Actuarial Notes

CAS Exam 5 Spring 2014, Question 22

Study guide: Exam 5

The following information is available for an insurance company:

Month Paid Development Factors to Ultimate Reported Development Factors to Ultimate
12-Ult 2.22 1.54
15-Ult 1.82 1.33
18-Ult 1.50 1.25
21-Ult 1.35 1.18
24-Ult 1.25 1.11

Accident year 2013 as of March 31, 2014:

  • Reported claims: $2,200
  • Paid claims: $1,650
  • Selected ultimate claims: $3,000

Accident year 2013 as of May 31, 2014:

  • Reported claims: $2,500
  • Paid claims: $1,875

Part a (1.25 points)

Considering the data through March 31, 2014, compare the cumulative expected reported claims to the actual reported claims as of May 31, 2014 for accident year 2013.

Part b (1.25 points)

Considering the data through March 31, 2014, compare the cumulative expected paid claims to the actual paid claims as of May 31, 2014 for accident year 2013.

Part c (0.5 points)

Given the results calculated in parts a. and b. above, describe a situation in which the actuary would revise the March 31, 2014 estimate of ultimate claims.

Part d (0.5 points)

Given the results calculated in parts a. and b. above, describe a situation in which the actuary would not revise the March 31, 2014 estimate of ultimate claims.

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