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In search of the "lost capital". A theory for valuation, investment decisions, performance measurement

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Author Info
Magni, Carlo Alberto

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Abstract

This paper presents a theoretical framework for valuation, investment decisions, and performance measurement based on a nonstandard theory of residual income. It is derived from the notion of "unrecovered" capital, which is here named "lost" capital because it represents the capital foregone by the investors. Its theoretical strength and meaningfulness is shown by deriving it from four main perspectives: financial, microeconomic, axiomatic, accounting. Implications for asset valuation, capital budgeting and performance measurement are investigated. In particular: an aggregation property is shown, which makes the simple average residual income play a major role in valuation; a dual relation between the standard theory and the lost-capital theory is proved, clarifying the way periodic performance is computed in the two paradigms and the rationale for measuring performance with either paradigm; the average accounting rate of return is shown to be more reliable than the internal rate of return as a capital budgeting criterion, and maximization of the average residual income is shown to be equivalent to maximization of Net Present Value (NPV). Two metrics are also presented: one enjoys the nice property of robust goal congruence irrespective of the sign of the cash flows; the other one enjoys periodic consistency in the sense of Egginton (1995). The results obtained suggest that this theory might prove useful for real-life applications in fi rm valuation, capital budgeting decision-making, ex ante and ex post performance measurement, incentive compensation. A numerical example illustrates the implementation of the paradigm to the EVA model and the Edwards-Bell-Ohlson model.

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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 5719.

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Date of creation: Sep 2007
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Handle: RePEc:pra:mprapa:5719

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Related research
Keywords: Residual income; valuation; capital budgeting; performance measurement; lost capital; accounting rate; average; Economic Value Added.;

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Find related papers by JEL classification:
G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
G31 - Financial Economics - - Corporate Finance and Governance - - - Capital Budgeting; Investment Policy
G34 - Financial Economics - - Corporate Finance and Governance - - - Mergers; Acquisitions; Restructuring; Corporate Governance
M40 - Business Administration and Business Economics; Marketing; Accounting - - Accounting - - - General
G30 - Financial Economics - - Corporate Finance and Governance - - - General
M52 - Business Administration and Business Economics; Marketing; Accounting - - Personnel Economics - - - Compensation and Compensation Methods and Their Effects
G12 - Financial Economics - - General Financial Markets - - - Asset Pricing
M41 - Business Administration and Business Economics; Marketing; Accounting - - Accounting - - - Accounting

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Carlo Alberto Magni, 2003. "Decomposition of Net Final Values: Systemic Value Added and Residual Income," Bulletin of Economic Research, Blackwell Publishing, vol. 55(2), pages 149-176, 04. [Downloadable!] (restricted)
  2. Carlo Magni, 2005. "On Decomposing Net Final Values: Eva, Sva and Shadow Project," Theory and Decision, Springer, vol. 59(1), pages 51-95, 08. [Downloadable!] (restricted)
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  3. Richard S Ruback, 2002. "Capital Cash Flows: A Simple Approach to Valuing Risky Cash Flows," Financial Management, Financial Management Association, vol. 31(2), Summer.
  4. Fieten, Paul & Kruschwitz, Lutz & Laitenberger, Jorg & Loffler, Andreas & Tham, Joseph & Velez-Pareja, Ignacio & Wonder, Nicholas, 2005. "Comment on "The value of tax shields is NOT equal to the present value of tax shields"," The Quarterly Review of Economics and Finance, Elsevier, vol. 45(1), pages 184-187, February. [Downloadable!] (restricted)
  5. Joseph Tham & Ignacio Velez-Pareja, 2000. "The Correct Discount Rate for the Tax Shield: The N-period Case," MEDICION EVALUACION DEL VALOR 003578, POLITÉCNICO GRANCOLOMBIANO. [Downloadable!]
  6. 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. [Downloadable!] (restricted)
  7. Magni, Carlo Alberto, 2000. "Systemic Value Added, Residual Income and Decomposition of a Cash Flow Stream," MPRA Paper 5900, University Library of Munich, Germany. [Downloadable!]
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Carlo Alberto, Magni, 2008. "Splitting Up Value: A Critical Review of Residual Income Theories," MPRA Paper 10506, University Library of Munich, Germany. [Downloadable!]
    Other versions:
  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". [Downloadable!]
    Other versions:
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