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Chisini means and rational decision making: Equivalence of investment criteria

Author

Listed:
  • Magni, Carlo Alberto
  • Veronese, Piero
  • Graziani, Rebecca

Abstract

A plethora of tools are used for investment decisions and performance measurement, including Net Present Value (NPV), Internal Rate of Return (IRR), Profitability Index (PI), Modified Internal Rate of Return (MIRR), Average Accounting Rate of Return (AARR). All these and other known metrics are generally considered non-equivalent and some of them are regarded as unreliable or even naive. Building upon Magni (2010a, 2013)'s Average Internal Rate of Return (AIRR), we show that the notion of Chisini mean enables these tools to be used as rational decision criteria. Specifically, we focus on 11 metrics and show that, if properly used, they all provide equivalent accept-reject decisions and equivalent project rankings. Therefore, the intuitive notion of mean is the founding basis of investment decision criteria.

Suggested Citation

  • Magni, Carlo Alberto & Veronese, Piero & Graziani, Rebecca, 2017. "Chisini means and rational decision making: Equivalence of investment criteria," MPRA Paper 81532, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:81532
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    File URL: https://mpra.ub.uni-muenchen.de/81532/1/MPRA_paper_81532.pdf
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    References listed on IDEAS

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    1. Carlo Alberto Magni, 2009. "Accounting and economic measures:An integrated theory of capital budgeting," Centro Studi di Banca e Finanza (CEFIN) (Center for Studies in Banking and Finance) 0019, Universita di Modena e Reggio Emilia, Dipartimento di Economia "Marco Biagi".
    2. Borgonovo, E. & Gatti, S. & Peccati, L., 2010. "What drives value creation in investment projects? An application of sensitivity analysis to project finance transactions," European Journal of Operational Research, Elsevier, vol. 205(1), pages 227-236, August.
    3. Kenneth B. Gray, Jr. & Robert B. K. Dewar, 1971. "Axiomatic Characterization of the Time-Weighted Rate of Return," Management Science, INFORMS, vol. 18(2), pages 32-35, October.
    4. Wiesemann, Wolfram & Kuhn, Daniel & Rustem, Berç, 2010. "Maximizing the net present value of a project under uncertainty," European Journal of Operational Research, Elsevier, vol. 202(2), pages 356-367, April.
    5. Magni, Carlo Alberto, 2015. "Investment, financing and the role of ROA and WACC in value creation," European Journal of Operational Research, Elsevier, vol. 244(3), pages 855-866.
    6. Carlo Alberto Magni, 2010. "Average Internal Rate of Return and investment decisions: A new perspective," Centro Studi di Banca e Finanza (CEFIN) (Center for Studies in Banking and Finance) 0021, Universita di Modena e Reggio Emilia, Dipartimento di Economia "Marco Biagi".
    7. Carlo Alberto Magni, 2015. "Investment, financing and the role of ROA and WACC in value creation," Department of Economics 0050, University of Modena and Reggio E., Faculty of Economics "Marco Biagi".
    8. Kay, John A, 1976. "Accountants, Too, Could Be Happy in a Golden Age: The Accountant's Rate of Profit and the Internal Rate of Return," Oxford Economic Papers, Oxford University Press, vol. 28(3), pages 447-460, November.
    9. Magni, Carlo Alberto, 2016. "Capital depreciation and the underdetermination of rate of return: A unifying perspective," Journal of Mathematical Economics, Elsevier, vol. 67(C), pages 54-79.
    10. Jessica Lima e Silva & Vinicius Amorim Sobreiro & Herbert Kimura, 2018. "Prepurchase financing pool: Revealing the IRR problem," The Engineering Economist, Taylor & Francis Journals, vol. 63(2), pages 158-170, April.
    11. Graham, John R. & Harvey, Campbell R., 2001. "The theory and practice of corporate finance: evidence from the field," Journal of Financial Economics, Elsevier, vol. 60(2-3), pages 187-243, May.
    12. Remer, Donald S. & Nieto, Armando P., 1995. "A compendium and comparison of 25 project evaluation techniques. Part 1: Net present value and rate of return methods," International Journal of Production Economics, Elsevier, vol. 42(1), pages 79-96, November.
    13. Fisher, Franklin M & McGowan, John J, 1983. "On the Misuse of Accounting Rates of Return to Infer Monopoly Profits," American Economic Review, American Economic Association, vol. 73(1), pages 82-97, March.
    14. Graziani, Rebecca & Veronese, Piero, 2009. "How to Compute a Mean? The Chisini Approach and Its Applications," The American Statistician, American Statistical Association, vol. 63(1), pages 33-36.
    15. Carlo Alberto Magni, 2010. "Depreciation Classes, Return on Investment and Economic Profitability," Proyecciones Financieras y Valoración 7781, Master Consultores.
    16. Remer, Donald S. & Stokdyk, Scott B. & Van Driel, Mike, 1993. "Survey of project evaluation techniques currently used in industry," International Journal of Production Economics, Elsevier, vol. 32(1), pages 103-115, August.
    17. Carlo Alberto Magni, 2009. "Accounting and economic measures: an integrated theory of capital budgeting," PROYECCIONES FINANCIERAS Y VALORACION 005983, MASTER CONSULTORES.
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    Cited by:

    1. Magni, Carlo Alberto & Martin, John D., 2017. "The Reinvestment Rate Assumption Fallacy for IRR and NPV: A Pedagogical Note," MPRA Paper 83889, University Library of Munich, Germany.

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    More about this item

    Keywords

    Value creation; accept-reject decisions; project ranking; equivalence class; Net Present Value; Average Internal Rate of Return;
    All these keywords.

    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G3 - Financial Economics - - Corporate Finance and Governance
    • G31 - Financial Economics - - Corporate Finance and Governance - - - Capital Budgeting; Fixed Investment and Inventory Studies
    • M41 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Accounting - - - Accounting

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