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Benchmark-based evaluation of portfolio performance: a characterization

Author

Listed:
  • Aleksandr G. Alekseev

    (Georgia State University)

  • Mikhail V. Sokolov

    (European University at St. Petersburg
    St. Petersburg State University
    St. Petersburg Institute for Economics and Mathematics RAS)

Abstract

Benchmarking is a universal practice in portfolio management and is well-studied in the optimal portfolio selection literature. This paper derives axiomatic foundations of the relative return, which underlies a benchmark-based evaluation of portfolio performance. We show that the existence of a benchmark naturally arises from a few basic axioms and is tightly linked to the economic theory. Our method relies on the use of both axiomatic and economic approaches to index number theory. We also analyze the problem of optimal portfolio selection under complete uncertainty about a future price system, where the objective function is the relative return.

Suggested Citation

  • Aleksandr G. Alekseev & Mikhail V. Sokolov, 2016. "Benchmark-based evaluation of portfolio performance: a characterization," Annals of Finance, Springer, vol. 12(3), pages 409-440, December.
    • Handle: RePEc:kap:annfin:v:12:y:2016:i:3:d:10.1007_s10436-016-0286-4
    DOI: 10.1007/s10436-016-0286-4
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    Cited by:

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    2. Chendi Ni & Yuying Li & Peter Forsyth & Ray Carroll, 2020. "Optimal Asset Allocation For Outperforming A Stochastic Benchmark Target," Papers 2006.15384, arXiv.org.

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    More about this item

    Keywords

    Portfolio performance; Compound annual growth rate; Benchmarking; Index number theory; Portfolio choice under uncertainty;
    All these keywords.

    JEL classification:

    • C43 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Index Numbers and Aggregation
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions

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