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11 exercise(s) shown, 12 hidden
Oct 18'24

An actuary is establishing reserves for a group of policies as of December 31, CY3. You are given the following table of reserve estimates for AY1 and AY2:


Reserve estimates as of December 31, CY3
[math]R_{BF}[/math] [math]R_{LR}[/math] [math]R_{CL}[/math]
AY1 400,000 250,000 437,500
AY2 1,120,000 1,200,000 ?

where [math]R_{BF}[/math] is the loss reserve under the Bornhuetter-Ferguson method, [math]R_{LR}[/math] is the loss reserve under the Expected Loss Ratio method, and [math]R_{CL}[/math] is the loss reserve under the Chain Ladder method.

If [math]f_2[/math], the loss development factor from the paid-loss-development triangle at duration 2, equals 1.05, determine the reserve estimate as of December 31, CY3 using the chain ladder method.

  • 950,000
  • 1,050,000
  • 1,100,000
  • 1,150,000
  • 1,200,000