Actuarial Notes

CAS Exam 8 Fall 2014, Question 13

Study guide: Exam 8

A Table M is constructed based on the experience of the following 10 similarly sized risks:

Risk Aggregate Loss Ratio
1 10%
2 30%
3 35%
4 40%
5 60%
6 75%
7 X%
8 90%
9 110%
10 120%

X is the aggregate loss ratio for Risk 7.

Assume:

  • 75\% \le X \le 90\%
  • The Table M charge at entry ratio 1.5 is 0.05.

Calculate X.

Part a (2 points)

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Concepts tested

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