5. Risk Management

Loss Modeling — Quiz

Test your understanding of loss modeling with 5 practice questions.

Practice Questions

Question 1

Which of the following methods is most suitable for approximating the aggregate loss distribution when individual claim severities are highly skewed and a closed-form solution is not available, and computational resources are a significant constraint?

Question 2

Consider a compound Poisson process where the frequency of claims follows a Poisson distribution with mean $ \lambda = 2 $ and the severity of each claim follows a Gamma distribution with shape parameter $ \alpha = 2 $ and scale parameter $ \theta = 500 $. What is the variance of the aggregate loss, $ S $?

Question 3

When using the Panjer recursion formula to calculate the aggregate loss distribution, what is a critical assumption regarding the frequency distribution?

Question 4

In the context of aggregate loss distribution approximation, what is the primary limitation of using the Normal Power (NP) approximation compared to other methods like the Normal approximation or simulation?

Question 5

When simulating aggregate losses using the Monte Carlo method, what is the most effective way to reduce the variance of the estimator for the aggregate loss distribution, assuming a fixed number of simulations?