Actuarial Notes

CAS Exam 5 Fall 2014, Question 17

Study guide: Exam 5

A monoline insurance company writes business in one state. The state has experienced significant increases in insurance costs. In an effort to reduce costs, the state's government passes legislative reforms effective January 1, 2013, which impacts all outstanding and future reported insurance claims.

The legislative reforms were expected to have the following impacts:

  • Reduce the amount of time claims remained open.
  • Reduce the average annual inflation by half of what it was prior to the reforms.

The following information is available for the insurance company as of December 31, 2013:

Cumulative Paid Claims as of (months)

Accident Year 12 24 36 48
2010 $1,000,000 $1,750,000 $2,350,000 $2,850,000
2011 $1,210,000 $2,117,500 $3,059,100
2012 $1,089,000 $2,042,370
2013 $1,709,000

Cumulative Closed Claim Counts as of (months)

Accident Year 12 24 36 48
2010 100 150 180 200
2011 110 165 209
2012 90 144
2013 132

Incremental Closed Claim Counts as of (months)

Accident Year 12 24 36 48
2010 100 50 30 20
2011 110 55 44
2012 90 54
2013 132
Accident Year Ultimate Claim Counts
2010 200
2011 220
2012 180
2013 220

Part a (2.5 points)

Assuming the closure rates and inflation observed during calendar year 2013 continue, use a frequency-severity approach to estimate unpaid claims for accident year 2013.

Part b (1 point)

Discuss whether or not each of the legislative reform impacts has occurred.

Answer this question and see the worked solution

Concepts tested

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