Reading 87
MODULE 87.1: COGNITIVE ERRORS VS. EMOTIONAL BIASES
Traditional finance assumes individuals are perfectly rational and process all relevant information objectively, producing efficient markets. Research by Kahneman and Tversky (1970s onward) showed instead that human decision-making contains systematic biases that lead to predictably irrational decisions. Better understanding of these biases by clients and professionals should, over time, push prices and returns closer to what traditional theory expects.
傳統財務理論假設投資人完全理性、客觀運用所有資訊,從而形成效率市場。Kahneman 與 Tversky 自 1970 年代起的研究指出,人類決策存在系統性偏誤,導致可預測的非理性結果。當投資人與專業人士能更深入理解這些偏誤時,市場價格與報酬將更接近傳統理論所預期的效率水準。
Compare and contrast cognitive errors and emotional biases.
Behavioral finance argues that certain biases are widespread and predictable, not random.
- Cognitive errors — driven by faulty reasoning: failure to apply statistical analysis, information-processing mistakes, illogical reasoning, or memory errors. Can be reduced through awareness, training, and more information.
- Emotional biases — driven by feelings, impulses, or intuition rather than conscious thought. Difficult to overcome and often must be accommodated rather than corrected.
行為財務主張某些偏誤是普遍且可預測的,並非隨機誤差。
- 認知錯誤:源於推理失誤——未能正確使用統計分析、資訊處理錯誤、邏輯不通、記憶偏誤等。可透過提升意識、訓練、補充資訊加以減輕。
- 情緒偏誤:源於感受、衝動或直覺,非經過理性思考。難以克服,常需「遷就」而非矯正。
教授提醒:某些偏誤同時帶有認知與情緒成分;要降低混合型偏誤,應從認知層面著手,因為提供資訊與訓練最容易產生效果。
Discuss commonly recognized behavioral biases and their implications for financial decision making.
Cognitive errors fall into two groups:
- Belief perseverance — irrational reluctance to change prior conclusions.
- Processing errors — flawed analysis of new information.
Cognitive dissonance is the stress felt when a current belief conflicts with new information. Individuals reduce dissonance by either updating their belief or (more commonly) discounting the new information — producing bias in favor of currently held beliefs.
認知錯誤分為兩類:
- 信念固著:不願修正先前的結論。
- 資訊處理錯誤:新資訊的分析方式有缺陷。
認知失調是當新資訊衝擊既有信念時感受到的壓力。人們紓解失調的方式不是更新信念,就是質疑、淡化新資訊;後者較容易,因此自然偏向維護既有信念。
Cognitive Errors — Belief Perseverance
1. Conservatism bias — investors form an initial view rationally but then fail to update it as new information arrives. Prior probabilities are overweighted; new data is under-incorporated, especially when it is complex.
Implication: investors hold positions too long; they avoid the mental effort of revising forecasts.
2. Confirmation bias — selectively seeking information that supports prior beliefs and avoiding/diminishing conflicting evidence. New car buyers read positive reviews and skip recall stories. May lead to:
- Considering positive but ignoring negative information
- Designing decision processes that confirm a preferred conclusion
- Overconfidence in present beliefs
Mitigation: deliberately seek out contrary views and analyses.
3. Representativeness bias — using surface characteristics to classify an investment, then assuming it shares the rest of the category's traits. Two sub-forms:
- Base-rate neglect — ignoring the base rate of a characteristic in the population (e.g., judging a "shy man" as a librarian, ignoring that male salespeople vastly outnumber male librarians).
- Sample-size neglect — drawing strong conclusions from small samples (e.g., treating a 3-year hot streak as proof of skill).
- Suffering base-rate / sample-size neglect → focuses on short-term disappointment, recommends sell.
- Over-relying on the growth classification → assumes reversion to growth, recommends buy.
4. Illusion of control bias — believing you can influence outcomes you cannot. Often paired with illusion of knowledge, self-attribution, and overconfidence. Investors may overweight stocks of their employer or familiar companies, producing under-diversified portfolios.
5. Hindsight bias — selective memory: remembering correct predictions, forgetting wrong ones, and treating past events as having been more predictable than they were ("I-knew-it-all-along"). Symptoms:
- Distorting earlier predictions when looking back
- Viewing past events as inevitable
- Believing past outcomes were foreseeable
Implication: overconfidence in forecasting ability; abandoning sound techniques that happened to underperform in favor of weak ones that worked by chance.
1. 保守偏誤(Conservatism):最初理性形成判斷,但收到新資訊後反應緩慢、調整不足,特別是當資訊複雜時。範例中 Molinari 用 20% 無條件衰退機率配置資產,央行升息(提升條件機率)卻不調整即為典型。後果:抱持部位過久,懶於更新預測。
2. 確認偏誤(Confirmation):只看支持既有信念的資訊,忽視或扭曲反證。可能造成:只看好消息、設計只支持結論的決策流程、過度自信。對策:刻意閱讀反方觀點。
3. 代表性偏誤(Representativeness):用表面特徵把投資歸類,再假設它具備該類別其他特徵。兩種型態:
- 基率忽略:忽略總體比例(「害羞男子」案例)。
- 樣本大小忽略:用小樣本下結論(三年績效當作技術證據)。
XYZ 案例:過度看短期下滑=樣本忽略;過度沿用成長股標籤=過度依賴分類。兩者都過度依賴少數線索。
4. 控制錯覺(Illusion of Control):誤以為自己能影響無法控制的結果,常與「知識錯覺」「自我歸因」「過度自信」一同出現。投資上會超配自家公司股票,導致分散不足。
5. 後見之明偏誤(Hindsight):記得對的、忘掉錯的,把過去視為「早就知道」。後果:高估自己的預測能力;放棄正確但短期失利的方法,轉用碰巧成功的差方法。
Cognitive Errors — Information Processing
6. Anchoring and adjustment — basing expectations on a prior reference number and adjusting insufficiently from it. Examples: valuing a security relative to its current price; estimating EPS relative to a previous figure. New data should be assessed objectively, not as deviations from an anchor.
7. Mental accounting — treating money differently depending on which "account" or source it came from, instead of applying a portfolio view. Examples: investing a bonus in a speculative biotech because it is "found money"; segregating an inheritance into low-risk bonds out of sentiment. A common form is treating income differently from capital appreciation, leading to suboptimal income/growth mixes.
8. Framing bias — how a question is presented changes the answer. Tversky & Kahneman's 600-lives example:
Result: majority chose A — risk averse when outcomes are framed as gains.
Result: majority now chose B — risk seeking when framed as losses. This is the classic loss-aversion result: losses hurt more than equivalent gains feel good.
Investment implication: over-emphasizing short-term volatility (a "loss" frame) produces overly conservative portfolios. Risk-tolerance questionnaires must be carefully worded.
9. Availability bias — judging probability by how easily examples come to mind. Recent and vivid events feel more likely; distant or unmemorable ones feel less likely.
Implications: selecting investments by name recognition or recent advertising; limiting the universe to familiar firms (poor diversification); over-reacting to recent or media-heavy events.
6. 錨定與調整:以先前數字(現價、上期 EPS、舊預測)為錨,調整不足。新資訊應獨立、客觀評估,不應只是「相對於錨點」的微調。
7. 心理帳戶:依資金來源不同對待同一筆錢,違反整體投資組合觀。例:把獎金當「外快」拿去買生技股;把遺產分到低風險債券「不忍動用」。常見形式是把「收益」和「資本利得」當作不同帳戶,導致配置不符投資人實際需求。
教授提醒:Camerer (1997) 紐約計程車司機案例——晴天(生意差)反而工作更久,雨天達到日標收入後就收車。每天是獨立心理帳戶+每日收入目標(也是錨定)。理性的策略應該相反:雨天多開、晴天早收。
8. 框架偏誤:問題的呈現方式改變答案。600 人疾病例題:
- 「獲得」框架:多數人選確定救 200(規避風險)。
- 「損失」框架:多數人選賭一把(追求風險,避免確定的損失)。
核心是損失趨避:人們對損失的痛苦遠大於同額獲利的快樂。投資上:過度關注短期波動會造成保守過頭;風險忍受度問卷的措辭必須謹慎。
9. 可得性偏誤:以「容易想到」判斷機率。近期、生動的事件被高估;遙遠、平淡的被低估。字母 "r" 案例:第三位 "r" 的英文字其實約是首位 "r" 的 3 倍,但難以即時想到。後果:以名氣或廣告選基金;只投熟悉公司、分散不足;過度反映近期或媒體熱議事件。
MODULE 87.2: EMOTIONAL BIASES
Six biases generally arise from emotion rather than reasoning:
教授提醒:部分名詞在兩類都出現過。判斷原則:若觀點源自當事人無法或不願改變的潛意識情緒=情緒偏誤;若用清晰思考或補充資訊就能改變=認知錯誤。
以下六種偏誤主要源於情緒而非理性思考:
Six Emotional Biases
1. Loss-aversion bias — the pain of a loss is felt more strongly than the pleasure of an equivalent gain (Kahneman & Tversky 1979). Faced with gains, people prefer certainty; faced with losses, people accept risk to avoid them.
Both scenarios produce identical outcome distributions ($15 sure vs. $10/$20 coin flip). The flip in preference is driven by the reference point.
Implications: selling winners too early ("disposition effect") and holding losers; taking excessive risk to recover; framing-dependent treatment of the same position as a "win" or a "loss".
2. Overconfidence bias — overestimating one's own ability or reasoning. Two flavors:
- Prediction overconfidence — underestimating uncertainty / standard deviation of forecasts.
- Certainty overconfidence — overstating the probability of being right.
Reinforced by self-attribution: credit successes to oneself (self-enhancing), blame failures on circumstances (self-protecting). Although partly cognitive, it is treated as emotional because it is driven by the desire to feel good and is hard to correct. Implications: underestimating risk, overestimating return, insufficient diversification.
3. Self-control bias — favoring short-term satisfaction over long-term goals (a.k.a. hyperbolic discounting). Implications: insufficient retirement savings; later forced to take excess risk to catch up; over-allocation to income-producing assets to fund near-term consumption. Mitigation: set an investment plan and savings budget, review regularly.
4. Status quo bias — sticking with current allocations because change is uncomfortable. Studies show automatic enrollment (with opt-out) sharply raises retirement-plan participation vs. opt-in (Thaler & Sunstein 2008, Nudge). Implications: portfolios drift away from appropriate risk; better alternatives are ignored.
5. Endowment bias — valuing an asset more once you own it. Common with inherited holdings. Diagnostic question: "Would you buy this with new money today?" Studies show minimum-sale prices (e.g., $25) systematically exceed maximum-purchase prices (e.g., $23) for the very same asset. Implications: failure to sell positions that no longer fit; comfort-driven concentration in familiar names.
6. Regret-aversion bias — doing nothing because action might be wrong. People weigh errors of commission (acting and being wrong) more heavily than errors of omission (failing to act when the action would have been right). Herding is a form of regret aversion — going with the crowd reduces personal blame. Implications: excessive portfolio conservatism, since risky assets sometimes underperform and the regret is sharp.
1. 損失趨避(Kahneman & Tversky 1979):面對「獲得」框架時偏好確定(持 $15 不賭),面對「損失」框架時反而追求風險(賭一把以免確定虧損)。同樣的最終分配,僅因參考點不同就改變偏好。教授提醒:風險趨避 ≠ 損失趨避——風險趨避者在報酬相同下挑風險低的;損失趨避者損失帶來的痛苦大於同額利得,會為避免損失而主動承擔風險。後果:太早賣掉小賺的、抱住虧損的(處置效應),為追回本金加碼風險。
2. 過度自信:高估自己的判斷能力。預測過度自信=低估不確定性/預測標準差;確定性過度自信=高估自己會對的機率。常與自我歸因結合(成功歸己、失敗歸環境)。雖兼具認知與情緒,因難矯正且根源於「感覺良好」的需求,分類為情緒。後果:低估風險、高估報酬、分散不足。
3. 自我控制偏誤:寧取近期小利、忽視長期目標(雙曲折現)。後果:退休儲蓄不足→事後被迫承擔過高風險、過度配置生息資產。對策:訂定資產配置計畫與儲蓄預算並定期檢視。
4. 現狀偏誤:因不喜變動而維持原配置。研究顯示退休計畫採「自動加入+可退出」的參與率遠高於「主動加入」(Thaler & Sunstein 2008《Nudge》)。後果:組合風險不再合適、忽略更佳替代方案。
5. 稟賦偏誤:擁有後就高估資產價值,常見於繼承資產。診斷問題:「今天用新的錢還會買嗎?」實驗顯示同一資產的最低售價($25)系統性高於最高買價($23)。後果:不適合的部位也不肯賣、偏好熟悉資產造成集中。
6. 後悔趨避:因怕做錯而不行動,把「做錯」的懊悔(commission)看得遠比「該做沒做」(omission)重。從眾是後悔趨避的延伸——隨大眾走,錯了不只是我一個人錯。後果:組合過度保守,因為冒險資產有時下跌時懊悔感太強。
Describe how behavioral biases of investors can lead to market characteristics that may not be explained by traditional finance.
Many "anomalies" once cited as evidence of inefficiency have been re-explained by small samples, time-period bias, or risk-model misspecification. Behavioral finance offers complementary explanations.
Bubbles and crashes. Behavioral finance does not provide a full explanation, but several biases are visible during bubble episodes:
- Overconfidence → overtrading, underestimation of risk, lack of diversification.
- Self-attribution + hindsight → persistently good outcomes feed further overconfidence (investors give themselves credit for choosing winners in a bull market).
- Confirmation → ignoring or reframing warning signs; treating early declines as buying opportunities.
- Anchoring → believing recent highs are "fair" prices even after the decline starts.
- Regret aversion → even skeptics stay invested, fearing the regret of missing further upside.
Note: arbitraging a bubble is hard — short-selling is restricted and risky in a rising market, and leaving the market too early can be just as career-damaging as staying too long.
Value vs. growth anomaly. Value stocks (low P/B, low P/E, high dividend yield) have historically outperformed growth stocks. Fama & French (1992) showed that adding firm-size and book-to-market risk factors largely eliminates the anomaly — i.e., value-stock returns can be interpreted as compensation for additional risk. A behavioral counter-explanation is the halo effect: a version of representativeness in which a company's good qualities (fast growth, rising price) get extended into "this is a good stock", overvaluing growth stocks.
Home bias. Investors over-allocate to domestic firms (or to firms in their region of a country) versus what global diversification would suggest. Drivers: belief in better local information access, or simply emotional preference for "closer-to-home" companies. A related effect: investors may underestimate risk or overestimate return for firms whose products or marketing they are heavily exposed to.
許多曾被當作市場無效率證據的異象,後來能用小樣本、時段偏誤或風險模型設定不當解釋;行為財務則提供補充性解釋。
泡沫與崩盤:行為財務未能完全解釋,但常見以下偏誤:
- 過度自信→過度交易、低估風險、分散不足。
- 自我歸因+後見之明→多頭中獲利累積,自信滾雪球。
- 確認偏誤→忽視或重新詮釋警訊;把初跌當買點。
- 錨定→把近期高點當合理價,即使已開始下跌仍據此判斷。
- 後悔趨避→怕錯過後續漲幅,懷疑者也不出場。
套利泡沫不易:放空在快速上漲的市場代價高、限制多;提早離開或抱太久對基金經理的職業生涯都很傷。
價值 vs. 成長異象:價值股(低 P/B、低 P/E、高股息率)長期跑贏成長股。Fama & French (1992) 加入規模與帳面市值比因子後,異象大致消失,亦即超額報酬可視為對額外風險的補償。行為解釋為光環效應(halo effect)——代表性偏誤的變體,把公司「好特質」延伸成「好股票」,導致成長股被高估。
本土偏誤(home bias):投資人對本國/本地公司配置過重,與全球分散原則相違。原因可能是認為自己對本地公司資訊優勢,或單純情感上的「親近感」。類似效應:對自己常用其產品或常見其廣告的公司,常低估風險或高估未來報酬。
- A. The investor has difficulty interpreting complex new information.
- B. The investor only partially adjusts forecasts when he receives new information.
- C. The investor has a tendency to value the same assets higher if he owns them than if he does not own them.
- A. Regularly basing decisions on only a subset of available information.
- B. Reacting spontaneously to a negative earnings announcement by quickly selling a stock.
- C. Remaining invested in a profitable technology stock even though new information indicates its P/E ratio is too high.
- A. A client is the CEO of a public company she founded and insists she will not diversify her holding of the company stock.
- B. The spouse of a now-deceased company founder becomes upset when it is recommended the portfolio holdings in that company need to be diversified.
- C. A client who initially resists recommendations to diversify the portfolio later thanks the manager for explaining the benefits of diversification.
- A. framing bias.
- B. mental accounting.
- C. overconfidence bias.
- A. Representativeness.
- B. Status quo bias.
- C. Availability bias.
- A. from their own country or region.
- B. with which the investors are most familiar.
- C. that have experienced rapid growth and price appreciation.
Cognitive errors stem from faulty reasoning or incomplete information; they can be reduced through awareness, training, and better information. Emotional biases stem from feelings and intuition; they are spontaneous, hard to correct, and often must be accommodated. Mixed biases are best addressed via the cognitive side.
- Conservatism — fail to update views with new info.
- Confirmation — seek supporting info, ignore conflicting.
- Representativeness — base-rate & sample-size neglect.
- Illusion of control — overweight what you "control".
- Hindsight — selective memory, "knew it all along".
- Anchoring & adjustment — over-weight a reference number.
- Mental accounting — money treated differently by source.
- Framing — wording changes the answer; risk-averse for gains, risk-seeking for losses.
- Availability — easy-to-recall events feel more probable.
- Loss-aversion — losses hurt more than gains feel good.
- Overconfidence — overestimate own ability; reinforced by self-attribution.
- Self-control — short-term satisfaction over long-term goals.
- Status quo — comfort with the current allocation.
- Endowment — owned assets feel more valuable.
- Regret-aversion — fear of acting wrong; can express as herding.
Many anomalies trace to risk-model misspecification rather than inefficiency. Behavioral finance has not fully explained bubbles, but during them we often see overconfidence, self-attribution, hindsight, confirmation, anchoring, and regret aversion. Halo effect (representativeness) helps explain growth-stock overvaluation. Home bias reflects familiarity-based emotional preference.
【LOS 87.a】認知錯誤源於推理失誤或資訊不全,可透過意識、訓練、補充資訊改善;情緒偏誤源於感受與直覺,自發且難矯正,常需遷就。混合型偏誤從認知層面切入較有效。
【LOS 87.b 認知—信念固著】保守、確認、代表性(基率/樣本忽略)、控制錯覺、後見之明。
【LOS 87.b 認知—資訊處理】錨定與調整、心理帳戶、框架(獲得→風險趨避;損失→追求風險)、可得性。
【LOS 87.b 情緒】損失趨避、過度自信(+自我歸因)、自我控制不足、現狀偏誤、稟賦偏誤、後悔趨避(含從眾)。
【LOS 87.c】許多異象其實來自風險模型設定不當,而非市場無效率。行為財務未能完全解釋泡沫,但泡沫期間常見過度自信、自我歸因、後見之明、確認、錨定、後悔趨避等偏誤。光環效應(代表性的變體)解釋成長股高估;本土偏誤反映熟悉感造成的情感偏好。