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On decomposing net final values: EVA, SVA, and shadow project

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  • Magni, Carlo Alberto

Abstract

A residual-income model, named Systemic Value Added (SVA), is proposed for decision-making purposes, based on a systemic approach introduced in Magni (2000, 2003, 2004). The model translates the notion of residual income (excess profit) giving formal expression to a counterfactual alternative available to the decision maker. Relations with other residual income models are studied, among which Stewart's Economic Value Added. The index here introduced differs from EVA in that it rests on a different interpretation of the notion of excess profit and is formally connected with the EVA model by means of a shadow project. The SVA is formally and conceptually threefold, in that it is economic, financial, accounting-flavoured. Some results are offered, providing su±cient and necessary conditions for decomposing Net Final Values. Relations between a project's SVA and its shadow project's EVA are shown, all results of Pressacco and Stucchi (1997) are proved by making use of the systemic approach and the shadow counterparts of those results are also shown.

Suggested Citation

  • Magni, Carlo Alberto, 2005. "On decomposing net final values: EVA, SVA, and shadow project," MPRA Paper 12357, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:12357
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    File URL: https://mpra.ub.uni-muenchen.de/12357/1/MPRA_paper_12357.pdf
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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. 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. 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.
    4. 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.
    5. Gary C. Biddle & Robert M. Bowen & James S. Wallace, 1999. "Evidence On Eva," Journal of Applied Corporate Finance, Morgan Stanley, vol. 12(2), pages 69-79, June.
    6. Daniel Teichroew & Alexander A. Robichek & Michael Montalbano, 1965. "Mathematical Analysis of Rates of Return Under Certainty," Management Science, INFORMS, vol. 11(3), pages 395-403, January.
    7. Ezra Solomon, 1956. "The Arithmetic of Capital-Budgeting Decisions," The Journal of Business, University of Chicago Press, vol. 29, pages 124-124.
    8. 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. 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.
    2. 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.
    3. 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.
    4. Magni, Carlo Alberto, 2007. "Measuring performance and valuing firms: In search of the lost capital," MPRA Paper 5850, University Library of Munich, Germany.
    5. 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.
    6. 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".
    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. 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.
    9. 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.

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    More about this item

    Keywords

    Excess profit; residual icome; net final value; decomposition; EVA; SVA; systemic; shadow project;
    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
    • M41 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Accounting - - - Accounting
    • G31 - Financial Economics - - Corporate Finance and Governance - - - Capital Budgeting; Fixed Investment and Inventory Studies
    • C00 - Mathematical and Quantitative Methods - - General - - - General

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