Factor indices and smart beta

Daniel Broby

INTRODUCTION

“The three-factor model, and the CAPM, which is a one-factor model, have a common factor, the market factor. But the three-factor model has the two additional factors, the size factor and the value factor, hence the three-factor model. As a result, this model allows us to measure the sensitivity of whatever portfolio we’re testing to the size factor and the value factor, in addition to the market factor, which was the single factor in the CAPM model. So, if I have a portfolio that is market-like, I have a beta of one. When all these factors are present, the betas on nearly all diversified equity portfolios become one.”

—Rex Sinquefield, index-fund pioneer

In this chapter, we shift our focus to the concept commonly referred to as “smart beta”, acknowledging its somewhat inappropriate nomenclature. As established earlier, an index serves as a surrogate for the market, but the market undergoes daily fluctuations influenced by various macroeconomic factors. Index constructors continually grapple with these changes, necessitating the consideration and capture of such factors.

Factor analysis emerges as a valuable tool in the index constructor’s toolkit. A factor, in this

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