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Decomposition of Net Final Values: Systemic Value Added and Residual Income

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  • Carlo Alberto Magni

Abstract

This paper proposes a model aiming at decomposing the Net Final Value of a project under certainty. It makes use of a systemic outlook: the investor's net worth is regarded as a dynamic system whose structure changes over time. On this basis, a profitability index is presented, here named Systemic Value Added (SVA), which lends itself to a periodic decomposition: the periodic shares formally translate the economic concept of residual income (or excess profit). While as an overall index the Systemic Value Added coincides with the Net Final Value (NFV) of an investment, the systemic partition of a SVA is shown to differ from the NFV decomposition model proposed by Peccati (1987, 1991, 1992), which in turn bears a strong resemblance to Stewart's (1991) EVA model. The SVA model and the NFV–based model bear interesting relations: by introducing the concept of a shadow project the SVA model can be re–shaped so that the decomposition of the SVA can be accomplished by applying Peccati's argument to the shadow project, or, which is the same, by computing the shadow project's Economic Value Added. The paper then generalizes the approach allowing for a portfolio of projects, multiple debts and multiple synchronic opportunity costs of capital, for which a tetra–dimensional decomposition is easily obtained.

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  • Carlo Alberto Magni, 2003. "Decomposition of Net Final Values: Systemic Value Added and Residual Income," Bulletin of Economic Research, Wiley Blackwell, vol. 55(2), pages 149-176, April.
    • Handle: RePEc:bla:buecrs:v:55:y:2003:i:2:p:149-176
    DOI: 10.1111/1467-8586.00167
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    References listed on IDEAS

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    1. Gronchi, Sandro, 1986. "On Investment Criteria Based on the Internal Rate of Return," Oxford Economic Papers, Oxford University Press, vol. 38(1), pages 174-180, March.
    2. Daniel Teichroew & Alexander A. Robichek & Michael Montalbano, 1965. "An Analysis of Criteria for Investment and Financing Decisions Under Certainty," Management Science, INFORMS, vol. 12(3), pages 151-179, November.
    3. J. Hirshleifer, 1958. "On the Theory of Optimal Investment Decision," Journal of Political Economy, University of Chicago Press, vol. 66(4), pages 329-329.
    4. Ezra Solomon, 1956. "The Arithmetic of Capital-Budgeting Decisions," The Journal of Business, University of Chicago Press, vol. 29, pages 124-124.
    5. Flavio Pressacco & Patrizia Stucchi, 1997. "Su Una Estensione Bidimensionale del Teorema di Scomposizione di Peccati," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 20(2), pages 169-185, September.
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    Cited by:

    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. Magni, Carlo Alberto, 2009. "Splitting up value: A critical review of residual income theories," European Journal of Operational Research, Elsevier, vol. 198(1), pages 1-22, October.
    3. Roberto Ghiselli Ricci & Carlo Alberto Magni, 2014. "Axiomatization of residual income and generation of financial securities," Quantitative Finance, Taylor & Francis Journals, vol. 14(7), pages 1257-1271, July.
    4. Magni, Carlo Alberto, 2004. "Modelling excess profit," Economic Modelling, Elsevier, vol. 21(3), pages 595-617, May.
    5. Carlo Alberto Magni, 2009. "Opportunity Cost, Excess Profit, and Counterfactual Conditionals," Frontiers in Finance and Economics, SKEMA Business School, vol. 6(1), pages 118-154, April.
    6. Magni, Carlo Alberto, 2004. "Rating and ranking firms with fuzzy expert systems: the case of Camuzzi," MPRA Paper 5889, University Library of Munich, Germany.
    7. Carlo Alberto Magni, 2006. "Zelig and the Art of Measuring Excess Profit," Frontiers in Finance and Economics, SKEMA Business School, vol. 3(1), pages 103-129, June.
    8. Carlo Alberto Magni, 2007. "A Sum&Discount Method for Appraising Firms: An Illustrative Example," Department of Economics 572, University of Modena and Reggio E., Faculty of Economics "Marco Biagi".
    9. Magni, Carlo Alberto, 2005. "On decomposing net final values: EVA, SVA, and shadow project," MPRA Paper 12357, University Library of Munich, Germany.
    10. Magni, Carlo Alberto, 2007. "Measuring performance and valuing firms: In search of the lost capital," MPRA Paper 5850, University Library of Munich, Germany.
    11. Magni, Carlo Alberto, 2010. "Residual income and value creation: An investigation into the lost-capital paradigm," European Journal of Operational Research, Elsevier, vol. 201(2), pages 505-519, March.
    12. Magni, Carlo Alberto, 2005. "Economic profit, NPV, and CAPM: Biases and violations of Modigliani and Miller's Proposition I," MPRA Paper 7359, University Library of Munich, Germany, revised 27 Feb 2008.

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