關於策略經理人的部位規模 - 財經

By Sandy
at 2012-12-09T00:46
at 2012-12-09T00:46
Table of Contents
→ et220870:很期盼聽到您的論證~XD 12/09 00:35
假設我有A策略 我把他的損益定義成隨機變數X1 他的變異數就是Var(Xa) 又假設我有B策略 我把他的損益定義成隨機變數X2 變異數就是Var(Xa)
我有同樣的資金
1.我壓A策略兩口 他的變異數會變成Var(2*Xa) = 4*Var(Xa)
2.我壓B策略兩口 他的變異數會變成Var(2*Xb) = 4*Var(Xb)
3.我壓AB策略各一口 策略組合變異數是Var(Xa+Xb) = Var(Xa)+Var(Xb) + 2*COV(Xa,Xb)
其中AB的相關性小的話COV(Xa,Xb)就會小
而COV(Xa, Xb)一定會比Max(Var(Xa),Var(Xb))小
因此 可以得證
Var(Xa,Xb)至少會比Var(Xa) 或Var(Xb)的其中一個小
大部分的狀況下 會同時比Var(Xa)與Var(Xb)小
(相關係數夠低 又Var(Xa)與Var(Xb)的差距沒很大時)
希望別用土法煉鋼的方式去評斷這個東西吧 這個統計學課本有教
投資組合的分散風險基本上就是從這邊演變而來
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