A borrower has a $400,000 mortgage split equally between a 2-year fixed rate at 6.5% and a floating rate currently at 7.2%. If interest rates increase by 1%, what will be the impact on their total annual interest cost?
Correct Answer
A) Increase by $2,000
Only the floating portion ($200,000) will be immediately affected by the 1% rate increase, as the fixed portion is locked in. The additional annual interest cost will be $200,000 × 1% = $2,000. The fixed rate portion remains unchanged until it comes up for renewal.
Why This Is the Correct Answer
Option A is correct because only the floating rate portion of the mortgage ($200,000) is immediately affected by interest rate changes. The fixed rate portion ($200,000 at 6.5%) remains unchanged until renewal. When rates increase by 1%, the additional annual interest cost is calculated as: $200,000 × 1% = $2,000. This demonstrates the fundamental principle that fixed rates provide protection against immediate rate fluctuations, while floating rates expose borrowers to market movements. The calculation focuses solely on the exposed portion of the loan.
Why the Other Options Are Wrong
Option B: Increase by $3,000
Option B incorrectly calculates the impact as $3,000, which would suggest applying a 1.5% increase to $200,000 or a 0.75% increase to the full $400,000. This error likely stems from misunderstanding the mortgage structure or incorrectly calculating the rate impact. The actual calculation should only consider the floating portion ($200,000) multiplied by the 1% increase, resulting in $2,000, not $3,000.
Option C: Increase by $4,000
Option C suggests the impact is $4,000, which would be correct if the entire $400,000 mortgage was on a floating rate ($400,000 × 1% = $4,000). This error occurs when candidates fail to recognize that the mortgage is split equally between fixed and floating portions. Only half the mortgage ($200,000) is exposed to immediate rate changes, making the correct impact $2,000, not $4,000.
Option D: No immediate change
Option D incorrectly suggests no immediate change occurs. This fails to recognize that floating rate mortgages immediately reflect interest rate movements. While the fixed portion remains unchanged, the floating portion ($200,000) will immediately experience the 1% rate increase, resulting in additional annual interest costs of $2,000. Floating rates, by definition, fluctuate with market conditions and affect borrowers' payments immediately.
Deep Analysis of This Finance Question
This question tests understanding of split mortgage structures and interest rate risk exposure, fundamental concepts for real estate agents advising clients on financing options. The scenario involves a $400,000 mortgage divided equally between fixed and floating rate portions. When interest rates rise, only the floating portion immediately reflects the change, while the fixed portion remains protected until renewal. This demonstrates the risk management principle of diversified mortgage structures. Understanding this concept is crucial for agents as it affects client affordability assessments, refinancing decisions, and long-term financial planning. The calculation requires identifying which portion is exposed to rate changes ($200,000 floating) and applying the rate increase (1%) to determine the annual impact ($2,000). This knowledge helps agents explain mortgage products and their implications to clients making property purchase decisions.
Background Knowledge for Finance
Split mortgages allow borrowers to divide their loan between fixed and floating rate portions, providing both stability and flexibility. Fixed rates remain constant for the agreed term regardless of market movements, offering payment certainty. Floating rates fluctuate with market conditions, typically following the Official Cash Rate set by the Reserve Bank of New Zealand. This structure helps borrowers manage interest rate risk while maintaining some exposure to potential rate decreases. Understanding these products is essential for real estate agents as they significantly impact client affordability and purchasing decisions. The Reserve Bank's monetary policy directly influences floating rates, making economic awareness crucial for property professionals.
Memory Technique
Think of a split mortgage like a shield that's half-broken. The 'fixed' half (shield intact) protects you from rate arrows, while the 'floating' half (broken shield) lets rate arrows through. When rates increase, only the unprotected floating portion gets hit. Calculate impact only on the exposed (floating) amount.
When you see split mortgage questions, immediately identify which portion is 'shielded' (fixed) and which is 'exposed' (floating). Apply rate changes only to the exposed portion. Draw a simple shield diagram if needed during the exam to visualize the protection concept.
Exam Tip for Finance
For split mortgage rate impact questions: 1) Identify the floating portion amount, 2) Apply the rate change only to that portion, 3) Multiply by the rate change percentage for annual impact. Ignore the fixed portion completely when calculating immediate effects.
Real World Application in Finance
Sarah is considering purchasing a $800,000 home with a split mortgage: $400,000 fixed at 5.5% for 3 years and $400,000 floating at 6.2%. Her agent explains that if the Reserve Bank raises rates by 0.5%, only her floating portion will be affected immediately, increasing her annual interest by $2,000 ($400,000 × 0.5%). This knowledge helps Sarah budget for potential rate rises and understand her risk exposure, influencing her decision on the fixed/floating split ratio.
Common Mistakes to Avoid on Finance Questions
- •Applying rate changes to the entire mortgage amount instead of just the floating portion
- •Confusing which portion is affected immediately versus at renewal
- •Calculating monthly instead of annual impact when the question asks for annual figures
Related Topics & Key Terms
Key Terms:
More Finance Questions
What is the current standard LVR (Loan-to-Value Ratio) restriction for owner-occupier residential property purchases in New Zealand?
What is the minimum amount a first home buyer can withdraw from their KiwiSaver account for a house deposit?
Which type of mortgage has an interest rate that remains unchanged for the entire loan term?
What is the maximum KiwiSaver HomeStart grant available to a couple purchasing their first home?
Sarah and Tom are first home buyers with a combined annual income of $140,000. They have found a house for $750,000 and have a 15% deposit. What additional challenge might they face under current lending restrictions?
- → What is a key advantage of a revolving credit mortgage facility?
- → When assessing a mortgage application, which factor is typically given the highest priority by New Zealand lenders?
- → Under the Responsible Lending Code, what must lenders verify before approving a mortgage?
- → A property investor wants to purchase a $900,000 rental property. Under current RBNZ LVR restrictions, what is the minimum deposit they would typically need to provide?
- → James has been contributing to KiwiSaver for 4 years and wants to withdraw funds for his first home. His KiwiSaver balance is $45,000, but $15,000 consists of government contributions and employer matching. What is the maximum he can withdraw for his house deposit?
- → What does LVR stand for in New Zealand mortgage lending?
- → Under current RBNZ LVR restrictions, what is the typical maximum LVR for owner-occupier first home buyers?
- → What is the minimum age requirement for accessing KiwiSaver funds for a first home purchase?
- → Which type of mortgage allows borrowers to make additional payments without penalty and redraw those funds when needed?
- → Sarah has been a KiwiSaver member for 4 years and wants to withdraw funds for her first home. Her KiwiSaver balance is $45,000. What is the maximum amount she can typically withdraw?
People Also Study
Property Law & Legislation
130 questions
Agency Practice
130 questions
Sale & Purchase Process
130 questions
Professional Conduct & Ethics
110 questions
Related Study Resources
Previous Question
A bank is calculating a borrower's debt-to-income ratio for mortgage approval. The borrower earns $80,000 annually and has existing debt commitments of $800 per month. They want a mortgage requiring monthly payments of $2,200. What is their total debt-to-income ratio?
Next Question
A borrower has a $400,000 mortgage with monthly payments of $2,200. After 5 years, they still owe $380,000. What type of mortgage structure is this most likely to be?