投资者的决策制定
2008 年 10 月 15 日,夏姆·桑德教授
Professor Shyam Sunder October 15, 2008
投资者的决策制定
Decision Making for Investors
迈克尔·J·莫布森 首席投资策略师 美盛资本管理公司
Michael J. Mauboussin Chief Investment Strategist Legg Mason Capital Management
Agenda
Agenda
1\. 最佳实践 过程与结果 胜算把握 理解时间的作用
1. Practices of the best Process versus outcome Odds in your favor Understanding the role of time
2. 期望值 概率 结果
2. Expected value Probabilities Outcomes
3. 我们为何并非最优 陷阱与后果 如何从中获益
3. Why we are suboptimal Pitfalls and the results How we can benefit
The “T” Theory
The “T” Theory
在所有概率性领域中,顶尖高手 —— 专注于过程而非结果 —— 总是力求让胜算站在自己一边 —— 理解时间的作用
The best in all probabilistic fields Focus on process versus outcome Always try to have the odds in their favor Understand the role of time
顶尖者彼此之间的共同点,比他们与行业普通参与者之间的共同点更多。
The best have more in common with one another than they do with the average participant in their field
过程与结果
Process Versus Outcome
在任何概率情境中,你都必须建立一套有纪律且高效的过程。你必须认识到,即便是一个优秀的过程,有时也会产生糟糕的结果。投资界——很大程度上反映了激励机制——如今似乎过于关注结果,而对过程本身关注不足。
In any probabilistic situation, you must develop a disciplined and economic process You must recognize that even an excellent process will yield bad results some of the time The investment community—largely reflecting incentives—now seems too focused on outcomes and not enough on process
过程与结果
Process Versus Outcome
结果 好 好 应得的成功 用于做决策的过程 糟糕 愚蠢的运气
Outcome Good Good Deserved Success Process Used to Make the Decision Bad Dumb Luck
不要混淆结果和过程。
Try not to confuse outcomes and process
资料来源:J. 爱德华·鲁索与保罗·J.H. 舒梅克,《制胜决策》(纽约:道布尔迪出版社,2002 年),第 5 页。5 糟糕 糟糕 转折 诗意正义
Source: J. Edward Russo and Paul J.H. Schoemaker, Winning Decisions (New York: Doubleday, 2002), 5. 5 Bad Bad Break Poetic Justice
投资者的决策过程
Decision Making for Investors
过程与结果
Process Versus Outcome
每次你下注时,只要胜算占优、赔率对你有利,无论这注实际是赢是输,你都已经从中有所收获。同理,当你下注时胜算偏低、赔率对你不利,无论这注实际是赢是输,你都已经蒙受了损失。
Any time you make a bet with the best of it, where the odds are in your favor, you have earned something on that bet, whether you actually win or lose the bet. By the same token, when you make a bet with the worst of it, where the odds are not in your favor, you have lost something, whether you actually win or lose the bet.
戴维·斯克兰斯基,《扑克理论》第 4 版(亨德森,内华达州:Two Plus Two 出版社,1999),第 10 页。
David Sklansky, The Theory of Poker, 4th ed. (Henderson, NV: Two Plus Two Publishing, 1999), 10.
www.expertpokeradvice.com
www.expertpokeradvice.com
过程与结果
Process Versus Outcome
任何个体的决策都可能考虑不周却获得成功,也可能深思熟虑却遭遇失败——因为你已预见的失败可能性真的发生了。但长期来看,更审慎的决策会带来更好的整体结果,而推动这种审慎决策的方法,就是依据决策本身的质量来评判,而非只看结果。
Any individual decisions can be badly thought through, and yet be successful, or exceedingly well thought through, but be unsuccessful, because the recognized possibility of failure in fact occurs. But over time, more thoughtful decision-making will lead to better overall results, and more thoughtful decision-making can be encouraged by evaluating decisions on how well they were made rather than on outcome.
罗伯特·鲁宾,哈佛大学毕业典礼演讲,2001 年。
Robert Rubin, Harvard Commencement Address, 2001.
http://www.treasury.gov/press/releases/images/pr4262ls.jpg
http://www.treasury.gov/press/releases/images/pr4262ls.jpg
对你有利的赔率
Odds In Your Favor
◆ 资产价格反映了一组预期 ◆ 投资者必须理解这些预期 ◆ 预期类似于赔率——而投资过程的目的是发现错误定价 ◆ 或许投资领域最大的单一错误,就是未能区分一家公司基本面的事实与价格所隐含的预期。
Asset prices reflect a set of expectations Investors must understand those expectations Expectations are analogous to the odds—and the goal of the process is finding mispricings Perhaps the single greatest error in the investment business is a failure to distinguish between knowledge of a company’s fundamentals and the expectations implied by the price
对你有利的胜算
Odds In Your Favor
问题不在于比赛中哪匹马最有可能获胜,而在于哪一匹或哪几匹马提供的赔率超过了它们实际获胜的概率……这听起来可能很基础,许多玩家可能认为自己遵循的是这个原则,但实际上很少有人能做到。在这种思维模式下,除了赔率之外的一切都淡出了视野。根本不存在“看好”某匹马赢得比赛这回事,只有它获胜的概率与赔率之间存在有吸引力的落差。
The issue is not which horse in the race is the most likely winner, but which horse or horses are offering odds that exceed their actual chances of victory . . . This may sound elementary, and many players may think that they are following this principle, but few actually do. Under this mindset, everything but the odds fades from view. There is no such thing as “liking” a horse to win a race, only an attractive discrepancy between his chances and his price.
Steven Crist,《克老师的价值》(收录于 Beyer 等人合著的《与高手对赌》)http://www.thoughtleaderforum.com(纽约:《每日赛马制表》出版社,2001 年),第 64 页。
Steven Crist, “Crist on Value,” in Beyer, et al., Bet with the Best http://www.thoughtleaderforum.com (New York: Daily Racing Form Press, 2001), 64.
有利的胜算
Odds In Your Favor
我将“变异性认知”定义为:持有一种有理有据的、与市场共识存在显著差异的观点……
I defined variant perception as holding a well-founded view that was meaningfully different from the market consensus . . .
理解市场预期至少与基本面知识同等重要,而且两者常常并不一致。
Understanding market expectation was at least as important as, and often different from, the fundamental knowledge.
Michael Steinhardt,《直言不讳:我的市场内外生涯》(纽约:John Wiley & Sons,2001 年),第 129 页。
Michael Steinhardt, No Bull: My Life in and Out of Markets (New York: John Wiley & Sons, 2001), 129.
http://www.bloomberg.com/apps/news?pid=20601093&refer=home&sid=aXv9RI2Ful7w
http://www.bloomberg.com/apps/news?pid=20601093&refer=home&sid=aXv9RI2Ful7w
时间的角色
The Role Of Time
由于投资关乎概率,短期表现无法区分过程的优劣。一个优质的过程以长期为焦点。投资界的短期视角代价高昂,且会破坏优质的长期过程。
Because investing is about probabilities, the short-term does not distinguish between good and poor processes A quality process has a long-term focus The investment community’s short-term focus is costly, and undermines a quality long-term process
时间的作用
The Role Of Time
在一个漫长赛季中,运气会趋于平衡,实力终将显现。但在五局三胜甚至七局四胜的系列赛中,一切皆有可能。在五场系列赛中,棒球界最差的球队大约有 15% 的概率击败最强的球队。棒球科学或许仍能让球队占据微弱优势,但这种优势会被偶然性彻底淹没。
Over a long season the luck evens out, and skill shines through. But in a series of three out of five, or even four out of seven, anything can happen. In a five-game series, the worst team in baseball will beat the best about 15 percent of the time. Baseball science may still give a team a slight edge, but that edge is overwhelmed by chance.
迈克尔·刘易斯,《魔球:逆境中制胜的智慧》(纽约:W.W. 诺顿公司,2003 年),第 274 页。
Michael Lewis, Moneyball: The Art of Winning an Unfair Game (New York: W.W. Norton & Company, 2003), 274.
http://www.nytimes.com/2006/10/05/books/05masl.html
http://www.nytimes.com/2006/10/05/books/05masl.html
时间的作用
The Role Of Time
某一场比赛的结果毫无意义,正因如此,我的一条准则始终是“看决策,不看结果”。把正确的事情做足够多次,长期来看,结果自然会水到渠成。
The result of one particular game doesn’t mean a damn thing, and that’s why one of my mantras has always been “Decisions, not results.” Do the right thing enough times and the results will take care of themselves in the long run.
阿马里洛·斯利姆,《胖子世界中的阿马里洛·斯利姆》(纽约:哈珀柯林斯出版社,2003 年),第 101 页。
Amarillo Slim, Amarillo Slim in a World of Fat People (New York: Harper Collins, 2003), 101.
时间的作用:时间套利
The Role Of Time Time arbitrage
100 100 20 Trials 100 Trials 90 90 80 80
100 100 20 Trials 100 Trials 90 90 80 80
头像比例 头像比例
Percentage of Heads Percentage of Heads
原件此处是表格,PDF 抽取时列结构已丢失,下面只剩按列读出的数字,行列对应关系无法还原。核对数据请打开来源正文。
70 70 60 60 50 50 40 40 30 30 20 20 10 10 0 0 0 2 4 6 8 10 12 14 16 18 20 0 10 20 30 40 50 60 70 80 90 100
70 70 60 60 50 50 40 40 30 30 20 20 10 10 0 0 0 2 4 6 8 10 12 14 16 18 20 0 10 20 30 40 50 60 70 80 90 100
试验次数 试验次数
Number of Trials Number of Trials
来源:迈克尔·J·莫布森,《资本理念再探 第二部分》,《莫布森论战略》,美盛资本管理公司,2005 年 5 月 20 日。
Source: Michael J. Mauboussin, “Capital Ideas Revisited Part II,” Mauboussin on Strategy, Legg Mason Capital Management, May 20, 2005.
从理论到实践
From Theory To Practice
◆ 期望值原则 ◆ 你如何设定概率?
Principles of expected value How do you set probabilities?
你是如何衡量结果的?
How do you consider outcomes?
Expected Value
Expected Value
期望价值是所有可能结果分布的概率加权平均值。
Expected value is the weighted average value for a distribution of possible outcomes
用损失的概率乘以可能的损失金额,再用收益的概率乘以可能的收益金额,两者相减。这就是我们试图做的事情。这个方法并不完美,但投资的全部意义就在于此。
Take the probability of loss times the amount of possible loss from the probability of gain times the amount of possible gain. That is what we’re trying to do. It’s imperfect, but that’s what it’s all about.
沃伦·E·巴菲特 1989 年伯克希尔·哈撒韦股东大会。http://blogs.abcnews.com/theblotter/2006/06/lunch_with_warr.html
Warren E. Buffett Berkshire Hathaway Annual Meeting, 1989. http://blogs.abcnews.com/theblotter/2006/06/lunch_with_warr.html
Expected Value
Expected Value
风险与不确定性:风险,我们不知道结果,但知道潜在分布是什么样的,且包含损失/伤害的要素。
Risk versus uncertainty Risk – we don’t know the outcome, but we know what the underlying distribution looks like incorporates the element of loss/harm
不确定性——我们不知道结果会是什么,也不知道背后的分布形态——并不必然包含损失/伤害。来源:http://www.lib.utk.edu/outreach/about/hall_fame/knight.html
Uncertainty – we don’t know the outcome, and we don’t know what the underlying distribution looks like need not incorporate loss/harm Source: http://www.lib.utk.edu/outreach/about/hall_fame/knight.html
来源:弗兰克·H·奈特,《风险、不确定性与利润》(波士顿:霍顿·米夫林出版社,1921 年)。
Source: Frank H. Knight, Risk, Uncertainty, and Profit (Boston: Houghton and Mifflin, 1921).
如何思考概率
How To Think About Probabilities
三种设定概率的方法
Three ways to set probability
1. 信念程度 主观概率 满足概率法则
1. Degrees of belief Subjective probabilities Satisfy probability laws
2\. 倾向性 反映物体或系统的固有属性 掷骰子:六分之一概率
2. Propensity Reflect properties of object or system Roll of a die: one-in-six probability
3. 频率 恰当参照类的大样本 金融界主要身处这一阵营
3. Frequencies Large sample of appropriate reference class Finance community largely in this camp
来源:格尔德·吉仁泽,《计算风险》(纽约:西蒙与舒斯特出版社,2002 年),第 26-28 页。
Source: Gerd Gigerenzer, Calculated Risks (New York: Simon & Schuster, 2002), 26-28.
如何思考概率
How To Think About Probabilities
警惕非平稳性。要使过去的平均值具有意义,被平均的数据必须来自同一个总体。如果并非如此——即数据来自不同的总体——那么这些数据就被称为非平稳的。当数据非平稳时,用过去的平均值进行推算通常会产生荒谬的结果。
Beware of nonstationarity For past averages to be meaningful, the data being averaged must be drawn from the same population. If this is not the case—if the data come from populations that are different—the data are said to be nonstationary. When data are nonstationary, projecting past averages typically produces nonsensical results.
布拉德福德·康奈尔,《股权风险溢价》(纽约:约翰·威利父子出版社,1999 年),第 45–46 页。
Bradford Cornell, The Equity Risk Premium (New York: John Wiley & Sons, 1999), 45-46.
市盈率倍数可能是非稳态的。
Multiples are probably nonstationary http://www.hss.caltech.edu/~bcornell/RESEARCH.htm
如何思考结果
How To Think About Outcomes
标普 500 指数日回报率的频率分布,正常分布与实际日回报率的频率差异,1978 年 1 月至 2007 年 12 月。
Frequency Distribution of S&P 500 Daily Returns Frequency Difference: Normal Versus Actual Daily Returns January 1978 – December 2007 January 1978 – December 2007
300 100
300 100
80 250
80 250
原件此处是表格,PDF 抽取时列结构已丢失,下面只剩按列读出的数字,行列对应关系无法还原。核对数据请打开来源正文。
| 频率差异 | |
| 60 | |
| 200 | |
| 频率 | |
| 40 | |
| 150 | 20 |
| 100 | 0 |
| -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 | |
| -20 | |
| 50 | |
| -40 | |
| 0 | |
| -60 | |
| -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 | |
| 标准差 | |
| 标准差 |
Difference in Frequency 60 200 Frequency 40 150 20 100 0 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 -20 50 -40 0 -60 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 Standard Deviation Standard Deviation
Source: FactSet.
Source: FactSet.
频率与幅度:频率(概率)和幅度(结果)两者都很重要
Frequency Versus Magnitude Frequency (probability) and magnitude (outcome) both matter
高概率,低期望值
Good probability, bad expected value
| 概率 | 结果 | 加权价值 |
|---|---|---|
| 70% | +1% | +0.7% |
| 30% | -10% | -3.0% |
| 100% | — | -2.3% |
Probability Outcome Weighted Value 70% +1 % +0.7% 30% -10 -3.0 100% -2.3%
糟糕的胜率,良好的期望值
Bad probability, good expected value
概率 结果 加权价值 70% -1% -0.7% 30% +10% +3.0% 100% +2.3%
Probability Outcome Weighted Value 70% -1 % -0.7% 30% +10 +3.0 100% +2.3%
我们为何并非最优
Why We Are Suboptimal
行为金融学陷阱
Behavioral finance pitfall Result
过度自信——结果区间过窄
Overconfidence Outcome range too narrow
锚定与调整——锚定于过去的事件或趋势
Anchoring and adjustment Anchor on past event or trend
框架效应:卖掉盈利的股票,持有亏损的股票。
Framing effect Sell winners and hold losers
确认陷阱:寻找能够证实自身观点的信息,同时无视或贬低与之相反的证据。
Confirmation trap Seek confirming information and dismiss or discount disconfirming information
情境的力量
The Power of the Situation
脑损伤患者
Brain-Damaged Patients
资料来源:迈克尔·J·莫布森(Michael J. Mauboussin),《断言与回避》,《莫布森论战略》,莱格梅森资本管理公司,2005 年 8 月 9 日;巴巴·希夫(Baba Shiv)、乔治·洛温斯坦(George Loewenstein)、安托万·贝沙拉(Antoine Bechara)、汉娜·达马西奥(Hanna Damasio)和安东尼奥·R·达马西奥(Antonio R. Damasio),《投资行为与情绪的消极面》,《心理科学》,第 16 卷,第 6 号,第 435-439 页。
Source: Michael J. Mauboussin, “Aver and Aversion,” Mauboussin on Strategy, Legg Mason Capital Management, August 9, 2005; Baba Shiv, George Loewenstein, Antoine Bechara, Hanna Damasio, and Antonio R. Damasio, “Investment Behavior and the Negative Side of Emotion,” Psychological Science, Volume 16, Number 6, 435-439.
情境的力量
The Power of the Situation
路西法效应
The Lucifer Effect
来源:www.prisonexp.org。经许可使用。
Source: www.prisonexp.org. Used by permission.
情境的力量
The Power of the Situation
| 光环效应 | ||
|---|---|---|
| T-2 | T+2 | |
| 类别 1 | +42.7% | +4.2% |
| 类别 5 | -34.6% | +12.4% |
The Halo Effect T-2 T+2 Category 1 +42.7% +4.2% Category 5 -34.6% +12.4%
汤姆·阿诺德、小约翰·H·厄尔与戴维·S·诺思合著,《封面故事是否构成有效逆向指标?》,来源:http://sds.hss.cmu.edu/media/pdfs/Loewenstein/shivetal_InvestmentBehavior.pdf。《金融分析师期刊》,第 63 卷·第 2 期,2007 年,第 73-75 页。
Tom Arnold, John H. Earl, Jr., and David S. North, “Are Cover Stories Effective Contrarian Source: http://sds.hss.cmu.edu/media/pdfs/Loewenstein/shivetal_InvestmentBehavior.pdf. Indicators?” Financial Analysts Journal, Volume 63 • Number 2, 2007, 73-75.
我们如何受益?
How Can We Benefit?
◆ 寻找多样性失效 我们常常通过观察他人来做决策
Look for diversity breakdowns We often make decisions by observing others
模仿在投资领域名声不佳,但在日常生活中却普遍存在 信息级联——一个人理性或随意的决定引发许多人效仿的行为
Imitation has a bad name in investing but is common in everyday life Information cascades―a reasoned or arbitrary decision by one individual triggers action by many
Social Psychology
Social Psychology
所罗门·阿施关于社会从众性的研究
Solomon Asch’s study of social conformity
X A B C Source: LMCM.
X A B C Source: LMCM.
来源:www.web.lemoyne.edu/~hevern/psy101_04F/psy101graphics/aschconform.jpg
Source: www.web.lemoyne.edu/~hevern/psy101_04F/psy101graphics/aschconform.jpg.
Social Psychology
Social Psychology
Asch wondered…
Asch wondered...
这是否曲解了:
is it a distortion of:
Judgment?
Judgment?
Action?
Action?
Perception?
Perception?
来源:桑德拉·布莱克斯利,《别人说的话可能会改变你看到的东西》,《纽约时报》在线版,2005 年 6 月 28 日。
Source: Sandra Blakeslee, “What Other People Say May Change What You See,” New York Times Online, June 28, 2005.
Neuroscience
Neuroscience
Greg Berns
Greg Berns
“我们倾向于认为眼见为实,但所谓的眼见为实,其实只是相信群体让你相信的东西罢了。”
“We like to think that seeing is believing, but seeing is believing what the group tells you to believe.”
来源:经生物精神病学学会许可,转载自《生物精神病学》期刊,Gregory S. Berns、Jonathan Chappelow、Caroline F. Zink、Giuseppe Pagnoni、Megan Martin-Skurski 与 Jim Richards 所著《心理旋转过程中社会从众与独立的神经生物学相关性》,2005 年 6 月 22 日。
Source: Reprinted from Biological Psychiatry, Gregory S. Berns, Jonathan Chappelow, Caroline F. Zink, Giuseppe Pagnoni, Megan Martin-Skurski, and Jim Richards, “Neurobiological Correlates of Social Conformity and Independence During Mental Rotation,” June 22, 2005, with permission from Society of Biological Psychiatry.
Takeaways
Takeaways
◆ 投资是一项概率性活动 ◆ 期望值是思考股票的正确方式 ◆ 在客观评估概率与结果时,存在许多陷阱 ◆ 我们需要保持思维上的自律,否则长期来看,我们会输给那些保持自律的人 ◆ 市场会周期性地走向极端
Investing is a probabilistic exercise Expected value is the proper way to think about stocks There are many pitfalls in objectively assessing probabilities and outcomes We need to practice mental discipline or else we’ll lose long-term to someone who is practicing that discipline Markets periodically go to excesses
2008 年 10 月 15 日,夏姆·桑德教授
Professor Shyam Sunder October 15, 2008
投资者的决策制定
Decision Making for Investors
迈克尔·莫布森 首席投资策略师 美盛资本管理公司
Michael J. Mauboussin Chief Investment Strategist Legg Mason Capital Management
本演示文稿所表达的观点反映的是美盛资本管理公司(LMCM)截至本演示文稿发布之日的看法。这些观点可能随时因市场或其他条件的变化而改变,LMCM 不承担更新这些观点的任何责任。这些观点不可被视为投资建议,并且由于 LMCM 客户的各项投资决策是基于多重因素做出的,因此也不得被视为公司交易意图的指示。本演示文稿中提供的信息不应被视为 LMCM 或其任何关联公司对购买或出售任何证券的建议。若评论中提及了特定证券,这些证券是由作者客观挑选出来的,旨在阐明演示文稿所表达的观点。如果提及了特定证券,它们并不代表 LMCM 为客户购买、出售或推荐的所有证券,并且不能假设对这些证券的投资已经或将会获利。无法保证演示文稿中提及的任何证券过去或将来会被推荐给 LMCM 的客户。LMCM 及其关联公司的员工可能持有本文中提到的证券。
The views expressed in this presentation reflect those of Legg Mason Capital Management (LMCM) as of the date of this presentation. These views are subject to change at any time based on market or other conditions, and LMCM disclaims any responsibility to update such views. These views may not be relied upon as investment advice and, because investment decisions for clients of LMCM are based on numerous factors, may not be relied upon as an indication of trading intent on behalf of the firm. The information provided in this presentation should not be considered a recommendation by LMCM or any of its affiliates to purchase or sell any security. To the extent specific securities are mentioned in the commentary, they have been selected by the author on an objective basis to illustrate views expressed in the presentation. If specific securities are mentioned, they do not represent all of the securities purchased, sold or recommended for clients of LMCM and it should not be assumed that investments in such securities have been or will be profitable. There is no assurance that any security mentioned in the presentation has ever been, or will in the future be, recommended to clients of LMCM. Employees of LMCM and its affiliates may own securities referenced herein.