Paper

Journal of Asset Management (2007) 8, 58–72. doi:10.1057/palgrave.jam.2250060

Alpha budgeting — Cross-sectional dispersion decomposed

Wallace Yu1 and Yazid M Sharaiha2

Correspondence: Yazid M. Sharaiha, 25 Cabot Square, London E14 4QA, UK. E-mail: yazid.sharaiha@morganstanley.com

1is Vice President in Global Markets Equity at Deutsche Bank AG London. He holds a Master's in Mathematical Finance from Imperial College, London (2001) and is a CFA charterholder. This paper was co-authored when he was at Morgan Stanley's Quantitative and Derivative Strategies group.

2is Managing Director at Morgan Stanley where he heads the Quantitative and Derivative Strategies group. He holds a Master's in Engineering from UC Berkeley and a PhD in Operations Research from Imperial College, London (1991). He has co-authored one book and published over 30 articles in the fields of optimisation and financial modelling.

Received 1 February 2007; Revised 1 February 2007.

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Abstract

(All work in this paper is based on research conducted by the two authors working for Morgan Stanley and the findings have appeared in the Morgan Stanley Quantitative and Derivative Strategies publication as of March 2006). The last three years have witnessed markedly lower volatility in global equity markets, combined with higher correlation and lower dispersion. This has meant greater challenges for asset allocation and stock selection — alpha opportunities appear limited. How should the investment process be structured to maximise exploitation of the available alpha? We introduce cross-sectional standard deviation (or dispersion) as a metric for alpha opportunities, and show how it can shed light on the management of research resources, and on the optimal combination of investment strategies. The metric allows for objective alpha budgeting in the investment process. This involves both the identification of the key top-down drivers of dispersion in a given market regime, and the appropriate 'alpha granularity', which is linked to the optimal concentration of stocks in the portfolio. Alpha budgeting from top-down allocations — country, sector, size, style and beyond: using a novel decomposition framework of cross-sectional dispersion, we show the relative magnitude of top-down allocation decisions for several organisational structures. In Europe, sector investing continues to provide greater opportunities than country investing. Alpha opportunities and volatility — hedging opportunities: we establish a linkage between cross-sectional standard deviation (dispersion) and time-series correlation and volatility. Low return dispersion can be a business model risk for active stock pickers; we show how targeted exposure to volatility can be used as a hedge.

Keywords:

cross-sectional volatility, dispersion, alpha budgeting, risk decomposition, portfolio construction

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