Actuarial Notes

CAS Exam 8 Fall 2012, Question 12

Study guide: Exam 8

Undeveloped losses follow a uniform distribution between $0 and $500. Each loss has an equal likelihood of developing such that it is multiplied by either 0.75 or 1.25.

Part a (1 point)

Calculate the excess ratio at $400 for undeveloped losses.

Part b (1.5 points)

Calculate the excess ratio at $300 for developed losses.

Part c (1 point)

Suppose instead that loss multipliers are uniformly distributed between 0.75 and 1.25.

Determine whether the excess ratio at $300 for developed losses will be higher than, equal to, or lower than the excess ratio calculated in part b above. Do not attempt to calculate the new excess ratio.

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