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Systemic Value Added, Residual Income and Decomposition of a Cash Flow Stream


  • Magni, Carlo Alberto


The problem of decomposing a cash flow has been treated in recent years by Gronchi (1986, 1987), Peccati (1987, 1991, 1992), Stewart (1991), Pressacco and Stucchi (1997). After showing that the Economic Value Added introduced by Stewart bears a strong resemblance to (and in some conditions coincides with) the periodic Net Present (or Final) Value in Peccati's model and that Pressacco-Stucchi's model can be seen as a formal generalization of Stewart's model, this paper proposes a different decomposition model introducing the Systemic Value Added, which lends itself to a disaggregation in periodic shares whose uncompounded sum coincides with Peccati's and Pressacco-Stucchi's Net Final Value. The model proposed offers the opportunity to dwell on the notion of residual income, showing that the interpretation given by the three previous models fails to explain the correct evolution of the investor's financial system. The evaluation process is then reshaped by introducing the concept of shadow project, by means of which Peccati's and Stewart's model can be retrieved. Pressacco-Stucchi's model can also be retrieved and generalized and some of its assumptions are relaxed. The formal results in the last section provide sufficient and necessary conditions for integrating all models in the systemic framework here adopted. Finally, some hints shows that the results Pressacco and Stucchi obtain can be proved by using the systemic approach here suggested.

Suggested Citation

  • Magni, Carlo Alberto, 2000. "Systemic Value Added, Residual Income and Decomposition of a Cash Flow Stream," MPRA Paper 5900, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:5900

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    References listed on IDEAS

    1. Magni, Carlo Alberto, 2000. "Decomposition of a Certain Cash Flow Stream: Differential Systemic Value and Net Final Value," MPRA Paper 7308, University Library of Munich, Germany.
    2. 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.
    3. Magni, Carlo Alberto, 2000. "Scomposizione di sovraprofitti: Economic Value Added e Valore Aggiunto Sistemico
      [Excess-profit decomposition: Economic Value Added and Systemic Value Added]
      ," MPRA Paper 8935, University Library of Munich, Germany.
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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. 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".
    3. Magni, Carlo Alberto, 2001. "Valore Aggiunto Sistemico: un'alternativa all'EVA quale indice di sovraprofitto periodale," MPRA Paper 7525, University Library of Munich, Germany.
    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, 2009. "Opportunity Cost, Excess Profit, and Counterfactual Conditionals," Frontiers in Finance and Economics, SKEMA Business School, vol. 6(1), pages 118-154, April.

    More about this item


    Residual income; cash flow; Net Final Value; Systemic Value Added;

    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • C00 - Mathematical and Quantitative Methods - - General - - - General
    • G31 - Financial Economics - - Corporate Finance and Governance - - - Capital Budgeting; Fixed Investment and Inventory Studies
    • M40 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Accounting - - - General


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