- What is the monthly principal and interest payment on a $150,000 interest-only mortgage at 5.5% annual interest?
Answer: $687.50
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.
- What does the term amortization mean in the context of mortgage payments?
Answer: A schedule of payments that gradually reduces principal to 0 by term end
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. - A graduated payment mortgage starts with payments of $1,200 for the first year, increasing 7.5% annually for five years, then level payments thereafter. What is the payment amount in year 3?
Answer: $1,386.75
Year 1: $1,200; Year 2: $1,200 × 1.075 = $1,290; Year 3: $1,290 × 1.075 = $1,386.75. Choice B uses wrong escalation percentage. Choice C applies compounding incorrectly. Choice D includes year 4 calculation by mistake.
- A $100,000 loan at 6% has a first monthly P&I payment of $599.55. What is the loan balance after this payment?
Answer: $99,900.45
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.
- 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?
Answer: $13,200
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.
- What is the total amount of interest paid over the life of a $200,000, 15-year mortgage at 5.5% annual interest with monthly payments of $1,634.17?
Answer: $94,150.60
Total payments = $1,634.17 × 180 months = $294,150.60. Total interest = $294,150.60 - $200,000 = $94,150.60. Choice B incorrectly adds origination fees. Choice C uses 20-year calculation period. Choice D represents simple interest without amortization.
- What is the interest portion of the first payment on a $265,000 mortgage at 5.25% annual interest?
Answer: $1,159.38
First payment interest = Principal × monthly rate = $265,000 × (0.0525 ÷ 12) = $265,000 × 0.004375 = $1,159.38. Choice B uses 5.65% rate incorrectly. Choice C applies 6% interest calculation. Choice D includes principal portion by mistake.
- 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?
Answer: $105,000
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.
- ARM: index rises 1.00%; margin unchanged. How does the monthly payment typically change at adjustment?
Answer: Payment increases because interest due each month increases
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.
- ARM: lifetime cap limits rate increases. How does a cap most directly affect the borrower?
Answer: It limits how high the interest rate, and therefore payment, can rise
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.
- A $360,000 interest-only mortgage has an annual rate of 6%. What is the monthly payment during the interest-only period?
Answer: $1,800
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.
- 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?
Answer: $174,000
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.
- What is the monthly payment for a $180,000, 30-year adjustable-rate mortgage with an initial rate of 4.5%?
Answer: $912.03
Using payment formula with P = 180,000,r=0.045/12=0.00375,n=360:M=180,000[0.00375(1.00375)360]/[(1.00375)360−1]$ = $912.03. Choice B uses 5% rate calculation. Choice C applies 25-year term incorrectly. Choice D includes estimated property taxes and insurance. - What does the term principal mean in a mortgage payment calculation?
Answer: The original loan amount, reduced as payments pay down the balance
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.
- 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?
Answer: $297,324
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.
- Monthly P&I is $850; annual taxes are $2,400; annual insurance is $600; monthly PMI is $85. Total monthly payment?
Answer: $1,185
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.
- ARM: rate drops 0.50% at reset, balance unchanged. What is the most likely payment impact?
Answer: Payment decreases because monthly interest portion decreases
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.
- Which best describes the effect of amortization on a level-payment fixed-rate mortgage?
Answer: Principal portion increases over time while interest portion decreases
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.
- ARM: initial rate 4.00% for 5 years, then adjusts annually. Which statement best describes payment changes?
Answer: Payments may change after the fixed period when the rate resets
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.
- A borrower makes bi-weekly payments of $750 on a mortgage instead of monthly payments. What is the equivalent monthly payment amount?
Answer: $1,625.00
Bi-weekly payments: $750 × 26 payments per year = $19,500 annually. Monthly equivalent: $19,500 ÷ 12 = $1,625. Choice B simply doubles bi-weekly amount. Choice C uses incorrect annual calculation. Choice D adds estimated processing fees unnecessarily.
