Actuarial Notes

CAS Exam 7 Spring 2019, Question 20

Study guide: Exam 9

The following scatter plots were obtained from simulations of two different copulas with the same Kendall \tau.

Part a (0.75 points)

Identify which copula above is the Normal copula and which is the HRT copula. Fully justify your answer.

Part b (0.5 points)

Briefly describe one advantage for each of the two copulas above when used to aggregate the insured losses from multiple lines of business subject to catastrophe events.

Part c (1 point)

Explain which of the two copulas above will produce the higher result on the joint distribution for the following two metrics:

  • i. Expected value
  • ii. V@R_{0.9}

Answer this question and see the worked solution

Concepts tested

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