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On Geometric and Arithmetic Portfolio Performance Indexes

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  • Rothstein, Marvin

Abstract

The literature of Index numbers contains much discussion of the relative merits of geometric and arithmetic averages of prices and quantities. The controversy on this subject dates from the middle of the nineteenth century and is fully described by Crowe [2], In recent times both types of averages have been applied to security price relatives to measure the performance of groups of securities over time. The purpose of this paper is to demonstrate the properties of these security indexes and to show the relationships between them and an index based upon a more general type of average called the power mean. The concluding section of this paper contains the proof of an interesting and important limit property which provides the conceptual link between geometric and arithmetic security indexes.

Suggested Citation

  • Rothstein, Marvin, 1972. "On Geometric and Arithmetic Portfolio Performance Indexes," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 7(4), pages 1983-1992, September.
    • Handle: RePEc:cup:jfinqa:v:7:y:1972:i:04:p:1983-1992_01
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    Cited by:

    1. Alexander Alekseev & Mikhail Sokolov, 2016. "Portfolio Return Relative to a Benchmark," EUSP Department of Economics Working Paper Series Ec-04/16, European University at St. Petersburg, Department of Economics.
    2. Gishan Dissanaike & Alexandre Le Fur, 2003. "On the Use of the Log CAR Measure in Event Studies," Journal of Business Finance & Accounting, Wiley Blackwell, vol. 30(7‐8), pages 1165-1170, September.
    3. Vecco, Marilena & Zanola, Roberto, 2017. "Don’t let the easy be the enemy of the good. Returns from art investments: What is wrong with it?," Journal of Economic Behavior & Organization, Elsevier, vol. 140(C), pages 120-129.
    4. 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.
    5. Aleksandr Alekseev & Mikhail Sokolov, 2016. "Portfolio Return Relative to a Benchmark," EUSP Department of Economics Working Paper Series 2016/04, European University at St. Petersburg, Department of Economics.

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