Match each characteristic or outcome of risk pooling with its correct description according to the Law of Large Numbers.
- Homogeneous Exposure UnitsA requirement for pooling where all risks share similar characteristics and loss potential.
- Expanding the Risk PoolA strategy that decreases the statistical variance between expected losses and actual losses.
- Individual Loss PredictabilityAn outcome that remains highly uncertain regardless of the number of insureds in a portfolio.
- Aggregate Loss PredictabilityAn outcome that becomes significantly more accurate as the number of similar exposure units increases.
Answer
Homogeneous Exposure Units matches with a requirement for similar characteristics. Expanding the Risk Pool matches with decreasing statistical variance. Individual Loss Predictability matches with remaining highly uncertain. Aggregate Loss Predictability matches with becoming significantly more accurate.
The correct matches align the fundamental principles of the Law of Large Numbers with their specific actuarial and underwriting outcomes. Homogeneous units are necessary for valid statistical comparison. Expanding the pool directly reduces variance. Most importantly, the principle distinguishes between the inherent unpredictability of an individual risk and the highly predictable nature of a massive aggregate group.
Step-by-Step Solution
Key Concept
The Law of Large Numbers allows insurers to predict aggregate future losses with greater accuracy by pooling a large number of homogeneous, independent exposure units.