Four Factors and Two Regimes

Do returns associated with the four famous factors (market, size, book-to-market, momentum) vary systematically with the state of the market (such as bull or bear)? In their January 2009 paper entitled “The Effect of Market Regimes on Style Allocation”, Manuel Ammann and Michael Verhofen investigate how returns for the four factors differ between market states as determined by a multivariate two-state model of the overall equity market. Using U.S. stock market and factor data spanning 1927-2004, they conclude that:

• There are two reasonably distinct overall equity market regimes with different mean returns and volatilities: low-volatility and high-volatility. Market volatility is 2.6 times higher for the latter regime than for the former.
• The low-volatility regime, occurring about three quarters of the time, relates to high annual returns for the overall equity market (10.2%) and momentum stocks (12.4%), and low annual returns for small capitalization stocks (1.9%) and value stocks (2.6%).
• The high-volatility regime, occurring about one quarter of the time, relates to low annual returns for the overall equity market (0.4%), momentum stocks (-1.3%) and small capitalization stocks (3.1%) and high annual returns for value stocks (15.2%).
• An out-of-sample backtest indicates that switching styles according to market regime can be profitable. Specifically, momentum investing during the low-volatility regime and value investing during the high-volatility regime outperforms consistently and to a degree that appears profitable after accounting for transaction costs.

The following chart, taken from the paper, shows the modeled probability of the U.S. stock market being in the low-volatility regime during 1927-2004, with shaded areas corresponding to National Bureau of Economic Research recessions. The probability of being in the low-volatility regime is about 75% over the entire sample period. However, this probability rises (falls) to about 80% (55%) during economic expansions (recessions). The low-volatility regime favors momentum investing, while the complementary high-volatility regime favors value investing.

It seems reasonable to assume that the U.S. equity market is currently in the high-volatility regime.

In summary, equity investors may want to alternate between momentum and value investing styles as the overall stock market varies from low-volatility to high-volatility states.

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