A borrower has a $400,000 mortgage with a 25-year amortization at 3.5% (compounded semi-annually). After making payments for 5 years, approximately how much principal will remain?
Correct Answer
B) $340,000
Using amortization calculations, the monthly payment would be approximately $2,000. After 5 years (60 payments), roughly $60,000 in principal would be paid down, leaving approximately $340,000. Early payments are primarily interest.
Why This Is the Correct Answer
Option B ($340,000) is correct because mortgage amortization follows a predictable pattern where early payments are predominantly interest. With a $400,000 mortgage at 3.5% over 25 years, the monthly payment is approximately $2,000. After 60 payments (5 years), roughly $60,000 in principal has been paid down ($400,000 - $60,000 = $340,000 remaining). This reflects the standard amortization principle where interest comprises the majority of early payments, gradually shifting toward principal over time.
Why the Other Options Are Wrong
Option A: $320,000
$320,000 assumes too much principal reduction. This would require approximately $80,000 in principal payments over 5 years, which significantly overestimates the principal portion of early mortgage payments in a standard amortization schedule.
Option C: $360,000
$360,000 underestimates the principal reduction. This suggests only $40,000 in principal payments over 5 years, which is too conservative even considering the front-loaded interest structure of mortgage amortization.
Option D: $380,000
$380,000 severely underestimates principal reduction, suggesting only $20,000 paid down over 5 years. This fails to account for the actual principal portion included in each monthly payment, even in the early years of amortization.
Deep Analysis of This Mortgage & Real Estate Finance Question
This question tests understanding of mortgage amortization principles, specifically how principal and interest payments are distributed over time. In Canadian real estate, professionals must understand amortization to properly advise clients on mortgage decisions. The key concept is that early mortgage payments consist primarily of interest, with minimal principal reduction. With a $400,000 mortgage at 3.5% over 25 years, the monthly payment is approximately $2,000. However, in the first five years, only about $60,000 of principal is paid down due to the front-loaded interest structure. This knowledge is essential for real estate professionals when discussing mortgage options with clients, as it affects equity building, refinancing decisions, and overall financial planning. Understanding amortization helps agents provide accurate advice about homeownership costs and long-term financial implications.
Background Knowledge for Mortgage & Real Estate Finance
Mortgage amortization is the process of paying down a loan through regular payments over a specified period. In Canada, mortgages are typically compounded semi-annually, affecting the effective interest rate. The amortization schedule shows how each payment is split between principal and interest. Early payments are heavily weighted toward interest because interest is calculated on the outstanding principal balance. As principal decreases over time, more of each payment goes toward principal reduction. Real estate professionals must understand this concept to help clients make informed decisions about mortgage terms, prepayment options, and refinancing strategies. This knowledge is essential for accurate financial counseling.
Memory Technique
The Ice Cream Cone MethodThink of mortgage payments like eating an ice cream cone - you start with mostly ice cream (interest) at the top and gradually work down to more cone (principal) at the bottom. In the first 5 years, you're still mostly eating ice cream, so principal reduction is minimal.
When you see amortization questions, visualize the ice cream cone. Early years = mostly interest (ice cream), later years = mostly principal (cone). This helps you remember that principal reduction starts slowly and accelerates over time.
Exam Tip for Mortgage & Real Estate Finance
For amortization questions, remember the 'early interest rule' - in the first third of the amortization period, expect minimal principal reduction. Quick estimate: divide the original principal by 6-8 for 5-year reduction.
Real World Application in Mortgage & Real Estate Finance
A real estate agent is working with first-time homebuyers who want to understand their equity building potential. The clients are considering a $400,000 mortgage and ask how much equity they'll have after 5 years. The agent explains that with a 25-year amortization at 3.5%, they'll have paid down only about $60,000 in principal, leaving $340,000 owing. This helps the clients understand that early homeownership builds equity slowly through principal reduction, making property appreciation and additional payments important for equity growth.
Common Mistakes to Avoid on Mortgage & Real Estate Finance Questions
- •Assuming equal principal and interest portions throughout the amortization
- •Overestimating principal reduction in early years
- •Confusing amortization period with mortgage term
Key Terms
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