Actuarial Notes

CAS Exam 5 Fall 2016, Question 3

Study guide: Exam 5

Given the following data for an insured:

Reported Loss ($) by Report Year Lag:

Report Year Lag 0 Lag 1 Lag 2 Lag 3 Lag 4
2011 75,300 84,000 62,400 59,000 39,800
2012 65,000 63,200 84,000 80,200 62,100
2013 82,100 49,900 55,000 60,600 72,300
2014 90,000 77,000 104,300 45,000 88,300
2015 71,800 89,000 62,000 91,500 46,600
  • Policies run from January 1 through December 31.
  • The insured's coverage changed from occurrence to claims-made on January 1, 2013 with a retroactive date of January 1, 2013.

Part a (0.25 points)

Calculate the reported losses for the 2012 occurrence policy as of December 31, 2015.

Part b (0.25 points)

Calculate the reported losses for the 2014 claims-made policy as of December 31, 2015.

Part c (0.5 points)

Describe how a switch from occurrence to claims-made coverage could affect an insurer's loss reserve risk.

Part d (0.5 points)

Describe how a switch from occurrence to claims-made coverage could affect the target underwriting profit provision.

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Concepts tested

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