Question

Difficulty: EasyLaw of Large Numbers

A property insurance company insures tens of thousands of similar single-family homes across a large geographic area. According to the Law of Large Numbers, what is the primary benefit the insurer achieves by pooling this massive number of homogeneous exposure units?

  1. A
    It transforms the underlying exposures from pure risks into speculative risks, guaranteeing a financial return.
  2. B
    It functions as a form of risk retention, allowing the homeowners to self-insure against property damage.
  3. It allows the insurer to more accurately predict the expected aggregate losses for the entire pool of homes.Answer
  4. D
    It shifts the primary legal responsibility for paying all claims directly to a reinsurer.

Answer

The correct answer is the option stating that it allows the insurer to more accurately predict the expected aggregate losses for the entire pool of homes.
The Law of Large Numbers states that as the number of similar exposure units increases, the actual losses will more closely approach the mathematically expected losses. This statistical principle is the foundation of insurance, as it allows insurers to accurately predict aggregate claims and charge appropriate premiums for the entire pool.

Step-by-Step Solution

1
Identify the core definition of the Law of Large Numbers.
The Law of Large Numbers is a statistical principle stating that a larger number of similar exposure units leads to more predictable aggregate outcomes.
Understanding the fundamental definition is necessary to evaluate the benefits of pooling risks.
2
Evaluate the options against this statistical principle.
Only the option discussing the accurate prediction of aggregate losses matches the purpose of the Law of Large Numbers.
The other options incorrectly describe risk types, risk handling methods, or the legal function of reinsurance.

Key Concept

The Law of Large Numbers
Estimated Time:45s
Rate this question