Actuarial Notes

CAS Exam 7 Spring 2017, Question 9

Study guide: Exam 7

Given the following information:

Unlimited Age-to-Age Reported Loss and ALAE Development Factors:

12-24 24-36 36-48 48-60 60-ult
1.463 1.309 1.114 1.043 1.019

Limited Severity Relativities:

Limit 12 24 36 48 60 Ult
$100,000 0.95 0.93 0.90 0.88 0.86 0.85
$250,000 0.99 0.97 0.96 0.95 0.94 0.94

Accident Year 2015 limited reported loss and ALAE at 24 months:

Limit 24 months
$100,000 $3,450,000
$250,000 $3,675,000

Calculate the IBNR for the losses in the $100,000 to $250,000 layer for accident year 2015 at 24 months using Siewert's direct development approach.

Part a (2.25 points)

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Concepts tested

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