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A Markowitz Approach to Managing a Dynamic Basket of Moving-Band Statistical Arbitrages

Kasper Johansson, Thomas Schmelzer, Stephen Boyd

arXiv 3 Dec 2024 · Econometrics · publishedJournal of Asset Management (2025)

arXiv:2412.02660 · PDF · DOI · OpenAlex · Extracted main text

Abstract

We consider the problem of managing a portfolio of moving-band statistical arbitrages (MBSAs), inspired by the Markowitz optimization framework. We show how to manage a dynamic basket of MBSAs, and illustrate the method on recent historical data, showing that it can perform very well in terms of risk-adjusted return, essentially uncorrelated with the market.

Citation extraction

45
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64
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Most heavily cited references

The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.

ReferenceIntensityMentionsSectionsMain text
1K. Johansson, T. Schmelzer, and S. Boyd (2023) Finding moving-band statistical arbitrages via convex-concave optimization, 20231.00073100%
2R. Grinold and R. Kahn (2000) Active portfolio management0.81142100%
3K. Johansson, M. Ogut, M. Pelger, T. Schmelzer, and S. Boyd (2023) A simple method for predicting covariance matrices of financial returns0.81142100%
4S. Boyd, K. Johansson, R. Kahn, P. Schiele, and T. Schmelzer (2023) Markowitz portfolio construction at seventy, 20230.64441100%
5G. D'avolio (2002) The market for borrowing stock0.64422100%
6C. Geczy, D. Musto, and A. Reed (2002) Stocks are special too: An analysis of the equity lending market0.64422100%
7M. Avellaneda and J. Lee (2010) Statistical arbitrage in the US equities market0.51121100%
8E. Gatev, W. Goetzmann, and G. Rouwenhorst (2006) Pairs trading: Performance of a relative-value arbitrage rule0.51121100%
9S. Boyd and L. Vandenberghe (2004) Convex optimization0.40511100%
10R. Engle (2002) Dynamic conditional correlation0.40511100%

Showing the top 10 of 45 scored citations.