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Betting against beta

Andrea Frazzini, Lasse Heje Pedersen

Journal of Financial Economics · 2014 · 2043 citations

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Betting Against Beta


Source: Frazzini & Pedersen (2014) · Journal of Financial Economics · DOI: 10.1016/j.jfineco.2013.10.005 · Publisher (open access)


TL;DR


High-beta assets are overpriced and low-beta assets underpriced, because leverage-constrained investors bid up high-beta securities to chase returns. A market-neutral Betting-Against-Beta (BAB) factor — long low-beta (levered up) and short high-beta (levered down) — earns large, significant returns across asset classes and countries. The security market line is too flat, and BAB monetizes that flatness.


What anomaly it documents


  • Predictor: estimated market beta.
  • Direction: negative alpha in beta — low-beta assets have positive alpha, high-beta assets negative alpha.
  • Core mechanism: investors who cannot use leverage (or face margin constraints) overweight high-beta assets to raise expected returns, pushing their prices up and future returns down. This flattens the security market line relative to the CAPM prediction.
  • Breadth: the result holds for US equities, 20+ international equity markets, Treasury bonds, credit, and futures — a key robustness point.
  • OSAP predictor: BetaFP.

  • How to construct it


  • Sorting variable: ex-ante beta, estimated from rolling correlations and volatilities (the paper uses 1-year daily vols and 5-year overlapping return correlations, shrunk toward 1).
  • Universe: broad — all available stocks in a market; replicated across asset classes.
  • Portfolio formation: rank securities by estimated beta.
  • Long / short with leverage adjustment (the defining trick): long the low-beta portfolio, leveraged up to a beta of 1; short the high-beta portfolio, deleveraged down to a beta of 1. The resulting BAB factor is ex-ante market-neutral (beta ≈ 0).
  • Weighting: rank-weighted (weights proportional to deviation from median beta).
  • Rebalancing: monthly.

  • Evidence and replication


    PeriodSharpe (approx)NotesSource
    IS US equities (1926–2012)~0.7–0.8high, significant BAB alphathis paper
    IS global / multi-assetpositive across 20+ markets & asset classesbreadth is the headlinethis paper
    OOS (post-2014)positive, compressedlow-vol crowdingpost-publication
    OSAP replication (BetaFP)clear, positiveChen & Zimmermann 2022

  • BAB delivered a high Sharpe in US equities and, importantly, consistent positive returns across asset classes and countries — strong evidence against a single-sample data-mining story.
  • BAB returns are time-varying with funding conditions: they are low when funding constraints tighten (the mechanism's testable prediction) and recover afterward.

  • Why it might work


  • Leverage/funding constraints (the thesis): Black (1972) first noted constrained investors flatten the SML; Frazzini-Pedersen formalize it with funding-liquidity constraints. Investors wanting more than market return but unable to borrow tilt into high beta, overpricing it.
  • Lottery/behavioral overlap: high-beta stocks overlap with high-volatility, lottery-like names that investors overpay for (links to the IVOL/MAX literature).
  • Benchmarking frictions: managers judged against a benchmark avoid leverage and prefer high-beta stocks, reinforcing the distortion.

  • Limitations and risks


  • Requires leverage and shorting: the strategy is defined by levering the low-beta leg — not implementable by leverage-constrained investors (the very friction that creates it), and short borrow on high-beta names has costs.
  • Beta-estimation sensitivity: results depend on the beta estimator and shrinkage; mis-estimated betas degrade neutrality.
  • Implementation critique: Novy-Marx & Velikov and others argue a meaningful share of BAB's return comes from small/micro-cap stocks and from the specific rank-weighting and leverage conventions; net-of-cost returns are lower.
  • Crowding: the low-vol/low-beta family is now heavily invested, compressing the premium.

  • Key references


  • Frazzini, A. & Pedersen, L. (2014) — Betting Against Beta — Journal of Financial Economics — DOI: 10.1016/j.jfineco.2013.10.005
  • Black, F. (1972) — Capital Market Equilibrium with Restricted Borrowing — Journal of Business
  • Bali, T., Cakici, N. & Whitelaw, R. (2011) — Maxing Out: Stocks as Lotteries… — Journal of Financial Economics
  • Novy-Marx, R. & Velikov, M. (2022) — Betting Against Betting Against Beta — Journal of Financial Economics
  • Chen, A. & Zimmermann, T. (2022) — Open Source Cross-Sectional Asset Pricing — Critical Finance Review

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