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Understanding Factor Risk

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Understanding Factor Risk
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Factor Analysis provides a rigorous and transparent approach to understanding the risk of a portfolio.

Background

Factor Analysis is in finance began in the mid-1970s following Stephen Ross's paper on arbitrage pricing theory which decomposed asset returns into a small number of core underlying factors.  At its core, factor analysis assumes that the returns of any security can be broken down into a small set of underlying factors, common to all assets, and a security specific, idiosyncratic term. Many versions of factor investing have been developed and is a key tool for understanding portfolio risk and returns.

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Approach In Clarity

Many factor models utilize macroeconomic variables, such as sensitivity to inflation & GBP, or fundamentals like market capitalization, value and momentum. While the results of these models are useful, they do not directly translate into an investable portfolio. With Clarity, we take a different approach. All of the factors are calculated directly from the returns of liquid ETFs, currencies and government bonds. This allows for a factor representation that can be easily understood and replicated in the market.

Clarity uses 3 core factors (US Equities - SPY, Nominal Interest Rates - 10YR UST Bond, FX - EURUSD) as the major drivers of risk and then a series of user defined residuals factors (tilts) that represent the risk to market sub-subsectors after the core risk is stripped out. Residual factors include mega-cap (QQQ), high yield (HYG) and EUR interest rates (10YR German Govt Bond).

To take a simple example, consider a portfolio consisting of $100mio of QQQ. The resultant factor risk is concentrated in core equities ($117.25mio of SPY which represents the traditional equity beta, a long $15.6mio position in 10YR UST which identifies that tech firms tend to do better in low interest rate environments, and $100mio in Nasdaq 100 Tilt (the residual factor risk of QQQ after the core market factors are taken out).

Factor Risk Decomposition of QQQ

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Historical Performance

While the core factors are easily observable, the residual factors are calculated using regression model. The performance over the past 2 years of a sample set of residual factors is shown below. Nasdaq 100 (QQQ) has outperformed the core market while energy (XLE) has heavily underperformed.

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Residual Factor Performance - 2 Years

Relative Value

Factor Analysis may also provide a measure for which sectors of the market offer better relative value.

Factor Return Range - 2 Years

Resources

For a quick mathematical introduction to factor analysis in finance we would recommend David Hiller's video.

Additional videos link.

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Additional Resources

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