Actuarial Notes

CAS Exam 5 Spring 2016, Question 2

Study guide: Exam 5

An insurance company writes both 6-month and 12-month automobile policies. Given the following information:

Policy Original Effective Date Original Expiration Date Transaction Effective Date Territory Full-Term Written Premium Notes
A January 1, 2015 December 31, 2015 January 1, 2015 1 $1,000 Start of New Policy
A January 1, 2015 December 31, 2015 July 1, 2015 1 N/A Policy Canceled
B July 1, 2015 June 30, 2016 July 1, 2015 1 $500 Start of New Policy
B July 1, 2015 June 30, 2016 September 30, 2015 2 $400 Relocated to Territory 2
C October 1, 2015 March 31, 2016 October 1, 2015 2 $1,000 Start of New Policy
  • Full-term written premium represents the policy premium if policy characteristics shown were in place from original effective date to original expiration date.

Part a (0.75 points)

Calculate the 2015 calendar year written premium as of December 31, 2015.

Part b (0.75 points)

Calculate the 2015 calendar year earned premium as of December 31, 2015.

Part c (0.5 points)

Calculate the in-force premium as of October 1, 2015.

Part d (0.5 points)

Calculate the 2015 calendar year earned exposures separately for Territory 1 and Territory 2 as of December 31, 2015.

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Concepts tested

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