Actuarial Notes

CAS Exam 5 Fall 2018, Question 2

Study guide: Exam 5

Given the following premium and loss information:

Premium Transactions

Policy Original Effective Date Original Expiration Date Transaction Effective Date Full-Term Premium ($) Notes
A July 1, 2016 June 30, 2017 July 1, 2016 800 Start of New Policy
A July 1, 2016 June 30, 2017 April 1, 2017 400 Additional Premium for Endorsement
B April 1, 2017 March 31, 2018 April 1, 2017 1,000 Start of New Policy
C October 1, 2017 September 30, 2018 October 1, 2017 500 Start of New Policy
C October 1, 2017 September 30, 2018 April 1, 2018 N/A Policy Canceled

Loss Transactions

Policy Accident Date Payment Date Loss Payment ($)
A October 1, 2016 October 15, 2016 500
A January 1, 2017 January 15, 2017 200
B October 1, 2017 January 15, 2018 500
C January 1, 2018 January 15, 2018 750
  • Each claim is closed on the payment date.

Part a (0.75 points)

Calculate the 2017 calendar year earned premium.

Part b (1.25 points)

Calculate the 2017 policy year loss ratio evaluated at December 31, 2018.

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Concepts tested

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