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Buys low-historical-volatility stocks and shorts high-historical-volatility stocks, exploiting the empirical anomaly that lower-risk stocks deliver higher risk-adjusted returns.
stocks
low-volatility
anomaly

Low-Volatility Anomaly

Section: 3.4 | Asset Class: Stocks | Type: Anomaly / Low-Volatility

Overview

The low-volatility anomaly is based on the empirical observation that future returns of previously low-return-volatility portfolios outperform those of previously high-return-volatility portfolios. This contradicts the naive expectation that higher-risk assets should yield proportionately higher returns, and is one of the most robust anomalies in empirical finance.

Construction / Signal

Historical volatility sigma_i is computed from the time series of historical returns (as in the price-momentum formula):

sigma_i^2 = 1/(T-1) * sum_{t=S}^{S+T-1} (R_i(t) - R_i^mean)^2   (270)

Stocks are sorted by sigma_i in ascending order. A dollar-neutral portfolio is constructed by buying stocks in the bottom decile (low volatility) and shorting stocks in the top decile (high volatility).

Entry / Exit Rules

  • Entry: Buy bottom-decile stocks by sigma_i; short top-decile stocks by sigma_i.
  • Exit: Hold for the defined holding period (similar duration to the lookback window, typically 612 months).
  • No skip period required: Unlike momentum, no skip period is needed.

Key Parameters

  • Lookback window: 6 months (126 trading days) to 1 year (252 trading days)
  • Holding period: Similar to the lookback window, typically 6 months to 1 year
  • Volatility measure: Historical realized volatility sigma_i (annualized or monthly)
  • Portfolio construction: Dollar-neutral (long low-vol, short high-vol)

Variations

  • Long-only minimum variance: Buy low-volatility stocks only; used in minimum variance portfolio construction
  • Beta-sorted portfolios: Sort by market beta instead of (or in addition to) realized volatility

Notes

  • This anomaly goes counter to standard asset pricing theory (CAPM) which predicts higher risk = higher return.
  • Potential explanations include leverage constraints, benchmark hugging by institutional investors, and lottery preference among retail investors.
  • The lookback and holding periods are similar in duration (no skip period needed, unlike price-momentum).
  • Strategy can be combined with value or momentum factors in a multifactor portfolio (see Section 3.6).
  • Low-volatility stocks may cluster in defensive sectors (utilities, consumer staples), creating sector concentration risk.