Brown Warner

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    Siraprapa Watakit

    5502310013

    MEASURING SECURITY

    PRICE ERFORMANCE

    Brown and Warner [1980]

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    Agenda

    Overview of The Paper

    Contribution

    Event Study In General

    Questions and Concerns Experimental Design & Analysis

    Conclusion

    2

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    Overview of The Paper3

    The paper mainly focus about the various measurement methods,

    models and statistical tests which employed in Event Study

    Research

    There are quite a number of factor which may lead researcher to

    commit Type-I and Type-II errors

    Especially when some model/test assumption doesnt hold

    The investigation in this paper shows that simple model provides

    powerful test results that sometimesoutperform sophisticated

    models

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    Contribution4

    This paper provide a very detailed summary of methods, models

    and test tools which are currently widely used in event study

    research

    The purpose of this paper is not the label best model/tool for event

    study but rather give reader factors to be consider when each ofthem is being employed

    In order to avoid Type-I/II Errorswrong inference

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    What is Event Study?5

    ES is a study about events and its effects towards security price

    e.g. when company announces news, will stock price

    increase(decrease)?

    ES provides a direct test in market efficiency

    the market absorbs information quickly, there should not be

    abnormal returns after the event

    Abnormal returnsafter event are inconsistent with market

    efficiency

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    To do Event Study, we need?6

    To perform the ES, we need to know/assess these things

    What is normal and abnormal?

    When did it happen? certainty/uncertain?

    What kind of statistical test tool we should use?

    What methodology?

    What we should avoid?

    H0: No Abnormal Returns Type-I: Reject H0 when H0 is True(false reject)

    Type-II Failed to reject H0 when H0 is False(false accept)

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    Measuring Performance:

    General Consideration7

    Define Abnormal i.e. compare ex anteand ex post

    Mean Adjusted Return

    Market Adjusted Return

    Maker and Risk Adjusted

    Abnormal performance is an unbiased measurement

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    Concerns/Question8

    Which model to use?

    The complicated/sophisticated one does not necessaryoutperform the simple one

    assumption is critically related to the return generating process

    and yet critically related to the test tool to test H0 Besides these 3 models, there are plenty other model

    Black models, Fama-Macbeth and etc.

    Is there other sensitivity factors to the model/test?

    Normality, clustering event, equal andvalue weighted index, time?

    Roll critiques

    there is no way to find market efficient portfolio

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    Experimental Design9

    Generates 250 samples

    Each sample consists of 50 random security at random time

    (on average, thereshould be no abnormal performance)

    To investigate models/test-tool,

    repeat the models/test-tools on the above sample

    introduce fake event into the above sample and repeat the

    model/test-tools again

    0 indicate event date

    fake abnormal include 1%,5%,15% and 20% increase in return

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    Simulating the methodologies across

    samples: Procedure and initial results10

    Rejection frequency

    with t-tests

    Mean Adj.Ret

    performs no less

    than others

    Parametric vs. Non-

    Parametric tests

    Sign test and Wilcoxon

    seems to beproblematic

    There is no abnormal return here, we would

    expect less or zero #rejection

    There is actual 1%, 5% no abnormal return here, we

    would expect much of #rejection

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    Simulating the methodologies across

    samples: Procedure and initial results11

    Compare betweenactualandassumeddistribution: even when

    there is no abnormal return, the actual distribution is significantly

    different than assumed distribution

    at 0.05

    sig.level, rejectH0: student-t

    distribution

    The actual

    distribtution is

    leptokurtic andskewed to the

    right

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    Simulating the methodologies across

    samples: Procedure and initial results12

    Different risk adjustment methods: explicitly adjusting systematic

    risksdoesnt help increasing the rejection rate

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    The used of prior information13

    Previous 3 table results are from the setup that assumed

    certain event date is known

    the direction of abnormal return is known(one tailed test)

    But what if it is not?

    Since exact date is unknown, we will use event windows

    Since direction is unknown we will usetwo-tailedtests

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    The used of prior information14

    The rejection rate drop

    sharply, event for 15%

    abnormal return

    Shorter windows(-5,5)

    gives higher rejection rate

    Two tailedgives lesser

    rejection rate

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    The used of prior information15

    The Cumulative Average Residual:

    Repeat the same application to each of 250 samples, then

    For each event-month, we will have 250 CAR from 250 sample

    Trace the fractiles of this 250 CAR in each even-month

    Sample#1

    month -10

    month 0

    month 10

    AR-10

    CAR0

    CAR10

    21CARs

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    CAR Traces /w and /wo abnormal16

    From the comparison,no strong distinguish. CAR can appear

    significant + or trend event when there isno abnormal return

    However, with (-5,5) we can see something

    No Abnormal 5% Abnormal(-10,10) 5% Abnormal(-5,5)

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    The Effect of Clustering:

    Event-month17

    Clustering can be a problem because it reduces the power of test

    Mean Average Return perform poorly in this case

    Clustering may not be random

    e.g. group of sample which

    are from same industry would

    tend of have event at a similar

    or same time

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    The Effect of Clustering:

    Betas18

    When securities have higher betas, it can be expected that the power

    of the test will be lower when compare to those with smaller beta

    smaller fluctuation will be easier to reject

    rejection rate is

    higher for

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    Choice of Market Index19

    Previous results use equal weighted index

    With value weighted index , the models suffer from reject too

    often, except for Market Model Residual

    MAR rejects too

    often, but MMR is

    ok

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    Conclusion20

    There are many factors to consider when one wants to do event

    study i.e. models, tests, assumed distribution, clustering, CAR

    random walk trends,choice of index and sample size, in order to

    avoid making wrong inference

    So far, a simple method Means Adjusted Return perform no lessthan other sophisticated models(Only except event clustering case)