良好投资流程的特征:决策制定的关键作用
2005 年 9 月 28 日,夏姆·桑德教授
Professor Shyam Sunder September 28, 2005
优秀投资过程的特质
决策的关键作用
迈克尔·J·莫布森
首席投资策略师
美盛资本管理
Attributes of a Good Investment Process The Critical Role of Decision Making Michael J. Mauboussin Chief Investment Strategist Legg Mason Capital Management
投资者的决策过程
Decision-making for Investors
投资过程
The Investment Process
| 信息 | 信息 | |
|---|---|---|
| 分析 | 决策 | |
| ◆ 来源 | ◆ 经济焦点 | ◆ 正确的框架 |
| ◆ 多样性 | ◆ 竞争策略 | ◆ 避免陷阱 |
| ◆ 权衡 | ◆ 类比与隐喻 | ◆ 内化技巧 |
Information Information analysis making Sources Economic focus Proper framing Diversity Competitive strategy Avoid pitfalls Weighing Analogy and metaphor Internalize techniques
Agenda
Agenda
1. 最佳实践的法则 ❖ 过程 vs. 结果 ❖ 胜算在你这一边 ❖ 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. 为什么我们做得不够好 启发式与偏见 我们如何从中受益
3. Why we are suboptimal Heuristics and biases How we can benefit
The T Theory
The T Theory
在所有涉及概率的领域,最好的做法是关注过程而非结果,始终设法让概率站在自己一边,并理解时间在其中扮演的角色。
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
最好的企业在彼此之间拥有的共同点,比它们与所在领域普通参与者之间的共同点还要多。
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
在任何涉及概率的情境中,你都必须建立一套严格且经济高效的流程。你必须认识到,即便是一套出色的流程,有时也会产生糟糕的结果。投资界——很大程度上是出于激励机制的考量——如今似乎过于关注结果,而对过程的重视明显不足。
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
好结果 坏结果
Outcome Good Bad
应得的成功 厄运 决策流程 坏决策 运气太差 天道好还
Good Deserved Success Bad Break Process Used to Make the Decision Bad Dumb Luck Poetic Justice
来源:J. Edward Russo 与 Paul J.H. Schoemaker,《做出正确决策》(Winning Decisions)(纽约:Doubleday,2002 年),第 5 页。
Source: J. Edward Russo and Paul J.H. Schoemaker, Winning Decisions (New York: Doubleday, 2002), 5.
不要混淆结果与过程。
Try not to confuse outcomes and process
过程与结果 每当你在赢面占优、赔率对你有利时下注,无论这注最终是赢是输,你都已在那笔赌注中有所收获。同理,当你下注时赢面处于劣势、赔率对你不利,无论这注最终是赢是输,你都已经输掉了某些东西。
Process versus Outcome 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·斯克朗斯基,《扑克理论》,第 4 版。
David Sklansky, The Theory of Poker, 4th ed.
(Henderson, NV: Two Plus Two Publishing, 1999),第 10 页。
(Henderson, NV: Two Plus Two Publishing, 1999), 10.
过程与结果:任何单个决策都有可能经过糟糕的思考却能成功,或者经过极其周全的思考却失败了——因为事先已认识到的失败可能性的确发生了。但长期来看,更审慎的决策会带来更优的整体结果,而鼓励审慎决策的方式,是根据决策本身的质量而非结果来评判它。
Process versus Outcome 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 2001 年哈佛大学毕业典礼演讲
Robert Rubin Harvard Commencement Address, 2001
你的胜算更高
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——整个流程的目标是找到错误定价 ◆ 投资行业最大的单一错误,或许就是无法区分对公司基本面的了解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
对你有利的赔率 问题不在于哪匹马最有可能赢得比赛,而是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……这听起来可能很简单,很多玩家可能认为自己在遵循这个原则,但实际做到的寥寥无几。在这种思维方式下,除了赔率之外的一切都从视野中消失了。根本不存在“看好”某匹马赢得比赛这回事,只存在它的获胜概率与赔率之间的诱人差距。
Odds In Your Favor 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.
史蒂文·克里斯特,《论价值》,收录于拜尔等人合著《与最强者对赌》(纽约:Daily Racing Form Press,2001 年),第 64 页。
Steven Crist, “Crist on Value,” in Beyer, et al., Bet with the Best (New York: Daily Racing Form Press, 2001), 64.
对您有利的赔率
Odds In Your Favor
我将变异性认知定义为:持有一种有理有据的视角,与市场共识存在显著差异……理解市场预期至少与基本面知识同等重要,且两者往往并不相同。
I defined variant perception as holding a well-founded view that was meaningfully different from the market consensus . . . Understanding market expectation was at least as important as, and often different from, the fundamental knowledge.
迈克尔·斯坦哈特,《不做牛市:我的市场内与市场外人生》(纽约:约翰·威利父子出版社,2001 年),第 129 页。
Michael Steinhardt, No Bull: My Life in and Out of Markets (New York: John Wiley & Sons, 2001), 129.
时间的作用
The Role of Time
因为投资关乎概率,短期表现无法区分好的和差的流程 一个高质量的流程具有长期视角 投资界对短期的关注代价高昂,并且会损害高质量的长期流程
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
时间的角色:在漫长的赛季中,运气终会扯平,技艺方能崭露头角。但在一轮五局三胜、甚至七局四胜的系列赛中,什么都有可能发生。在五局系列赛中,棒球最差的球队大约有 15% 的几率战胜最强的球队。棒球科学仍可能赋予球队微弱优势,但这种优势会被偶然性彻底淹没。
The Role of Time 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:赢在不公平比赛中的艺术》(纽约:W.W. 诺顿出版社,2003 年),第 274 页。
Michael Lewis, Moneyball: The Art of Winning an Unfair Game (New York: W.W. Norton & Company, 2003), 274.
时间的作用 某一场比赛的结果根本不值一提,所以我的一句座右铭一直是“重决策,轻结果”。只要做对的事情次数足够多,从长远来看,结果自然会水到渠成。
The Role of Time 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,《胖子世界里的阿马里洛·斯利姆》(纽约:哈珀柯林斯,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 1 1 0.9 0.9 0.8 0.8
The Role of Time 1 1 0.9 0.9 0.8 0.8
正面的比例 0.7 0.7
Percentage of Heads 0.7 0.7
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。
正面占比 0.6 0.6 0.5 0.5 0.4 0.4 0.3 0.3 0.2 0.2 0.1 0.1 0 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 1 21 41 61 81
Percentage of Heads 0.6 0.6 0.5 0.5 0.4 0.4 0.3 0.3 0.2 0.2 0.1 0.1 0 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 1 21 41 61 81
试算
Trial Number Trial Number
从理论到实践
From Theory to Practice
◆ 期望值原理 ◆ 你如何设定概率?
Principles of expected value How do you set probabilities?
您如何考量结果?
How do you consider outcomes?
Expected Value
Expected Value
期望价值是一个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
用损失概率乘以可能的损失金额,再对比盈利概率乘以可能的盈利金额。这正是我们努力去做的事。
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
是的。它并不完美,但这就是它的意义所在。
do. It’s imperfect, but that’s what it’s all about.
沃伦·E·巴菲特 伯克希尔·哈撒韦 股东大会,1989 年。
Warren E. Buffett Berkshire Hathaway Annual Meeting, 1989.
期望值 期望值——药物 研发 情景 概率 价值(结果) 加权价值 突破性 10% 132.392 万美元 13.2392 万美元 高于平均 10 66.196 万美元 6.6196 万美元 平均 60 6.62 万美元 3.972 万美元 低于平均 10 7440 美元 744 美元 失败 10 6620 美元 662 美元
Expected Value Expected value—drug development Scenario Probability Value (outcome) Weighted Value Breakthrough 10% $1,323,920 $132,392 Above average 10 661,960 66,196 Average 60 66,200 39,720 Below average 10 7,440 744 Dog 10 6,620 662
100% Expected Value $239,714
100% Expected Value $239,714
来源:David Kellogg 和 John M. Charnes,“Real Options Valuation for a Biotechnology Company”,《金融分析师期刊》,2000 年 5/6 月刊,第 76-84 页。
Source: David Kellogg and John M. Charnes, “Real Options Valuation for a Biotechnology Company,” Financial Analysts Journal, May/June, 2000, 76-84.
Expected Value
Expected Value
风险与不确定性:风险——我们不知道最终结果,但我们清楚其背后的分布形态——它包含损失/伤害的可能性。
Risk versus uncertainty Risk – we don’t know outcome, but we know what the underlying distribution looks like incorporates the element of loss/harm
不确定性——我们既不知道结果会怎样,也不知道潜在分布的模样——未必包含损失/伤害。
Uncertainty – we don’t know the outcome, and we don’t know what the underlying distribution looks like need not incorporate loss/harm
来源:弗兰克·H·奈特,《风险、不确定性与利润》(波士顿:霍顿·米夫林出版公司,1921 年)。
Source: Frank H. Knight, Risk, Uncertainty, and Profit (Boston: Houghton and Mifflin, 1921).
我们如何看待概率?
How do we Think about Probabilities?
三种设定概率的方法
Three ways to set probability
1. 信念的程度 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——金融界很大程度上属于这一阵营
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.
我们如何看待概率问题?
How do we Think about Probabilities?
◆ 警惕非平稳性
Beware of nonstationarity
过往数据要具有参考价值,被平均的这些数据必须来自同一个总体。如果不是这样——如果数据来自不同总体——那么这些数据就被称为“非平稳数据”。当数据是非平稳的,用过去平均值来推算未来,通常得出的是荒谬的结果。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。
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. Bradford Cornell, The Equity Risk Premium (New York: John Wiley & Sons, 1999), 45-46.
估值倍数很可能具有非平稳性
Multiples are probably nonstationary
我们如何看待结果?
How do we Think about Outcomes?
标普 500 指数每日收益率频率分布,1977 年 12 月 29 日至 2005 年 3 月 3 日
Frequency Distribution of S&P 500 Daily Returns December 29, 1977 - March 3, 2005
250
250
200
200
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 |
|---|
| 150 |
| 100 |
| 50 |
| 0 |
| -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 |
| 标准差 |
Frequency 150 100 50 0 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 Standard Deviation
天数差异:理论与实践之间的每日收益率(1977 年 12 月 29 日 — 2005 年 3 月 3 日)
Frequency Difference: Normal versus Actual Daily Returns December 29, 1977 - March 3, 2005
100
100
80
80
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 |
|---|
| 60 |
| 40 |
| 20 |
| 0 |
| -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 |
| -20 |
| -40 |
| -60 |
| 标准差 |
Difference in Frequency 60 40 20 0 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 -20 -40 -60 Standard Deviation
Source: Factset.
Source: Factset.
我们如何看待结果?
How do we Think about Outcomes?
价值 价值 经营触发因素 因子 价值驱动因素
Value Value Operating Triggers Factors Value Drivers
销售额增长率(%)
Sales Volume Growth Rate (%)
价格与组合 营业利润率(%)
Price and Mix Operating Sales Profit Margin (%)
Operating Leverage
Operating Leverage
增量投资经济回报率(%)
Incremental Investment Economies Rate (%)
of Scale
of Scale
成本 运营效率 成本
Cost Operating Efficiencies Costs
投资效率
Investment Investments Efficiencies
我们如何看待结果?
How do we Think about Outcomes?
谷歌期权隐含分布
Google Options Implied Distribution
0.60
0.60
0.50
0.50
| 隐含概率 | |||||||
|---|---|---|---|---|---|---|---|
| 0.40 | |||||||
| 0.30 | |||||||
| 0.20 | |||||||
| 0.10 | |||||||
| — | |||||||
| 150 | 200 | 250 | 300 | 350 | 400 | 450 | 500 |
| 股票价格 |
Implied Probability 0.40 0.30 0.20 0.10 - 150 200 250 300 350 400 450 500 Stock Price
频率与幅度
Frequency versus Magnitude
◆ 频率(概率)和幅度(结果)都很重要——概率不错,期望值却很糟
Both frequency (probability) and magnitude (outcome) matter 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%
糟糕的概率,良好的期望值
Bad probability, good expected value
| 概率 | 结果 | 加权值 |
|---|---|---|
| 70% | -1% | -0.7% |
| 30% | +10% | +3.0% |
| 100% | 合计 | +2.3% |
Probability Outcome Weighted Value 70% -1 % -0.7% 30% +10 +3.0 100% +2.3%
频率与幅度
Frequency versus Magnitude
的确,我犯错次数完全可能比正确次数更多,只要判断正确时获得的杠杆效应足以弥补失误。至少迄今为止,我的投资结果正是如此。统计学家或许会诟病这种方法,但半个世纪以来,它在我身上始终奏效。
Indeed, I can be wrong more often than I am right, so long as the leverage on my correct judgments compensates for my mistakes. At least that is how my investments have worked out thus far. A statistician might deplore this approach, but it has worked for me for a half century.
莱昂·利维,《华尔街之心》(纽约:PublicAffairs,2002 年),第 197 页。
Leon Levy, The Mind of Wall Street (New York: PublicAffairs, 2002), 197.
.
.
时间的作用——损失厌恶
Role of Time—Loss Aversion
萨缪尔森的午餐赌局 抛一枚均匀硬币 猜对了你赢 200 美元 猜错了你输 100 美元
Samuelson’s lunch bet Flip a fair coin Correct call you win $200 Incorrect call you lose $100
萨缪尔森证明,如果你愿意玩 100 次,就应该玩 1 次。萨缪尔森的理论给人的感觉并不对。
Samuelson proved that if you are willing to play 100 times, you should play once Samuelson’s theory doesn’t feel right
参阅:保罗·A·萨缪尔森,《风险与不确定性:大数定律的一个谬误》,载于《科学》杂志,XCVIII 卷,1963 年,第 108-113 页。
See: Paul A. Samuelson, “Risk and Uncertainty: A Fallacy of Large Numbers,” Scientia, XCVIII, 1963, 108-113.
时间的角色——损失厌恶
Role of Time—Loss Aversion
短视损失厌恶 我们对损失的遗憾程度超过同等大小的收益。由于股票价格通常是参照基准,亏损或盈利的概率便显得至关重要。更长的持有期意味着获利概率更高。
Myopic Loss Aversion We regret losses more than similar-sized gains. Since the stock price is typically the frame of reference, the probability of loss or gain is important. A longer holding period means a higher probability of a gain.
我们越是频繁地评估自己的投资组合,就越容易看到亏损,从而遭受损失厌恶的折磨。
The more frequently we evaluate our portfolios, the more likely we are to see losses and hence suffer from loss aversion.
来源:Shlomo Benartzi 和 Richard H. Thaler 合著,“短视损失厌恶与股权溢价之谜”,《经济学季刊》,1995 年 2 月,79-92 页。
Source: Shlomo Benartzi and Richard H. Thaler, “Myopic Loss Aversion and The Equity Premium Puzzle,” The Quarterly Journal of Economics, February 1995, 79-92.
时间的角色——损失厌恶
Role of Time—Loss Aversion
因此,长期投资者愿意为高风险资产给出的估值,要高于短期投资者。
As a result, a long-term investor is willing to place a higher value on a risky asset than a short-term investor
估值取决于你的时间跨度
Valuation depends on your time horizon
Overconfidence
Overconfidence
◆ 我们一贯高估自己的能力、知识和技能 ◆ 我们倾向于设定过于狭窄的结果区间 ◆ 过度自信会导致过度交易
We consistently overrate our capabilities, knowledge, and skill We tend to project outcome ranges that are too narrow Overconfidence can lead to excessive trading
参见:Brad Barber 与 Terrance Odean,《交易有害你的财富:个人投资者的普通股投资表现》,《金融学刊》,第 55 卷,2000 年 4 月,第 773-806 页。
See: Brad Barber and Terrance Odean, “Trading is Hazardous to Your Wealth: The Common Stock Investment Performance of Individual Investors,” Journal of Finance, 55, April 2000, 773-806.
Heuristics
Heuristics
◆ 其他陷阱 ◆ 框架效应 ◆ 锚定与调整 ◆ 确认性陷阱
Other pitfalls Framing Anchoring and adjusting Confirmation trap
我们如何受益?
How Can We Benefit?
寻找多元化体系的崩溃
Look for diversity breakdowns
我们常常通过观察他人来做出决策。
We often make decisions by observing others
信息级联——某个人基于理性或任意做出的决定,触发许多人采取行动 羊群效应——当一大群投资者基于对他人的观察而做出相同的选择,无视自身认知时
Information cascades―a reasoned or arbitrary decision by one individual triggers action by many Herding―when a large group of investors make the same choice based on the observations of others, independent of their own knowledge
我们如何从中受益?
How Can We Benefit?
我们是如何失去多元化的?
How do we lose diversity?
Imitation
Imitation
所罗门·阿施实验
Solomon Asch experiment
X A B C
X A B C
插画来源:LMCM 基于 S. E. 阿什《群体压力对判断的改变与扭曲》一文制作,该文收录于哈罗德·格茨科夫主编的《群体、领导力与人类》一书(宾夕法尼亚州匹兹堡:卡内基出版社,1951 年)。
Illustration by LMCM based on S. E. Asch, “Effects of Group Pressure Upon the Modification and Distortion of Judgment,” in Harold Guetzkow, ed., Groups, Leadership and Men (Pittsburgh, PA: Carnegie Press, 1951).
我们能从中获得什么好处?
How Can We Benefit?
阿施始终在想:那些屈从于群体的人,是明知自己的答案错误却随大流,还是社会压力真的改变了他们的认知?
Asch always wondered: Did the people who gave in to the group do so knowing that their answers were wrong? Or did the social pressure actually change their perceptions?
这项新研究试图通过功能性磁共振成像扫描仪来寻找答案。
The new study tried to find an answer using fMRI scanners.
研究人员发现,社会从众行为在大脑中表现为完全用于感知的区域出现活跃。
The researchers found that social conformity showed up in the brain as activity in regions that are entirely devoted to perception.
但独立判断——即坚持自己的信念——所激活的大脑区域,却与情感相关。
But independence of judgment—standing up for one's beliefs— showed up as activity in brain areas involved in emotion.
“我们喜欢认为眼见为实,”领导这项研究的埃默里大学精神病学家和神经科学家格雷戈里·伯恩斯博士说。
"We like to think that seeing is believing," said Dr. Gregory Berns, a psychiatrist and neuroscientist at Emory University who led the study.
但研究结果却表明,眼见为实,不过是相信群体让你相信的东西罢了。
But the study's findings show that seeing is believing what the group tells you to believe.
来源:桑德拉·布莱克斯利,《他人之言可能改变你所见》,《纽约时报》,2005 年 6 月 28 日。
Source: Sandra Blakeslee, “What Other People Say May Change What You See,” The New York Times, June 28, 2005.
Takeaways
Takeaways
◆ 投资是一项概率性活动 ◆ 预期价值是思考股票的正确方式 ◆ 在客观评估概率和结果时存在许多陷阱 ◆ 我们需要练习心智纪律,否则长期来看会输给那些坚持这种纪律的人 ◆ 市场会周期性走向极端
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