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Measuring performance and valuing firms: In search of the lost capital

  • Magni, Carlo Alberto

Residual income as commonly described in academic papers and in real-life applications may be formally described as a function of three variables: (i) the capital invested, (ii) the rate of return, (iii) the opportunity cost of capital. This paper shows that a different paradigm of residual income is generated if a fourth element is added: (iv) the capital that investors lose if they infuse their funds into the firm (or project). The lost-capital paradigm has various interesting economic, nancial, accounting interpretations and bears intriguing formal and conceptual relations to the standard paradigm. It may be soundly employed in real-life applications as a tool for rewarding managers as well as for appraising firms. Firm value is shown to be a function of total abnormal earnings and independent of time, if the new paradigm is used: what matters is only the book value and the sum of total expected residual incomes, not the periods in which they are generated. This aggregation property is particular important for highlighting the link between accounting values and market values. A numerical example illustrates the practical implementation of the new paradigm to the Economic Value Added and the Edwards-Bell-Ohlson model; also, a model is presented which has the nice property of being aligned in sign with the Net Present Value: this makes it a good candidate for use in value-based management.

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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 5850.

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Date of creation: Sep 2007
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Handle: RePEc:pra:mprapa:5850
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  1. Stephen F. O'Byrne & S. David Young, 2006. "Incentives and Investor Expectations," Journal of Applied Corporate Finance, Morgan Stanley, vol. 18(2), pages 98-105.
  2. Richard S Ruback, 2002. "Capital Cash Flows: A Simple Approach to Valuing Risky Cash Flows," Financial Management, Financial Management Association, vol. 31(2), Summer.
  3. Myers, Stewart C, 1974. "Interactions of Corporate Financing and Investment Decisions-Implications for Capital Budgeting," Journal of Finance, American Finance Association, vol. 29(1), pages 1-25, March.
  4. Magni, Carlo Alberto, 2005. "On decomposing net final values: EVA, SVA, and shadow project," MPRA Paper 12357, University Library of Munich, Germany.
  5. 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, 04.
  6. Magni, Carlo Alberto, 2000. "Systemic Value Added, Residual Income and Decomposition of a Cash Flow Stream," MPRA Paper 5900, University Library of Munich, Germany.
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