Actuarial Notes

CAS Exam 8 Fall 2014, Question 6

Study guide: Exam 8

Losses on a policy have the following distribution:

  • 60% probability of a loss between $0 and $250,000
  • 30% probability of a loss between $250,000 and $500,000
  • 10% probability of a loss between $500,000 and $1 million

Losses are uniformly distributed within each range. Assume a 20% trend is applied uniformly to all losses.

Part a (1.5 points)

Draw a diagram depicting the cumulative loss distribution described above before and after the 20% trend. Label all relevant features of the diagram.

Part b (2 points)

Calculate the implied trend for the layer $500,000 excess of $500,000.

Answer this question and see the worked solution

Concepts tested

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