期貨真的是零和嗎? - 期貨

By Freda
at 2010-10-29T16:52
at 2010-10-29T16:52
Table of Contents
其實說成白話就是
一般人的投資規模會受資金影響
手上資金越多, 就會投入越多的資金
然而這往往造成虧損
Van K.Tharp作過一個實驗
他找了四十個人來玩一個勝率六成的賭局
每個人每次可以自由選擇下注的金額
贏的時候可以得到一倍的賭金, 輸的時候則沒收賭金
這個遊戲看起來對賭客有利, 期望值有1.2倍
然而當每個人都玩過一百局之後, 四十個人只有三個人賺錢
原因就是當你賺錢之後, 你會下更大的注, 導致之後的更大的損失
在上述這個例子中, 假設某人每次下注本金n%的賭金
那麼他的期望值就是: (1+n%)*(1+n%)*(1+n%)*(1-n%)*(1-n%)
當n>38, 期望值就小於1: 1.39*1.39*1.39*0.61*0.61=0.99931
如果是五成勝率的遊戲, 基本上n>0期望值就小於1
--
願歲月靜好,現世安穩
--
一般人的投資規模會受資金影響
手上資金越多, 就會投入越多的資金
然而這往往造成虧損
Van K.Tharp作過一個實驗
他找了四十個人來玩一個勝率六成的賭局
每個人每次可以自由選擇下注的金額
贏的時候可以得到一倍的賭金, 輸的時候則沒收賭金
這個遊戲看起來對賭客有利, 期望值有1.2倍
然而當每個人都玩過一百局之後, 四十個人只有三個人賺錢
原因就是當你賺錢之後, 你會下更大的注, 導致之後的更大的損失
在上述這個例子中, 假設某人每次下注本金n%的賭金
那麼他的期望值就是: (1+n%)*(1+n%)*(1+n%)*(1-n%)*(1-n%)
當n>38, 期望值就小於1: 1.39*1.39*1.39*0.61*0.61=0.99931
如果是五成勝率的遊戲, 基本上n>0期望值就小於1
--
願歲月靜好,現世安穩
--
Tags:
期貨
All Comments

By Tracy
at 2010-10-29T22:35
at 2010-10-29T22:35

By Candice
at 2010-10-31T19:54
at 2010-10-31T19:54

By Anonymous
at 2010-11-05T06:23
at 2010-11-05T06:23

By Ivy
at 2010-11-08T20:25
at 2010-11-08T20:25

By Xanthe
at 2010-11-13T13:10
at 2010-11-13T13:10
而Van K的實驗 支持這個現象
KZHenry 你要不要在去確認一下?

By Isla
at 2010-11-14T04:03
at 2010-11-14T04:03

By Necoo
at 2010-11-16T15:09
at 2010-11-16T15:09
是這樣嗎?

By Quanna
at 2010-11-20T09:48
at 2010-11-20T09:48
這個叫凱利方程式

By Franklin
at 2010-11-22T00:09
at 2010-11-22T00:09

By Carol
at 2010-11-22T18:17
at 2010-11-22T18:17

By Gary
at 2010-11-25T13:50
at 2010-11-25T13:50

By Elizabeth
at 2010-11-30T10:28
at 2010-11-30T10:28

By Ophelia
at 2010-11-30T20:39
at 2010-11-30T20:39

By Quanna
at 2010-12-03T18:18
at 2010-12-03T18:18

By William
at 2010-12-03T21:51
at 2010-12-03T21:51

By Daniel
at 2010-12-07T18:43
at 2010-12-07T18:43

By Faithe
at 2010-12-09T05:21
at 2010-12-09T05:21

By Andrew
at 2010-12-12T15:35
at 2010-12-12T15:35

By Una
at 2010-12-15T16:19
at 2010-12-15T16:19

By Faithe
at 2010-12-16T08:33
at 2010-12-16T08:33

By Noah
at 2010-12-21T00:30
at 2010-12-21T00:30

By Hazel
at 2010-12-25T13:33
at 2010-12-25T13:33

By Blanche
at 2010-12-29T18:12
at 2010-12-29T18:12
不一定如此

By Edward Lewis
at 2011-01-03T05:35
at 2011-01-03T05:35

By Victoria
at 2011-01-05T21:03
at 2011-01-05T21:03
你只要翻書便知

By George
at 2011-01-06T11:54
at 2011-01-06T11:54

By Tom
at 2011-01-07T02:59
at 2011-01-07T02:59

By Tristan Cohan
at 2011-01-08T15:49
at 2011-01-08T15:49
每次都下同樣的金額? 這樣當然是0
問題是人不是這樣下注的

By Skylar Davis
at 2011-01-12T04:48
at 2011-01-12T04:48

By Quanna
at 2011-01-15T02:49
at 2011-01-15T02:49

By Erin
at 2011-01-16T19:21
at 2011-01-16T19:21
寫下去試.... 結果,發現這能控制「陣亡率」....因為冒大險

By Gilbert
at 2011-01-18T02:40
at 2011-01-18T02:40

By Joe
at 2011-01-19T12:16
at 2011-01-19T12:16

By Ina
at 2011-01-20T12:10
at 2011-01-20T12:10

By Ida
at 2011-01-21T21:53
at 2011-01-21T21:53
都是+20%.... 覺得很奇怪,後來去看了一下..... 我那數據的開

By Blanche
at 2011-01-25T04:17
at 2011-01-25T04:17

By Damian
at 2011-01-26T02:05
at 2011-01-26T02:05

By Brianna
at 2011-01-30T20:27
at 2011-01-30T20:27
↑回

By Puput
at 2011-02-01T03:28
at 2011-02-01T03:28

By Daniel
at 2011-02-05T03:20
at 2011-02-05T03:20

By Todd Johnson
at 2011-02-08T17:28
at 2011-02-08T17:28

By Jack
at 2011-02-11T04:23
at 2011-02-11T04:23

By Andrew
at 2011-02-13T13:17
at 2011-02-13T13:17

By Jacky
at 2011-02-18T12:17
at 2011-02-18T12:17

By Iris
at 2011-02-19T12:54
at 2011-02-19T12:54

By Bethany
at 2011-02-20T19:38
at 2011-02-20T19:38

By Audriana
at 2011-02-22T07:15
at 2011-02-22T07:15

By Edward Lewis
at 2011-02-26T15:25
at 2011-02-26T15:25
網

By Quintina
at 2011-02-26T21:04
at 2011-02-26T21:04

By Barb Cronin
at 2011-03-03T11:39
at 2011-03-03T11:39

By Steve
at 2011-03-07T16:57
at 2011-03-07T16:57

By Edwina
at 2011-03-12T13:31
at 2011-03-12T13:31

By Ina
at 2011-03-16T12:27
at 2011-03-16T12:27

By Dinah
at 2011-03-21T00:17
at 2011-03-21T00:17

By David
at 2011-03-25T17:40
at 2011-03-25T17:40

By Jessica
at 2011-03-26T13:40
at 2011-03-26T13:40

By Suhail Hany
at 2011-03-28T01:51
at 2011-03-28T01:51

By Skylar Davis
at 2011-03-29T23:17
at 2011-03-29T23:17
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