A Three-phase Approach to an Enhanced Index-tracking Problem with Real-life Constraints

Strub, Oliver; Brandinu, Stefano; Lerch, Dennis Julian; Schaller, Jürgen; Trautmann, Norbert (2019). A Three-phase Approach to an Enhanced Index-tracking Problem with Real-life Constraints. The engineering economist, 64(3), pp. 227-253. Taylor & Francis 10.1080/0013791X.2019.1619887

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Enhanced index tracking is an emerging strategy for investing money in the stock market and is aimed at achieving outperformance over a given benchmark index while achieving a low tracking error. We consider the problem of rebalancing a portfolio for an enhanced index tracking strategy subject to various real-life constraints, including a lower bound and an upper bound on the expected tracking error. To solve this problem, we propose a three-phase approach consisting of preprocessing, optimization, and learning. In a computational experiment, we applied this approach to rebalance a given portfolio on a monthly basis over a time horizon of 10 years; the data for the S&P 500 benchmark index were provided by the investment company Principal Global Investors. Our approach generated portfolios that were provably close to optimality for all monthly rebalancing decisions. Over the entire horizon of 10 years, the portfolios devised by our approach yielded cumulative returns higher than the S&P 500 index after transaction costs with a moderate tracking error.

Item Type:

Journal Article (Original Article)


03 Faculty of Business, Economics and Social Sciences > Department of Business Management > Institute of Financial Management > Professorship for Quantitative Methods in Business Administration

UniBE Contributor:

Strub, Oliver; Lerch, Dennis Julian and Trautmann, Norbert


600 Technology > 650 Management & public relations




Taylor & Francis




Juliana Kathrin Moser-Zurbrügg

Date Deposited:

02 Sep 2019 14:21

Last Modified:

28 Jan 2020 13:49

Publisher DOI:






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