GAP Financial Modeling & Forecasting 3 — Questions and Answers
Question 1: When building a GAP reserve model, IBNR (Incurred But Not Reported) reserves are necessary primarily because:
- Dealers delay reporting sales for tax purposes
- Total loss events may occur before the claim is formally filed with the administrator (Correct answer)
- State regulators require a minimum reserve margin
- Reinsurers negotiate lower ceding rates when IBNR is high
Correct answer: Total loss events may occur before the claim is formally filed with the administrator
IBNR reserves account for the time lag between a total loss event and when the administrator receives and records the resulting GAP claim.
Question 2: In a GAP financial forecast, 'earned premium' differs from 'written premium' because:
- Earned premium excludes dealer markup
- Earned premium recognizes revenue pro-rata over the contract term as risk is assumed (Correct answer)
- Written premium accounts for cancellations only
- Earned premium is always higher than written premium
Correct answer: Earned premium recognizes revenue pro-rata over the contract term as risk is assumed
Earned premium is recognized over the coverage period as risk is absorbed, while written premium is recorded at policy inception regardless of remaining term.
Question 3: A GAP program's combined ratio is 108%. What does this indicate about the program's underwriting profitability?
- The program is profitable because investment income covers the gap
- The program is underwriting at a loss—claims and expenses exceed earned premium (Correct answer)
- The program has a favorable loss ratio below 50%
- The dealer network is overcharging for GAP products
Correct answer: The program is underwriting at a loss—claims and expenses exceed earned premium
A combined ratio above 100% means that losses plus expenses exceed earned premium, indicating an underwriting loss before investment income.
Question 4: Which forecasting method is most appropriate when a GAP administrator has only 18 months of historical claims data?
- Bornhuetter-Ferguson method (Correct answer)
- Chain-ladder development method
- Monte Carlo simulation with 10,000 iterations
- Holt-Winters triple exponential smoothing
Correct answer: Bornhuetter-Ferguson method
The Bornhuetter-Ferguson method blends a priori loss estimates with emerging experience, making it more reliable than chain-ladder when historical data is limited.
Question 5: In a GAP model, which scenario best illustrates adverse selection risk in the insured portfolio?
- High-credit borrowers choosing longer loan terms
- Dealers preferentially enrolling high-LTV, subprime borrowers in GAP programs (Correct answer)
- Lenders requiring GAP on all new-vehicle loans
- Reinsurers limiting capacity for commercial vehicle GAP
Correct answer: Dealers preferentially enrolling high-LTV, subprime borrowers in GAP programs
Adverse selection occurs when the highest-risk borrowers (high-LTV, subprime) are disproportionately enrolled, causing actual claims to exceed modeled expectations.
Question 6: A GAP pricing actuary increases the model's assumed annual vehicle depreciation rate from 15% to 20% in Year 1. All else equal, what happens to the projected break-even premium?
- It decreases, because vehicles lose value faster than the loan payoff
- It increases, because faster depreciation widens the gap and raises expected claim severity (Correct answer)
- It remains unchanged, because LTV is set at origination
- It decreases, because higher depreciation shortens the effective risk period
Correct answer: It increases, because faster depreciation widens the gap and raises expected claim severity
Faster depreciation increases the spread between outstanding loan balance and ACV, raising projected claim severity and thus the break-even premium needed.
Question 7: What is the primary purpose of a 'waterfall' cash flow model in a GAP reinsurance structure?
- To schedule dealer premium remittances by month
- To allocate premium, losses, and expenses in priority order among layers of reinsurers (Correct answer)
- To project vehicle depreciation across multiple model years
- To forecast credit losses on dealer floorplan financing
Correct answer: To allocate premium, losses, and expenses in priority order among layers of reinsurers
A waterfall model shows how cash flows through reinsurance layers in priority order, ensuring each layer is funded before excess flows to the next.
GAP Financial Modeling & Forecasting 3
When building a GAP reserve model, IBNR (Incurred But Not Reported) reserves are necessary primarily because: