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Betting Against Beta

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Betting Against Beta
Andrea Frazzini and Lasse H. Pedersen*

This draft: October 9, 2011

Abstract.
We present a model with leverage and margin constraints that vary across investors and time. We find evidence consistent with each of the model’s five central predictions: (1) Since constrained investors bid up high-beta assets, high beta is associated with low alpha, as we find empirically for U.S. equities, 20 international equity markets, Treasury bonds, corporate bonds, and futures; (2) A betting-against-beta (BAB) factor, which is long leveraged lowbeta assets and short high-beta assets, produces significant positive risk-adjusted returns; (3) When funding constraints tighten, the return of the BAB factor is low; (4) Increased funding liquidity risk compresses betas toward one; (5) More constrained investors hold riskier assets.

*

Andrea Frazzini is at AQR Capital Management, Two Greenwich Plaza, Greenwich, CT 06830, e-mail: andrea.frazzini@aqr.com; web: http://www.econ.yale.edu/~af227/ . Lasse H. Pedersen is at New York University, AQR, NBER, and CEPR, 44 West Fourth Street, NY 10012-1126; e-mail: lpederse@stern.nyu.edu; web: http://www.stern.nyu.edu/~lpederse/. We thank Cliff Asness, Aaron Brown, John Campbell, Kent Daniel, Gene Fama, Nicolae Garleanu, John Heaton (discussant), Michael Katz, Owen Lamont, Michael Mendelson, Mark Mitchell, Matt Richardson, Tuomo Vuolteenaho and Robert Whitelaw for helpful comments and discussions as well as seminar participants at Columbia University, New York University, Yale University, Emory University, University of Chicago Booth, Kellogg School of Management, Harvard University, NBER Behavioral Economics 2010, the 2010 Annual Management Conference at University of Chicago Booth School of Business, the 2011 Bank of America/Merrill Lynch Quant Conference and the 2011 Nomura Global Quantitative Investment Strategies

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