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暴露与经验评级:概述和注意事项.pdf

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1、Intro to Experience&Exposure RatingEvan Palumbo,FCAS,MAAAMichael DeLucca,FCAS,MAAAExperience Rating1)Compile historical/projected premium(or exposures),historical/projected rate change,and individual large loss&ALAE data2)Adjust historical subject premium to prospective period rate level3)Adjust his

2、torical losses to future price and treaty coverage levels4)Develop adjusted layer losses to ultimate(estimate Incurred but not Reported(IBNR)for Reported,Unpaid for Paid)5)Select non-catastrophe/non-shock experience loss&ALAE6)Load for any catastrophe or shock losses,which may be considered over a l

3、onger selection horizon than non-catProcess Steps&MethodologyExperience Rating Historical premiums and losses should align in time to link loss outcomes with the exposures they mostly likely emanated from:Calendar Year(CY)Earned Premiums with Accident Year(AY)Losses Policy Year(PY)Written Premiums w

4、ith Policy Year Losses Either of the above datasets can be used to rate either of the most common prospective treaty accounting periods,with only the trend period changing between approaches.However,typically there is a preference to use:CY/AY for“Losses Occurring”/“Losses Occurring During”PY/PY for

5、“Risks Attaching”/“Losses Occurring on Risks Attaching”Step 1:Compile Historical ExperienceExperience RatingStep 1:Compile Historical Experience1/1/231/1/241/1/251/1/231/1/241/1/25CY Earned PremiumAY Loss OccurrencesPY WP and PY Loss link back to the effective date of when the actual policy was writ

6、ten,mapping to the actual underlying exposureCY EP and AY Loss could come from policies written in the current or prior period(e.g.assuming one year policies),not necessarily mapping to the actual underlying exposureExperience Rating Gather all losses with necessary attributes:Large claims at half t

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本文主要介绍了经验评级和暴露评级两种再保险费率计算方法。经验评级通过收集历史/预测的保费、历史/预测的费率变化和个别的大额损失及附加费用数据,调整历史主体保费到预期期间的费率水平,调整历史损失到未来的价格和条约覆盖水平,开发调整后的层损失到最终(估计未报告的已发生但未报告损失),选择非灾害/非冲击经验损失及附加费用,加载任何可能考虑的较长时间选择视角的灾害或冲击损失。暴露评级则是通过使用一些生成的曲线/方程式(即严重性分布)将保费/损失分配到各个层带,基于行业数据或公司数据计算直接政策保费对再保险层的暴露部分,然后计算层期望损失。
经验评级如何调整历史损失以适应未来价格和条约覆盖水平? 暴露评级如何通过使用某些生成的曲线/方程式(例如严重性分布)来分配保费/损失到各个层带? 经验评级和暴露评级在选择层损失时,如何考虑经验的可信度?
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