Actuarial Notes

CAS Exam 5 Spring 2016, Question 4

Study guide: Exam 5

Given the following information:

Claim Policy Effective Date Accident Date Report Date Transaction Date Claim Status Loss Payment Case Reserve Change
1 October 1, 2013 December 15, 2013 January 5, 2014 January 7, 2014 Open - +$5,000
1 October 1, 2013 December 15, 2013 January 5, 2014 March 1, 2014 Open $4,000 -$4,000
1 October 1, 2013 December 15, 2013 January 5, 2014 January 5, 2015 Closed $500 -$1,000
2 November 1, 2013 February 1, 2014 February 10, 2014 March 1, 2014 Open - +$6,000
2 November 1, 2013 February 1, 2014 February 10, 2014 March 15, 2014 Closed $6,000 -$6,000
3 January 1, 2014 June 1, 2014 June 5, 2014 June 10, 2014 Open - +$10,000
3 January 1, 2014 June 1, 2014 June 5, 2014 September 1, 2014 Open $1,000 +$10,000
3 January 1, 2014 June 1, 2014 June 5, 2014 January 3, 2015 Open $4,000 -$5,000
4 June 1, 2014 August 15, 2014 July 15, 2015 July 20, 2015 Open $500 +$5,000
4 June 1, 2014 August 15, 2014 July 15, 2015 March 1, 2016 Open - +$5,000
4 June 1, 2014 August 15, 2014 July 15, 2015 June 1, 2016 Open $5,000 +$7,000
  • Calendar year 2014 earned premium = $50,000.
  • Calendar year 2015 earned premium = $60,000.

Part a (0.5 points)

Calculate the 2015 calendar year case incurred losses.

Part b (0.5 points)

Calculate the 2014 policy year case incurred losses, evaluated at December 31, 2014.

Part c (0.75 points)

Calculate the 2014 accident year case incurred loss ratio, evaluated at December 31, 2015.

Part d (0.5 points)

Provide one advantage and one disadvantage of using policy year data in ratemaking analyses.

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