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Empirical Financial Economics The Efficient Markets Hypothesis Review of Empirical Financial Economics Stephen Brown NYU Stern School of Business UNSW PhD Seminar, June 19-21 2006
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Major developments over last 35 years Portfolio theory
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Major developments over last 35 years Portfolio theory Asset pricing theory
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Major developments over last 35 years Portfolio theory Asset pricing theory Efficient Markets Hypothesis
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Major developments over last 35 years Portfolio theory Asset pricing theory Efficient Markets Hypothesis Corporate finance
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Major developments over last 35 years Portfolio theory Asset pricing theory Efficient Markets Hypothesis Corporate finance Derivative Securities, Fixed Income Analysis
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Major developments over last 35 years Portfolio theory Asset pricing theory Efficient Markets Hypothesis Corporate finance Derivative Securities, Fixed Income Analysis Market Microstructure
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Major developments over last 35 years Portfolio theory Asset pricing theory Efficient Markets Hypothesis Corporate finance Derivative Securities, Fixed Income Analysis Market Microstructure Behavioral Finance
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Efficient Markets Hypothesis which implies the testable hypothesis... where is part of the agent’s information set In returns: wher e
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Examples Random walk model Assumes information set is constant Event studies For event dummy (event) Time variant risk premia models z t includes X Important role of conditioning information
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Efficient Markets Hypothesis Tests of Efficient Markets Hypothesis What is information? Does the market efficiently process information? Estimation of parameters What determines the cross section of expected returns? Does the market efficiently price risk?
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Efficient Markets Hypothesis Weak form tests of Efficient Markets Hypothesis Example: trading rule tests Semi-strong form tests of EMH Example: Event studies Strong form tests of EMH Example: Insider trading studies (careful about conditioning!)
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Trading Rules: Cowles 1933 Cowles, A., 1933 Can stock market forecasters forecast? Econometrica 1 309- 325 William Peter Hamilton’s Track Record 1902-1929 Classify editorials as Sell, Hold or Buy Novel bootstrap in strategy space Return on DJI
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Asset pricing models: GMM paradigm Match moment conditions with sample moments Test model by examining extent to which data matches moments Estimate parameters
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Example: Time varying risk premia Time varying risk premia imply a predictable component of excess returns where the asset pricing model imposes constraint
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Estimating asset pricing models: GMM Define residuals Residuals should not be predictable using instruments z t-1 that include the predetermined variables X t-1 Choose parameters to minimize residual predictability
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Estimating asset pricing models: Maximum likelihood Define residuals Choose parameters to minimize Establishes a connection to Fama and MacBeth Resolves the “measurement error problem” Relationship to GMM: when instruments z t include the predetermined variables X t
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Fama and MacBeth procedure 05 10152025 30 t
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Fama and MacBeth procedure 05 10152025 30 t
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Fama and MacBeth procedure 05 10152025 30 t
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The Likelihood Function
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The market model regression
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The Fama MacBeth cross section regression
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Updating market model
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Full Information Maximum Likelihood
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Estimating asset pricing models: A simpler way Time varying risks and time varying premia: This collapses to a simpler model which generalizes: Investment management style analysis (GSC) Performance benchmark issues “Pure play” definitions
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Conclusion Efficient Market Hypothesis is alive and well EMH central to recent developments in empirical Finance EMH highlights importance of appropriate conditioning in empirical financial research in practical applications
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