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Introducing Aggregate Return on Investment as a Solution to the Contradiction Between Some PME Metrics and IRR

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  • Dean Altshuler

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  • Carlo Alberto Magni

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Abstract

The Index Comparison Method (ICM) is a well-known approach for measuring a Private Equity Investment’s (PEI) performance. It is based on the construction of a benchmark portfolio that, each period, earns the index return. This generates a time series of interim net asset values that leads to a terminal NAV, from which an Internal Rate of Return is computed. However, the IRR is itself necessarily associated with its own time series of built-in NAVs, to which the IRR is applied. And, unfortunately, this series of values will be different from the aforementioned benchmark portfolio’s NAVs. As a result, the ICM approach rests on two contradictory sets of values, thereby rendering it illegitimate. Furthermore, the ICM approach does not preserve additivity of the rates of return, and, in principle, might even generate multiple IRRs. This paper presents the Aggregate Return on Investment (AROI), a metric which (i) uses one consistent time series of NAVs (the benchmark portfolio’s true values) (ii) preserves additivity, and (iii) does not incur the problem of multiple solutions.

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  • Dean Altshuler & Carlo Alberto Magni, 2015. "Introducing Aggregate Return on Investment as a Solution to the Contradiction Between Some PME Metrics and IRR," Centro Studi di Banca e Finanza (CEFIN) (Center for Studies in Banking and Finance) 0056, Universita di Modena e Reggio Emilia, Dipartimento di Economia "Marco Biagi".
  • Handle: RePEc:mod:wcefin:0056
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    Cited by:

    1. Chiara Pederzoli & Costanza Torricelli, 2019. "The impact of the Fundamental Review of the Trading Book: A preliminary assessment on a stylized portfolio," Centro Studi di Banca e Finanza (CEFIN) (Center for Studies in Banking and Finance) 0075, Universita di Modena e Reggio Emilia, Dipartimento di Economia "Marco Biagi".
    2. Francesca Arnaboldi, Francesca Gioia, 2019. "Portfolio choice: Evidence from new-borns," Centro Studi di Banca e Finanza (CEFIN) (Center for Studies in Banking and Finance) 0078, Universita di Modena e Reggio Emilia, Dipartimento di Economia "Marco Biagi".
    3. Magni, Carlo Alberto & Marchioni, Andrea, 2019. "Performance measurement and decomposition of value added," MPRA Paper 95258, University Library of Munich, Germany.
    4. Massimo Baldini & Giovanni Gallo & Costanza Torricelli, 2017. "Past Income Scarcity and Current Perception of Financial Fragility," Centro Studi di Banca e Finanza (CEFIN) (Center for Studies in Banking and Finance) 0064, Universita di Modena e Reggio Emilia, Dipartimento di Economia "Marco Biagi".
    5. Stefano Cosma & Francesca Pancotto & Paola Vezzani, 2018. "Customer Complaining and Probability of Default in Consumer Credit," Centro Studi di Banca e Finanza (CEFIN) (Center for Studies in Banking and Finance) 0068, Universita di Modena e Reggio Emilia, Dipartimento di Economia "Marco Biagi".

    More about this item

    Keywords

    Private market equivalents; return on investment; Index Comparison Method; AROI; contradiction;

    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G31 - Financial Economics - - Corporate Finance and Governance - - - Capital Budgeting; Fixed Investment and Inventory Studies

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