Rational Attention Allocation Over the Business Cycle

The question of whether and how mutual fund managers provide valuable services for their clients motivates one of the largest literatures in finance. One candidate explanation is that funds process information about future asset values and use that information to invest in high-valued assets. But formal theories are scarce because information choice models with many assets are difficult to solve as well as difficult to test. This paper tackles both problems by developing a new attention allocation model that uses the state of the business cycle to predict information choices, which in turn, predict observable patterns of portfolio investments and returns. The predictions about fund portfolios’ covariance with payoff shocks, cross-fund portfolio and return dispersion, and their excess returns are all supported by the data. These findings offer new evidence that some investment managers have skill and that attention is allocated rationally.

[1]  Laura Veldkamp,et al.  Information Immobility and the Home Bias Puzzle , 2005 .

[2]  R. Rigobón,et al.  No Contagion, Only Interdependence: Measuring Stock Market Co-Movements , 1999 .

[3]  Victor L. Bernard,et al.  POST-EARNINGS-ANNOUNCEMENT DRIFT - DELAYED PRICE RESPONSE OR RISK PREMIUM , 1989 .

[4]  Xavier Gabaix,et al.  Variable Rare Disasters: An Exactly Solved Framework for Ten Puzzles in Macro-Finance , 2007 .

[5]  Mark M. Carhart.  On Persistence in Mutual Fund Performance , 1997 .

[6]  R. Koijen.  The Cross-section of Managerial Ability and Risk Preferences , 2007 .

[7]  K. J. Martijn Cremers,et al.  How Active is Your Fund Manager? A New Measure That Predicts Performance , 2009 .

[8]  H. Chen.  Macroeconomic Conditions and the Puzzles of Credit Spreads and Capital Structure , 2009 .

[9]  Ricardo Reis,et al.  When Should Policymakers Make Announcements , 2011 .

[10]  R. Rigobón,et al.  No Contagion, Only Interdependence: Measuring Stock Market Comovements , 2002 .

[11]  J. Campbell,et al.  By Force of Habit: A Consumption‐Based Explanation of Aggregate Stock Market Behavior , 1995, Journal of Political Economy.

[12]  Kent D. Daniel,et al.  Measuring mutual fund performance with characteristic-based benchmarks , 1997 .

[13]  Ron Kaniel,et al.  The Delegated Lucas Tree , 2011 .

[15]  W. Newey,et al.  A Simple, Positive Semi-Definite, Heteroskedasticity and Autocorrelationconsistent Covariance Matrix , 1986 .

[16]  E. Fama,et al.  Luck Versus Skill in the Cross Section of Mutual Fund Returns , 2009 .

[17]  Anat R. Admati.  A Noisy Rational Expectations Equilibrium for Multi-Asset Securities Markets , 1985 .

[18]  Laura Veldkamp,et al.  Information Choice in Macroeconomics and Finance , 2011 .

[19]  R. Wermers,et al.  Investing in Mutual Funds When Returns are Predictable , 2005 .

[20]  G. Schwert,et al.  Stock Volatility During the Recent Financial Crisis , 2011 .

[21]  R. Kalra,et al.  Mutual Fund Performance: An Empirical Decomposition into Stock-Picking Talent, Style, Transactions Costs, and Expenses , 2001 .

[22]  J. Jackson.  Wholesale and retail , 1916 .

[23]  Sydney C. Ludvigson,et al.  Measuring and Modelling Variation in the Risk-Return Trade-Off , 2001 .

[24]  Russ Wermers,et al.  Mutual Fund Performance: An Empirical Decomposition into Stock-Picking Talent, Style, Transactions Costs, and Expenses , 2000 .

[25]  Anna Pavlova,et al.  Optimal Asset Allocation and Risk Shifting in Money Management , 2006 .

[26]  C. Sims.  Implications of rational inattention , 2003 .

[27]  David A. Chapman,et al.  The Portfolio Choices of Young and Old Active Mutual Fund Managers , 2010 .

[28]  Mirko Wiederholt,et al.  Sectoral Price Data and Models of Price Setting , 2009 .

[29]  Dimitri Vayanos,et al.  Fund flows and asset prices: a baseline model , 2010 .

[30]  F. Diebold,et al.  Macroeconomic Volatility and Stock Market Volatility, Worldwide , 2008 .

[31]  S. B. Thompson.  Simple Formulas for Standard Errors that Cluster by Both Firm and Time , 2009 .

[32]  Sanford J. Grossman.  On the Impossibility of Informationally Efficient Markets , 1980 .

[33]  David I. Laibson,et al.  The 6D Bias and the Equity-Premium Puzzle , 2001, NBER Macroeconomics Annual.

[34]  Sydney C. Ludvigson,et al.  Macro Factors in Bond Risk Premia , 2005 .

[35]  Raj Chetty,et al.  Consumption Commitments and Risk Preferences , 2006 .

[36]  Joel Peress,et al.  Wealth, Information Acquisition, and Portfolio Choice , 2004 .

[37]  P. Kondor.  The more we know, the less we agree: Public announcements, higher-order expectations, and rational inattention , 2010 .

[38]  Thomas M. Cover,et al.  Elements of Information Theory , 2005 .

[39]  Αικατερίνη Ανδρεοπούλου,et al.  Have individual stocks become more volatile : an empirical exploration of idiosyncratic risk , 2010 .

[40]  N. Roussanov,et al.  Countercyclical Currency Risk Premia , 2010 .

[41]  Martin J. Gruber,et al.  Another puzzle: the growth in actively managed mutual funds , 1996, Annals of Operations Research.

[42]  Laura Veldkamp,et al.  Time-Varying Fund Manager Skill , 2011 .

[43]  Hong Zhang,et al.  Estimating the Dynamics of Mutual Fund Alphas and Betas , 2004 .

[44]  Ron Kaniel,et al.  Equilibrium Prices in the Presence of Delegated Portfolio Management , 2006 .

[45]  Peter J. Klenow,et al.  Sticky Information and Sticky Prices , 2006 .

[46]  Andrew Ang,et al.  Asymmetric Correlations of Equity Portfolios , 2001 .

[47]  Ricardo Reis,et al.  Inattentive Producers , 2005 .

[48]  Robert Kosowski,et al.  Do Mutual Funds Perform When it Matters Most to Investors? US Mutual Fund Performance and Risk in Recessions and Expansions , 2006 .

[49]  P. Veronesi,et al.  Excess Comovement of International Stock Markets in Bad Times: A Rational Expectations Equilibrium Model , 2008 .

[50]  M. Greenberger.  Computers, Communications and the Public Interest , 1971 .

[51]  Bartosz Mackowiak,et al.  Business Cycle Dynamics Under Rational Inattention , 2011, SSRN Electronic Journal.

[52]  Marcin T. Kacperczyk,et al.  On the Industry Concentration of Actively Managed Equity Mutual Funds , 2004 .

[53]  B. Dumas.  Two-Person Dynamic Equilibrium in the Capital Market , 1989 .

[54]  Pierre-Olivier Weill,et al.  Learning from Prices: Public Communication and Welfare , 2010, Journal of Political Economy.

[55]  Laura Veldkamp,et al.  Media Frenzies in Markets for Financial Information , 2003 .

[56]  Risk Shifting and Mutual Fund Performance , 2010 .

[57]  Campbell R. Harvey,et al.  Market Timing Ability and Volatility Implied in Investment Newsletters' Asset Allocation Recommendations , 1994 .

[58]  Lu Zheng,et al.  Unobserved Actions of Mutual Funds , 2005 .

[59]  Joel Peress,et al.  The Tradeoff Between Risk Sharing and Information Production in Financial Markets , 2008, J. Econ. Theory.

[60]  Bartosz Mackowiak,et al.  Inattention to Rare Events , 2011, SSRN Electronic Journal.

[61]  Marcin T. Kacperczyk,et al.  Fund Manager Use of Public Information: New Evidence on Managerial Skills , 2007 .

[62]  P. Kondor.  The more we know , the less we agree : Higher-order expectations , public announcements and rational inattention , 2009 .

[63]  Harold L. Cole,et al.  Macro Implications of Household Finance , 2007 .

[64]  Brent R. Moulton.  Random group effects and the precision of regression estimates , 1986 .

[65]  Amir Yaron,et al.  What's Vol Got to Do with It , 2011 .

[66]  A. Lynch,et al.  Does Mutual Fund Performance Vary Over the Business Cycle? , 2002 .

[67]  Filip Mat,et al.  Rigid Pricing and Rationally Inattentive Consumer , 2010 .

[68]  Sydney C. Ludvigson,et al.  Measuring and modeling varia-tion in the risk-return tradeoff , 2005 .

[69]  Hany A. Shawky,et al.  Stock market volatility and the business cycle , 1997 .

[70]  M. Spiegel,et al.  A Theory of Mutual Funds: Optimal Fund Objectives and Industry Organization , 2001 .

[71]  Judging Fund Managers by the Company They Keep , 2005 .

[72]  Robert E. Verrecchia.  Information Acquisition in a Noisy Rational Expectations Economy , 1982 .

[73]  R. Engle,et al.  The Spline-Garch Model for Low Frequency Volatility and its Global Macroeconomic Causes , 2006 .

[74]  Chris I. Telmer,et al.  Cyclical Dynamics in Idiosyncratic Labor Market Risk , 2004, Journal of Political Economy.

[75]  Vincent Glode.  Why Mutual Funds 'Underperform' , 2010 .

[76]  Nicolae Gârleanu,et al.  Yooung, Old, Conservative and Bold: The implications of finite lives and heterogeneity for asset prices , 2008 .

[77]  Glenn Ellison,et al.  Career Concerns of Mutual Fund Managers , 1998 .

[78]  Allan Timmermann,et al.  Firm Size and Cyclical Variations in Stock Returns , 2000 .

[79]  Tim Bollerslev,et al.  Volatility and Time Series Econometrics , 2010 .

[80]  E. Fama,et al.  BUSINESS CONDITIONS AND EXPECTED RETURNS ON STOCKS AND BONDS , 1989 .

[81]  K. French,et al.  The Cost of Active Investing , 2008 .

[82]  E. Fama,et al.  Industry costs of equity , 1997 .

[83]  C. Peake.  Improved Forecasting of Mutual Fund Alphas and Betas , 2008 .

[84]  N. Mankiw,et al.  Sticky Information Versus Sticky Prices: A Proposal to Replace the New Keynesian Phillips Curve , 2001 .

[85]  Ming Huang,et al.  Does Fund Size Erode Mutual Fund Performance? The Role of Liquidity and Organization , 2004 .

[86]  Jordi Mondria,et al.  Portfolio choice, attention allocation, and price comovement , 2010, J. Econ. Theory.

[87]  G. Schwert.  Why Does Stock Market Volatility Change Over Time? , 1988 .

[88]  M. C. Jensen.  The Performance of Mutual Funds in the Period 1945-1964 , 1967 .

[89]  Malcolm P. Baker,et al.  Investor Sentiment and the Cross-Section of Stock Returns , 2003 .

[90]  Jessica A. Wachter,et al.  Can Mutual Fund Managers Pick Stocks? Evidence from Their Trades Prior to Earnings Announcements , 2004, Journal of Financial and Quantitative Analysis.

[91]  Dimitri Vayanos,et al.  An Institutional Theory of Momentum and Reversal , 2008 .

[92]  David I. Laibson,et al.  Costly Information Acquisition: Experimental Analysis of a Boundedly Rational Model , 2006 .

[93]  Yi Zhang,et al.  The Determinants of International Investment and Attention Allocation: Using Internet Search Query Data , 2007 .

[94]  Filip Matejka,et al.  Rigid Pricing and Rationally Inattentive Consumer , 2010 .

[95]  Laura L. Veldkamp,et al.  Information Acquisition and Under-Diversification , 2008 .

[96]  Janice C. Eberly,et al.  Optimal Inattention to the Stock Market , 2007 .

[97]  C. Sims.  Rational Inattention: Beyond the Linear-Quadratic Case , 2006 .