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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