Table of Contents

The handbook of equity market anomalies

1 Basics

  • Efficient Market Hypothesis

a weak form where the history of prices cannot be used to generate positive risk adjusted returns;

a semi strong form where public information cannot be used to outperform the market;

and a strong form where private information cannot be used to outperform the market.

The growth of the hedge fund industry has shown that the market is not strongly efficient while the continued existence of anomalies described in this book and the many billions of dollars managed in the quant investment processes show that public information can be used to outperform the market and the success of statistical arbitrage proves that even historical price and volume patterns can generate positivealphas.

  • There are essentially two steps in identifying anomalies.

The first step is identifying a mispricing signal.

The second step is evaluating the economic significance and statistical reliability of the mispricing signal.

  • alpha metric

The magnitude of the average risk-adjusted return, or alpha, on a portfolio that is long on stocks in one extreme decile, and short stocks in the other extreme decile, is a measure of the economic significance of the mispricing signal.

2 Structure of the book

2.1 chapter 1 financial theory

Professor Khan clearly explains the financial theory required to understand the concept of a “nonzero risk-adjusted return".

2.2 chapter 2 accural anomalies

Explaining the concept of accruals.

2.3 chapter 3 analyst-related anomalies

Performance of broker recommendations and reviews the research on the information anomalies related to estimate revisions and changes in analyst recommendations.

2.4 chapter 4 post-earnings announcement drift

This chapter includes a good overview of the history of the anomaly, an update of performance results, and a clear discussion of the possible causes of the anomaly.

2.5 chapter 5 non-accrual related fundamental anomalies

The chapter provides a concise overview of the anomalies related to financial ratios, investment growth, and distress risk, and discusses the Piotroski and Mohanram stock scoring systems that can be used by individual investors to outperform value or growth indexes.

2.6 chapter 6 net stock anomalies

Reviewing the research on stock buybacks, IPO, SEOs, and other stock purchase and stock issuance anomalies.

2.7 chapter 7 inside trading

Providing an optimistic view from a professional of the possibility of generating excess returns from insider information.

2.8 chapter 8 technical analysis

Providing a good overview of how technical trading evolved from a backwater to become a major theme of respected academic anomaly research.

2.9 chapter 9 seasonality

Providing an in-depth overview of the opportunities to earn returns using seasonal anomalies.

2.10 chapter 10 size and value anomalies

Concluding that value is a real anomaly but that size may not be an anomaly and discusses the basics of tactical asset allocation.

3 权责发生制The Accural Anomaly

Accruals are adjustments for

  • revenues that have been earned but are not yet recorded in the accounts.
  • expenses that have been incurred but are not yet recorded in the accounts. The accruals need to be added via adjusting entries so that the financial statements report these amounts.

\[ Accurals = Current Net Operating Assets(End of This Year) - Current Net Operating Assets(End of Previous Year)\]

\[Current Net Operating Assets = (Current Assets – Cash) – (Current Liabilities – Short Term Debt – Income Taxes Payable)\]

3.1 fundamental derivative variable:

3.1.1 Inventory

\(inventory = Difference between Changes in sales and changes in inventory\)

3.1.2 Gross Margin

measured as change in GM less change in sales.

3.1.3 S&A

measured as change in sales less change in S&A expenses.

3.1.4 Percent Accruals

  1. \(Earnings = Income from Continuing Operations / Average Total Assets\)
  2. \(Accrual Component = Accruals / Average Total Assets\)
  3. \(Cash Flow Component = (Income from Continuing Operations – Accruals) / Average Total Assets\)

\(1=2+3\)

\(2/1 = Percent Accruals\)

3.1.5 Piotroski F- score

  1. Profitability: i) ROA ii) CFO, iii) Change in ROA and iv) Accrual = ROA-CFO
  2. Financial Leverage: i) Change in Leverage (change in ratio of long term

debt to average total assets, ii) Change in Liquidity (difference between firm’s ratio of current assets to current liabilities and iii) Equity offering, set as 1 if the firm didn’t issue stock, and 0 otherwise.

  1. Operating Efficiency: i) Change in Gross Margin ii) Change in firm’s

current year asset turnover ratio

3.2 Basic Tests and Results

In order to systematically analyze earnings quality across a large set of firms, Sloan first had to standardize all the measuresto facilitate the comparison of firms with vastly different sizes. Sloan accomplished this by scaling earnings, accruals, and cash flows by total assets.

3.2.1 steps:

1.Compute earnings, accruals, and cash flows for a sample of firm-years from the COMPUSTAT database between 1970 and 2007.

2.Within each fiscal year, rank observations from lowest to highest based on earnings.

3.Assign firm-years into deciles based on the rank of earnings, with decile 1 consisting of the lowest-ranked 10% and decile 10 consisting of the highest-ranked 10%.

4.Compute the average level of earnings for firm-years in each decile.

5.Track the average level of earnings for the corresponding set of firm-years in the surrounding 10 years (5 years either side of the ranking year).

6.Construct a plot of average earnings over the 11 years for the highest and lowest deciles.

4 分析师预测和盈利预测

  • role of research analysts

Accumulating information allows an individual to make a better decision and potentially trade a certain asset at a more favorable price. Therefore, investors spend considerable amounts of money tobuy analysis from information intermediaries such as security analysts.

  • [ ] Recommendation revisions are more valuable than recommendation levels.
  • [X] Transaction costs significantly reduce the investment value of recommendations.
  • [X] The investment value of recommendations is concentrated primarily on small stocks.
  • [X] Taking into account fundamental characteristics of the covered firms that are able to predictfuture stock returns can enhance the profitability of recommendations.
  • [X] There are cross-sectional differences in analyst ability to find mispriced stocks.

4.1 分析师预测

半强式有效市场假说认为价格已充分反应出所有已公开的有关公司营运前景的信息。这些信息有成交价、成交量、盈利资料、盈利预测值,公司管理状况及其它公开披露的财务信息等。假如投资者能迅速获得这些信息,股价应迅速作出反应。

信息在市场里面起着关键的作用,信息搜集可以对投资者对资产估值做出更好的决策作用,因此社会倾注了大量的资源(包括人力和物力)在证券分析上面。但是也许正是因为股票上有这么多的分析师分析研究,根据半强式有效市场假说,这些分析报告能否产生的价值是一个疑问。

已经有研究指出,分析师推荐调整已经反映了企业的各种行为了,所以股价已经priced in,对于大部分股票平均来说分析师预测已经不再推动股价波动,但是在一小部分股价没有反映出分析师预测的股票上,可以产生积极作用,因此我们可以根据这一现象去寻找那些未反映分析师预测的股票。

ratio of fundamental value is not positively associated with the optimism of analysyst recommendations. 有可能是因为分析师并只用了简单的估值模型,所以导致推荐的内容并不准确,因此可以通过residual-income model来做一个估值策略。

还有可能是因为分析师的观点并不中立,带有自己利益的偏见,那么有些推荐的股票并不一定能符合分析师预测。

因此,可以设置选股策略1:筛选没有立即反映分析师预测的股票;选股策略2:找出通过自己模型定价出与分析师识推荐的股票价格有差异的股票。

交易策略:每个季度初,把每只股票的分析师推荐平均以后排序,买入10%最乐观的股票,卖出10%最悲观的股票,每季节做一次rebalance.

4.2 盈利预测修正 Earnings Forecast Revisions

Recommendation revisions are more valuable than recommendation levels.

Ball and Philip found that stocks with the largest variance in earnings also had the largest variance in stock price. Additionally, they found that stocks tended to move as long as three months in the direction of the earnings surprise.

4.2.1 strategy:

  1. Buy (sell) stocks with more than X percent up (down) revision.
  2. Buy stocks that move forecast towards the consensus.
  3. Buy (sell) stocks in the top 5% of revisions.
  4. Buy (sell) stocks with upward (downward) revisions with low analyst coverage.

4.3 The influence of firm characteristics

分析师预测因子跟其它基本面因子结合,例如和高价格动量,高EP ratio,高BP ratio,低应收帐款,低成长,低资本支出几个因子结合,能提升策略表现效果。

4.4 The influence of analyst and brokerage house characteristics

跟踪能够持续预测的分析师的强烈买入信号的策略表现可能会比较好。

4.5 Determinants of Recommendations

recommendations are more associated with less favorable value-to-price ratio companies.

5 盈余惯性 post-earnings announcement drift

是一种在财务公布后的数周甚至数月内,仍然向超额回报方向连续获取超额收益的趋势。

  • [ ] institutional history of post-earnings announcement drift.
  • [ ] how to measure an earnings surprise, how the measurement of an earnings surprise affects post-earnings announcement drift, and how managers might manipulate an earnings surprise.

5.1 theories as to why post-earnings announcement drift exists.

5.1.1 rational explanations based on latent risks

asset pricing theory: stocks that earn higher (lower) expected returns than the market must be higher (lower) risk.

5.1.2 behavioral explanations based on investor tradingbehavior

5.2 how investors can refine post-earnings announcement drift using other publicly available information.

6 公司财务数据

6.1 Capital Investment and Growth Anomalies

6.2 基础科目与衍生

6.2.1 主要会计数据

6.2.2 现金流量表

6.2.3 资产负债表

6.2.4 利润表

7 净股异常

stock prices of firms following corporate events tend to drift in predictable manners, for a period of up to five years.

7.1 首次公开募股(Initial Public Offerings)

IPO firms underperform the industry- and size-matched firms by 27.4%. Ritter (1991) concludes that the IPO issuing firms underperform their peer firms in both the buy-and-hold and the monthly rebalancing strategies. Ritter conjectures that this mispricing may be due to firms going public when investors are too optimistic about their prospects.

7.2 股权再融资(Seasoned Equity Offerings)

research has shown that firms that issued equity through an SEO, experience negative stock returns in the years following the equity issues.

market-timing: managers exploit their information advantage relative to outsiders to time their SEOs at opportune times when their stock is most likely to be overvalued.

7.3 债务发行(Debt Issuances)

straight debt issuances are associated with an average abnormal negative stock return of 14.3% for a period of 5 years, the evidence suggests that abnormal stock returns for the straight debt call sample is between 0.18% and 0.34% per month, depending on the benchmark used for a period of 5 years following the debt call event. As for convertible debt, the authors find mixed evidence following the calls of convertible debt.

7.4 股权回购和要约收购(Share Repurchases and Tender Offers)

7.5 股票股利初次发放与停发(Dividend Initiation and Omissions)

7.6 非公开发行股票, 定向增发(Private Equity Placement)

7.7 净外部融资(Overall Net External Financing)

7.8 企业兼并与收购(Mergers and Acquisitions)

8 内幕交易(The Insider Trading Anomaly)

The large shareholders who hold more than 10% of a stock's outstanding shares, all members of the board of directors, the CEO, CFO, and other highest-level officers are considered insiders. Attorneys, underwriters, and consultants to these highest-level officers and directors are also considered insiders.

8.1 Documentation of the Anomaly

9 动量,技术分析(Momentum: The Technical Analysis)

  • two interesting patterns in stock returns tend to surface from the data over time: short-term to medium-term momentum, and long-term reversals.
  • short-term and medium-term momentum generate average returns of about 1% per month, to arrive at this return estimate, researchers use past return data to simply sort stocks into deciles based on their recent return performance (typically measured over the prior 6 months) and then assess the relative performance of these decile portfolios over a subsequent holding period, ranging anywhere from one to twelve months.

In summary, most past studies reveal that the top decile portfolio (the set of stocks that were the best performers over therecent past) tend to continue to outperform,

and the bottom decile (the set of stocks that were the worst performers over the recent past) continue to be losers.

  • long-term reversals also tend to generate statistically positive returns.

To assess the profitability of trading strategies based on long-term reversals, researchers again sort stocks into deciles based on their past return performance (typically measured over a longer period, such as the past 3 years),

and then assess the relative performance of these decile portfolios over a longer-term holding period, ranging anywhere from 3 to 5 years.

Contrary to the short-term momentum findings, these past studies document that the bottom decile portfolio (the set of stocks that were the worst past performers) tend to reverse this past poor performance and become winners, and the top decile (the set of stocks that were the best past performers) tend to reverse and become losers.

In summary, DeBondt and Thaler conclude that the difference in returns for these two portfolios was due to overreaction in security prices as the extreme losers become too cheap and bounce back, whereas the extreme winners become too expensive and earn lower subsequent returns.

rejecting the weak efficient market hypothesis Using annual data from 1871 to 1985 and monthly return data from 1926 to 1985, the authors utilize variance ratio tests and reject the hypothesis that stock prices follow a random walk, which, of course, implies stock price predictability. Specifically, the authors find evidence that stock prices tend to exhibit positive autocorrelation (or momentum) over shorter periods (less than one year) and negative autocorrelation (or reversals) over longer horizons.

strategy: J/K, evaluate stocks return in J periods, buy and hold for K periods.

9.1 Reasons of individual investors failure

Individual investors have been found to hold losers too long and sell winners too soon—called the disposition effect处置效应 (Shefrin and Statman 1985; Barber and Odean 2000; Grinblatt and Keloharju 2001), and only sell stocks that have experienced recent positive returns (Griffin, Harris, and Topaloglu 2003). Because the pain from the loss is more effective than the joy from the winning, it's hard for them to acknoledge the loss so that the loss trades are held longer than the winning trade.

The implication of such behavior is that individual investors are likely to be considered more as contrarian(逆势) investors and less as momentum-based investors.

9.2 移动平均 Moving Averages

9.3 52周新高新低 52-Week High/Low

9.4 行业动量 Momentum at Industry Levels

9.5 公募基金动量 Momentum and Mutual Funds

9.6 Explanations for momentum and reversals

These explanations typically fall into one of two categories: risk-based and investor behavior-based arguments.

The risk-based argument is based on the idea that high-risk investments should earn higher returns. Thus, it could be the case that momentum returns are merely compensation to investors for the inherent high risk of momentum portfolios or compensation for some unique risk associated with momentum investing.

However, as some of the aforementioned research has shown, it appears that momentum returns remain significant even after controlling for risk.

3-factor risk model fully explains the long-term reversals. after controlling for risk, returns from long-term reversal strategies become insignificant but momentum strategies remain profitable on a risk-adjusted basis.

so the reversal strategies can't fully explained by the risk theory.

  • explanation of negative autocorrelation reversal and autocorrelation momentum.

Hong and Stein (1999) present a model of investor behavior based on the existence of two types of rational agents: “newswatchers” and “momentum traders.” In their model, newswatchers trade on fundamental information whereas momentum traders make trades based on past price movements. New, fundamental information diffuses gradually across the newswatchers and this causes prices to underreact and display positive autocorrelation (momentum). The momentum in prices incentivizes the momentum traders to enter the market; their simple trading strategies based on past prices eventually drive prices above fundamental value, leading prices to overreact and display negative autocorrelations over longer horizons (reversals) as prices move back to fundamental value.

Momentum returns can mostly be explained by changes in the business cycle.

10 季节性(Seasonality)

10.1 A股

10.1.1 五穷六绝七翻身

如果股票在六月反弹,七月可能有行情延续。

10.1.2 春季行情 January Effect

胜率八成,历史平均涨幅逾7%。

“春季行情”的概念在本研究中得到证实,而“秋季行情”表现不稳定。过去10年上证指数在2、3、4、7、10月表现较好,而1、6、8月表现不佳。过去20年若从春节持有上证指数组合到4月上旬,则年均涨7.35%,中位数7.97%,胜率为80%(20年中有16年上涨)。春季行情的形成,或与春节后资金回流、长假后市场活跃度恢复、两会及其他重要会议召开等季节性出现的因素有关联。

10.1.3 资金面效应

把握季末与春节的V形走势。

春节假期、6月末、9月末、12月末等关键时点前资金面较为紧张,股票市场会出现换手率下降、股指走弱等情况;资金面冲击过后,市场交投重新活跃,股指强势修复,完成V形走势。由于资金期限的原因,V形底相对关键时点有几天提前量,使得季末时点成为较好的建仓时间。

10.1.4 假期效应 Holiday Effects

长假V形走势,短假影响有限。

在十一长假、春节长假、2008年以前的五一长假,股市大概率出现底部提前的V形走势。十一、春节还有资金面效应的驱动,因而股指波动也较大。值得注意的是,端午、清明、2008年后五一等短假期没有相同规律。

10.1.5 会议效应

呈现倒V走势,两会后趋于上行。

无论每年定期出现的重要会议(包括两会、中央经济工作会议、党的全国代表大会/中央委员会全体会议等)对股市的影响亦有规律可循,表现为会议开幕前市场大概率上涨,而会议开幕后不久即回落,形成倒V形。其中两会影响的特别之处在于:股指虽然在会议期间略有下跌,在闭幕后却还有一波上涨行情。

10.2 美股

10.2.1 January Effect

10.2.2 Holiday Effects

10.2.3 January Small Cap Effect in the Futures Markets

10.2.4 一月晴雨表(The January Barometer)

10.2.5 Sell-in-May-and-Go-Away

10.2.6 Same Month Next Year

10.2.7 The Sell on Rosh Hashanah

10.2.8 Ramadan

斋月

10.2.9 Day-of-the-Week Effects

10.2.10 Seasonality Calendars

10.2.11 Political Effects

10.2.12 Election Cycles

10.2.13 Turn-of-the-Month Effects

10.2.14 Open/Close Daily Trade on the Open

10.2.15 Weather: Sun, Rain, Snow, Moon, and the Stars

11 规模和价值

11.1 Fama-French Three-Factor Model

11.2 Alternative Value Indicators

11.2.1 price-to-earnings ratio (P/E)

11.2.2 E/P ratio

11.3 Time Variation in the Value Premium

11.4 Cross-Sectional Variation in the Value Premium

11.5 Anatomy of the Size Anomaly