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    BM410 Investments

    The Efficient MarketHypothesis

    orIs there really a free lunch?

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    Objectives

    R. Review Portfolio Theory up to today

    A. Understand the efficient market

    hypothesis and why securities pricesshould be essentially unpredictable

    B. Be able to formulate investment

    strategies that make sense in

    informationally efficient markets.

    C. Understand the tests of market

    efficiency and cite evidence that supports

    and contradicts the EMH

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    Review of Financial Theory

    What we have discussed

    A two asset portfoliowith leverage

    Modern Portfolio Theory

    The development of the efficient frontier

    The efficient frontier with CALs

    CAPM, and its movement toward Beta

    APT

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    E(r)

    E(rp) = 15%

    rf= 7%

    = 22%0

    P

    F

    P

    ) S = 8/22

    E(rp)- rf= 8%

    CAL:

    (Capital

    Allocation

    Line)

    Two Assets and the CAL

    Slope: Reward to variability ratio: ratioof risk premium to std. dev.

    Risk premium

    This graph is the risk return combination available by choosing different valuesof y. Note we have E(r) and variance on the axis.

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    r = 0

    E(r)

    r = 1r = -1

    r = -1

    r = .3

    13%

    8%

    12% 20%St. Dev

    TWO SECURITY PORTFOLIOS WITHDIFFERENT CORRELATIONS

    MPT: The Impact of Correlation

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    E(r)

    The minimum-variance frontier of risky

    assets

    Efficientfrontier

    Globalminimum

    variance

    portfolio Minimum

    variancefrontier

    Individual

    assets

    St. Dev.

    The Efficient Frontier

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    E(r)

    CAL (Globalminimum variance)

    CAL (A)CAL (P)

    M

    P

    A

    F

    P P&F A&FM

    A

    G

    P

    M

    s

    The Efficient Frontier with CALs

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    E(r)

    E(rM)

    rf

    SML

    M

    = 1.0

    CAPM and The Security Market Line

    Notice that instead of using standarddeviation, the SML uses Beta

    SML Relationships

    b = [COV(ri,rm)] / sm2

    Slope SML = E(rm)rf = market risk

    premium

    SML = rf + b[E(rm) - rf]

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    CAPM: Expected Return

    Beta Relationship

    Expected return - beta relationship

    E(rM) - rf = E(rs) - rf

    1 bsIn other words, the expected rate of return of an asset

    exceeds the risk-free rate by a risk premium equal

    to the assets systematic risk (its beta) times the riskpremium of the market portfolio. This leads to thefamiliar:

    E(rs) = rf + bs [E(rM) - rf ]

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    APT and the

    Security Characteristic Line

    Excess Returns (i) SCL

    .

    .

    ...

    .

    . .

    . ..

    . . .. .

    . ..

    ..

    .

    . .

    . ..

    ...

    . .

    ..

    .

    . . .. .

    .

    . ... .. .. .

    Excess returns

    on market index

    Ri= a i+ iRm+ ei

    Plot of a companys excess return as a

    function of the excess return of the market

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    A. Efficient Market Hypothesis and why

    Securities Prices should be Unpredictable

    What is the Efficient Market Hypothesis (EMH)?

    A hypothesis (or theory) that security prices reflect

    all available information, i.e., historical, public, and

    non-public

    A framework for trying to understand the

    movements in stock prices

    Probably the single most important paradigm in

    finance

    Why is it important?

    It helps us understand formulate a basis for various

    investment strategies and also explain why prices

    move the way they do

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    What is Market Efficiency?

    What is efficiency?

    The quality or degree of being efficient, effective

    operation as measured by a comparison of

    production/energy with cost/output Are their different types of efficiency?

    Operational efficiency

    The measure of how well things function in

    terms of speed of execution and accuracy

    Informational efficiency (i.e. market efficiency)

    The measure of how quickly and accurately the

    market reacts to new information

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    Degrees of Informational Efficiency

    Weak form

    Stock prices reflect all information contained in the

    history of past tradingno benefit from past prices

    Semi-strong form Stock prices reflect all publicly available

    informationno benefit from 10Ks, 10Qs, etc.

    Strong form

    Stock prices reflect all relevant information,

    including past, public, and inside informationno

    benefit from any insider information

    SF SSF

    Weak Form

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    What is a Random Walk?

    The notion that stock prices are random and

    unpredictable

    Since information comes randomly, then itsimpact on stock prices should be random as well

    Price changes are actually a sub martingale

    The expected price is generally positive over

    time It has a positive trend and is random about the

    trend

    Random Walk and the EMH

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    SecurityPrices

    Time

    Random Walk with Positive Trend

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    Efficient Markets Hypothesis

    and Competition

    Stock prices fully and accurately reflect

    publicly available information

    Once information becomes available, market

    participants analyze it

    Participants will buy and sell based on that

    new information

    Competition assures prices reflectinformation, as securities will be bought and

    sold until the point that all new information

    is embedded in the price

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    Are there Other Theories?

    Semi-efficient market hypothesis (among

    others)

    A cousin of the EMH

    States that some stocks are priced moreefficiently than others

    This is generally used to support the notion of

    tiering in the markets

    Analysts can only follow so many stocks, sothey follow the largest

    The smaller are less followed, and hence are

    more likely to be less-efficiently priced

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    Questions

    Any questions of the Efficient Market

    Hypothesis and why stock prices should

    be unpredictable?

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    Problem #1

    Which of the following most appears tocontradict the proposition that the stockmarket is weak-form efficient? Explain.

    A. Over 25% of mutual fundsoutperforms the markets on average.

    B. Insiders earn abnormal trading profits

    C. Every January, the stock market earnsabove normal returns.

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    Answer #1

    c. Predictable returns should not

    occur according to the weak-form

    efficient market hypothesis. Higherthan average returns in the month of

    January each year contradicts the

    weak-form EMH.

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    B. Investment Strategies in

    Informationally Efficient Markets

    Does your view of efficient markets have an

    impact on how you manage a portfolio?

    Stock analysis assumes the markets are not weak

    and semi-strong form efficient Technical Analysis- using prices and volume

    information to predict future prices

    Violates weak-form efficiency

    Fundamental Analysis- using economic andaccounting information to predict stock prices

    Violates semi-strong form efficiency

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    Active Management

    If markets are efficient, then it depends on the

    degree of efficiency

    Security analysis assumes you can add even alittle bit of value

    It doesnt have to be too much if you are

    managing a large fund

    Timing assumes you can make decisionsregarding the attractiveness of various asset

    classes

    Implications of EMH Efficiency

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    Implications of EMH Efficiency

    Passive Management

    This is useful and cheap

    Buy and Hold

    Since the EMH indicates prices are at

    a fair value, it makes no sense to buy,

    sell, or do any type of analysis

    Index Funds If you cant beat them, join them

    mimic a broad benchmark of

    securities, i.e. the S&P 500

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    What if the markets are efficient? Is

    there still a role for portfolio

    management?

    Even if the markets are efficient, a role

    exists for portfolio management

    Determining an appropriate risk level

    Understanding tax considerations

    Taking into account other individual

    investment considerations for a portfolio

    Market Efficiency and Portfolio

    Management

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    Questions

    Do you understand how the implications

    of the EMH will affect trading

    strategies?

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    Problem #2

    Some scholars contend that professional

    managers are incapable of outperforming

    the market. Others come to an opposite

    conclusion. Compare and contrast the

    assumption about the stock market that

    support (a) passive portfolio

    management and (b) active portfoliomanagement.

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    Answer #2

    Assumptions that support passive management

    are that all available information is already

    reflected in the price of stocks. The fees for

    passive management are minimal. Assumptions that support active management

    are that there are pockets of market

    inefficiency. Active management is more

    feasible for managers of large portfolios.

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    How are tests made of the Efficient

    Market Hypothesis?

    Most common are:

    Performance Attribution: Assessing

    performance of professional managers

    Testing of filter / trading rules

    Event studies

    C. Understand Empirical Tests

    of Market Efficiency

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    Performance Attribution

    Results from Mutual Fund and Professional

    Manager Performance

    There is some evidence of persistent positive and

    negative performance The problem is that it takes time to determine

    both

    Sometimes positive returns are from managers

    investing outside their benchmark Potential measurement error for benchmark returns

    Style changes have occurred

    May be risk premiums involved

    There is a superstar phenomenon(Lynch, Buffett, etc.)

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    Testing of Filter/Trading Rules

    Very limited support of trading rules

    A trading rule might suggest you buy when

    the stock passes its 360 day moving

    average and sell when it drops below its 45day moving average

    Those who make money on trading rules

    are generally those selling the books Once a trading rule is known, it is generally

    exploited and then the inefficiency is lost

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    How Tests Are Structured

    1. Examine prices and returns over time

    Formulate a hypothesis (and choose an

    appropriate test statistic)2. Adjust returns to determine if they are abnormal

    Select a model, i.e. Rt= at+ btRmt+ et and

    compare expected returns to actual returns

    3. Compare actual results with expected resultsSee how well your actual results were predicted

    by your model

    Event Studies

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    Event Studies(continued)

    Results of Event Studies:

    If the results are good, you invest money with

    the testyou do not let anyone know, but

    make lots of money and retire early If the results are bad, you publish the results

    and make tenure, or try to sell books and tapes

    via the radio and TV to unsuspecting buyers

    who dont know any better

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    0 +t-t

    Announcement Date

    Returns Surrounding the Event

    Event Studies(continued)

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    Key Issues:

    Magnitude Issue

    A 1 basis point improvement for a $100K

    portfolio is much less important than for a $10bnportfolio

    Size matters

    Selection Bias Issue

    Investment schemes that dont work arepublished, and those that do are used to make

    money

    We only hear of those that dont work

    Final Thoughts on

    Market Efficiency

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    Market Efficiency (continued)

    Lucky Event Issue

    It is more difficult to prove skill than luck

    It takes more time to prove skill

    Possible Model Misspecification

    Perhaps the market is efficient but the

    model is incorrectly stated

    We may be using the wrong model

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    Market Efficiency (continued)

    What Does the Evidence Show?

    If it sounds too good to be true, itusually is

    It must make good common businesssense

    Common sense is all too uncommon

    Technical Analysis May be helpful for certain events

    But generally hasnot shownexcessreturns for a longer period of time

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    Market Efficiency (continued)

    Fundamental Analysis

    Has been shown to add value

    But analysts must forecast firms earnings

    better than everyone else

    Anomalies Exist

    But invest in them at your peril

    An anomaly discussed means it is known It is less like to do the same next time

    because others will be watching for it

    as well.

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    What is a market anomaly?

    A market anomaly refers to price behavior that

    differs from the behavior predicted by the

    efficient market hypothesis. An anomaly discussed means it is known

    It is less like to do the same next time

    because others will be watching for it as

    well. Are their anomalies that are known?

    D. Understand Anomalies

    to the EMH

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    Anomalies(continued)

    Price Earnings Effect

    Portfolios of low P/E stocks have exhibited higher

    average risk-adjusted returns than higher P/E

    Stocks

    Investors prefer cheaper stocks even if risk

    levels are the same.

    Small Firm Effect

    Smaller firms generally earn higher returns May be tied to fact that ownership of smaller

    firms is left to smaller investors who require a

    higher return to invest.

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    Anomalies(continued)

    January Effect

    Stocks tend to exhibit a higher return in January

    than any other month (higher for smaller stocks)

    May be tied to tax-loss selling or windowdressing at year-end

    Neglected Firm Effect

    Firms not followed by analysts tend to perform

    better than those followed Because costs are higher to analyze smaller

    firms, investors require a higher rate of return to

    invest in less liquid stocks

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    Anomalies(continued)

    Liquidity Effect

    Less liquid stocks sometimes perform better than

    more liquid stocks

    Investors may require a higher return premiumto compensate for lower liquidity

    Market to Book Ratios

    Stocks with lower price to book ratios (or higher

    book to market ratios) perform better Investors prefer to invest in cheaper stocks (in

    reference to their assets)

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    Anomalies(continued)

    Reversals

    Extreme stock market performance tends to

    reverse itself, i.e. reversion to the mean.

    Losers rebound and winners fall

    Value Line Enigma

    Stocks rated highly by Value Line perform

    better Investors may read Value Line

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    Anomalies(continued)

    Post-Earnings Announcement Drift

    The effect of earnings announcements

    continue for many days after the

    announcement May be due to trading costs, particularly

    for smaller companies

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    Problem #3

    What is a market anomaly? A market anomaly refers

    to:

    A. An exogenous shock to the market that is sharp

    but not persistent.

    B. A price or volume even that is inconsistent with

    historical price or volume trends.

    C. A trading or pricing structure that interferes with

    efficient buying and selling of securities.

    D. Price behavior that differs from the behavior

    predicted by the efficient markets hypothesis.

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    Answer #3

    d). A market anomaly refers to price

    behavior that differs from the behavior

    predicted by the efficient market

    hypothesis.

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    Questions

    Do you understand the tests of market

    efficiency and can you cite evidence that

    supports or contradicts the EMH?

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    Problem #4

    Prices of stocks before stock splits show

    on average consistently positive

    abnormal returns. Is this a violation of

    the EMH?

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    Answer #4

    No this is not a violation of the EMH.

    Usually stock splits occur as a response

    to good performance which drives up the

    stock price and leads managers to split

    the stock.

    When the managers announce a stock

    split the good performance of the stock is

    already accounted for in the price of the

    stock.

    Fi l Th h

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    Final Thoughts on

    Securities Analysis

    Securities Analysis is like a horse show

    But its not determining which is the best

    horse

    But which horse will the judges consider

    the best horse!

    You have to decide!!!!!!!

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    Review of Objectives

    A. Do you understand the efficient market

    hypothesis and why securities prices should be

    essentially unpredictable?

    B. Can you formulate investment strategies thatmake sense in informationally efficient markets?

    C. Do you understand the tests of market efficiency

    and cite evidence that supports or contradicts the

    EMH? D. Do you understand anomalies that exist to the

    EMH?