A borrower has a $300,000 fixed-rate mortgage at 4% per year, compounded semi-annually, with monthly payments. What effective monthly interest rate is used to calculate the payment?
Correct Answer
A) 0.331%
With semi-annual compounding, the half-year rate is 4% ÷ 2 = 2%, and the equivalent monthly rate is (1.02)^(1/6) − 1 = 0.003306, or about 0.331%. Dividing 4% by 12 (0.333%) ignores the compounding convention, and 0.327% is the rate for annual compounding.
Why This Is the Correct Answer
The semi-annual rate is 2%. Six monthly periods must compound to that 2%, so the monthly rate is (1.02)^(1/6) − 1 = 0.003306, which rounds to 0.331%. This is the rate that goes into the payment formula for a Canadian fixed-rate mortgage paid monthly.
Why the Other Options Are Wrong
Deep Analysis of This Mortgage & Real Estate Finance Question
Background Knowledge for Mortgage & Real Estate Finance
Memory Technique
Exam Tip for Mortgage & Real Estate Finance
Real World Application in Mortgage & Real Estate Finance
Common Mistakes to Avoid on Mortgage & Real Estate Finance Questions
Key Terms
More Mortgage & Real Estate Finance Questions
An Alberta first-time buyer makes their first Home Buyers' Plan (HBP) withdrawal from their RRSP in 2026. What is the maximum withdrawal, and when must repayment begin?
What happens to monthly payments in a variable rate mortgage when interest rates increase, assuming the mortgage has a fixed payment structure?
What is the primary purpose of the B-20 stress test for uninsured mortgages?
An Alberta buyer wants to purchase a property for $600,000 with a down payment of $50,000. How is the minimum down payment calculated for this price?
A borrower has a $400,000 mortgage at 5% annual interest, amortized over 25 years. If they make an additional principal payment of $10,000, what is the primary benefit?
- → A client is purchasing a $750,000 home. What is the minimum down payment required?
- → A borrower's variable rate mortgage has reached the trigger point. The outstanding balance is now higher than the original mortgage amount despite making regular payments. What is the most likely explanation and immediate consequence?
- → A self-employed borrower with irregular income is applying for a mortgage. Which documentation requirement is most likely to be emphasized by the lender?
- → In Ontario, under what circumstances can a mortgage lender place a property under Power of Sale proceedings?
- → Under what circumstances might a conventional mortgage (with 20% or more down payment) still be covered by mortgage default insurance?
- → Which scenario would require mortgage default insurance?
- → Which organization is the primary provider of mortgage default insurance for high-ratio mortgages in Canada?
- → Under CMHC's current requirements for homeowner mortgage loan insurance, what is the maximum Total Debt Service (TDS) ratio?
- → Which Canadian mortgage default insurer is a federal Crown corporation?
- → A client has a gross annual income of $80,000 and monthly debt payments of $500. Using a 32% gross debt service ratio, what is their maximum allowable monthly housing payment?
People Also Study
Real Property Law
60 questions
Contracts & Agreements
60 questions
Agency & Professional Ethics
60 questions
Land Use & Planning
50 questions
Related Study Resources
Helpful Resources
Previous Question
A BC strata corporation has imposed a special levy of $25,000 per unit for building repairs. How might this affect a buyer's mortgage qualification?
Next Question
A borrower has a $300,000 mortgage at 4% interest, compounded semi-annually, with a 25-year amortization. What is the approximate monthly payment?