GAP Financial Modeling & Forecasting 2 — Questions and Answers
Question 1: In a GAP financial model, which input variable most directly drives the projected GAP claim frequency?
- Prime interest rate
- Loan-to-value ratio at origination (Correct answer)
- Dealer reserve markup
- Credit bureau score distribution
Correct answer: Loan-to-value ratio at origination
Higher LTV ratios at origination mean vehicles are more likely to be underwater when a total loss occurs, directly increasing expected GAP claim frequency.
Question 2: A financial modeler is stress-testing a GAP portfolio under a scenario where used-car prices drop 25%. Which output metric is most critical to monitor?
- Policy count growth rate
- Average GAP benefit payout per claim (Correct answer)
- Dealer markup per contract
- Reinsurance ceding percentage
Correct answer: Average GAP benefit payout per claim
A sharp decline in used-car values widens the gap between outstanding loan balances and actual cash values, increasing the average benefit payout per claim.
Question 3: When forecasting GAP loss ratios, which technique accounts for the non-linear relationship between vehicle age and claim severity?
- Simple linear regression
- Polynomial regression or spline fitting (Correct answer)
- Moving average smoothing
- Year-over-year percentage change
Correct answer: Polynomial regression or spline fitting
Vehicle depreciation curves are non-linear, so polynomial regression or spline fitting better captures the relationship between vehicle age and GAP claim severity.
Question 4: A GAP administrator uses a 36-month rolling average to forecast future claims. What is a key limitation of this approach during a period of rapidly rising auto loan balances?
- It overstates the number of dealers in the network
- It lags current market conditions and understates emerging severity (Correct answer)
- It double-counts reinsurance recoveries
- It ignores the impact of state filing requirements
Correct answer: It lags current market conditions and understates emerging severity
Rolling averages lag current conditions, so during rapidly rising loan balances the model will understate future GAP severity until recent data is incorporated.
Question 5: Which financial metric best measures the adequacy of GAP loss reserves relative to earned premium?
- Debt-to-equity ratio
- Loss ratio (Correct answer)
- Expense ratio
- Return on assets
Correct answer: Loss ratio
The loss ratio (incurred losses divided by earned premium) directly measures whether premium collected is sufficient to cover GAP claims.
Question 6: In modeling GAP product profitability, the 'net written premium' figure is best defined as:
- Gross premium collected minus dealer cost of goods sold
- Gross premium minus ceded reinsurance premium (Correct answer)
- Earned premium plus unearned premium reserve
- Total dealer markup minus administrative fees
Correct answer: Gross premium minus ceded reinsurance premium
Net written premium equals gross written premium minus the premium ceded to reinsurers, reflecting the portion of risk retained by the program.
Question 7: A sensitivity analysis on a GAP pricing model shows that a 1% increase in total loss frequency increases the projected combined ratio by 4 points. This relationship is best described as:
- Non-linear leverage
- Linear elasticity (Correct answer)
- Mean reversion
- Stochastic dominance
Correct answer: Linear elasticity
A proportional, consistent change in output for a unit change in input describes linear elasticity between total loss frequency and combined ratio.
GAP Financial Modeling & Forecasting 2
In a GAP financial model, which input variable most directly drives the projected GAP claim frequency?