Actuarial Notes

CAS Exam 8 Fall 2017, Question 12

Study guide: Exam 8

A policy has a flat dollar deductible of M and a maximum payout on a loss by the insurer of N.

Part a (1 point)

Draw a Lee diagram representing the expected amount of loss incurred by this policy. Label the following:

  • i. The axes
  • ii. The deductible amount
  • iii. The policy limit
  • iv. The expected insured loss.

Part b (0.5 points)

Assume cumulative losses follow a distribution F(x). Write the formula for covered losses for this policy using:

  • i. The layer method
  • ii. The size method

Part c (0.5 points)

Briefly describe when the layer method may be preferred and when the size method may be preferred.

Part d (1.25 points)

Use a Lee diagram to demonstrate the consistency test of ILFs.

Answer this question and see the worked solution

Concepts tested

More questions from this set