SOA P Sample第147題 - 金融分析師
By Edith
at 2014-05-18T13:28
at 2014-05-18T13:28
Table of Contents
題目是說
The amount of a claim that a car insurance compamy payout follow an
exponential distribution. By imposing a deductible of d, the insurance company
reduces the expected claim payment by 10%.
Calculate the percentage reduction on the variance of claim payment.
答案的詳解 是先假設E(X)=入 E(X^2)=2入^2
然後算E(Y)=0.9入 跟E(Y^2)=0.9 x 2入^2 最後得Var
我就很納悶為何當我們知道E(Y) 之後不能直接平方算Var
為什麼這樣是錯的?
指數分配的Var不是E(x)的平方嗎
還是說他不是指數分配? 為什麼不是?
請大家幫我解惑 謝謝!!!
--
The amount of a claim that a car insurance compamy payout follow an
exponential distribution. By imposing a deductible of d, the insurance company
reduces the expected claim payment by 10%.
Calculate the percentage reduction on the variance of claim payment.
答案的詳解 是先假設E(X)=入 E(X^2)=2入^2
然後算E(Y)=0.9入 跟E(Y^2)=0.9 x 2入^2 最後得Var
我就很納悶為何當我們知道E(Y) 之後不能直接平方算Var
為什麼這樣是錯的?
指數分配的Var不是E(x)的平方嗎
還是說他不是指數分配? 為什麼不是?
請大家幫我解惑 謝謝!!!
--
Tags:
金融分析師
All Comments
By Bennie
at 2014-05-20T23:38
at 2014-05-20T23:38
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