420 ÷ (0.048/12) = $420 ÷ 0.004 = $105,000. Choice B uses wrong interest rate calculation. Choice C reverses principal and interest amounts. Choice D multiplies instead of dividing the interest portion.

Question 19

A borrower has a $175,000 ARM with a 5% start rate, 2% annual cap, and 6% lifetime cap. If the index rises 3% in year two, what is the maximum possible rate for year two?

  1. 7.0% (correct answer)
  2. 8.0%
  3. 9.0%
  4. 11.0%
Explanation: Year two rate is limited by annual cap: 5% + 2% = 7%. Even though index rose 3%, annual cap limits increase to 2% per year. Choice B ignores annual cap restriction. Choice C uses index increase directly. Choice D applies lifetime cap incorrectly to single adjustment.

Question 20

What is the monthly principal and interest payment on a $150,000 interest-only mortgage at 5.5% annual interest?

  1. $687.50 (correct answer)
  2. $745.25
  3. $825.00
  4. $912.75
Explanation: Interest-only payment = Principal × (annual rate ÷ 12) = $150,000 × (0.055 ÷ 12) = $150,000 × 0.004583 = $687.50. Choice B incorrectly adds principal amortization. Choice C uses 6.6% rate by mistake. Choice D calculates full amortizing payment incorrectly.