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Residual income and value creation: An investigation into the lost-capital paradigm

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  • Magni, Carlo Alberto

Abstract

This paper presents a new way of measuring residual income, originally introduced by Magni (2000a,b,c, 2001a,b, 2003). Contrary to the standard residual income, the capital charge is equal to the capital lost by investors multiplied by the cost of capital. The lost capital may be viewed as (a) the foregone capital, (b) the capital implicitly infused into the business, (c) the outstanding capital of a shadow project, (d) the claimholders' credit. Relations of the lost capital with book values and market values are studied, as well as relations of the lost capital residual income with the classical standard paradigm; many appealing properties are derived, among which an aggregation property. Different concepts and results, provided by different authors in such different fields as economic theory, management accounting and corporate finance, are considered: O'Hanlon and Peasnell's (2002) unrecovered capital and Excess Value Created; Ohlson's (2005) Abnormal Earnings Growth; O'Byrne's (1997) EVA improvement; Miller and Modigliani's (1961) investment opportunities approach to valuation; Young and O'Byrne's (2001) Adjusted EVA; Keynes's (1936) user cost; Drukarczyk and Schueler's (2000) Net Economic Income; Fernández's (2002) Created Shareholder Value; Anthony's (1975) profit. They are all conveniently reinterpreted within the theoretical domain of the lost-capital paradigm and conjoined in a unified view. The results found make this new theoretical approach a good candidate for firm valuation, capital budgeting decision-making, managerial incentives and control.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:ejores:v:201:y:2010:i:2:p:505-519
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    1. Magni, Carlo Alberto, 2005. "On decomposing net final values: EVA, SVA, and shadow project," MPRA Paper 12357, University Library of Munich, Germany.
    2. Richard P. Brief, 2007. "Accounting Valuation Models: A Short Primer," Abacus, Accounting Foundation, University of Sydney, vol. 43(4), pages 429-437, December.
    3. Cooper, Ian A. & Nyborg, Kjell G., 2006. "The value of tax shields IS equal to the present value of tax shields," Journal of Financial Economics, Elsevier, vol. 81(1), pages 215-225, July.
    4. Enrique R. Arzac & Lawrence R. Glosten, 2005. "A Reconsideration of Tax Shield Valuation," European Financial Management, European Financial Management Association, vol. 11(4), pages 453-461, September.
    5. Richard S Ruback, 2002. "Capital Cash Flows: A Simple Approach to Valuing Risky Cash Flows," Financial Management, Financial Management Association, vol. 31(2), Summer.
    6. 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.
    7. Weaver, Samuel C. & Weston, J. Fred, 2003. "A Unifying Theory of Value Based Management," University of California at Los Angeles, Anderson Graduate School of Management qt0xw5m9mz, Anderson Graduate School of Management, UCLA.
    8. Grinyer, John R & Walker, Martin, 1990. "Deprival Value-Based Accounting Rates of Return under Uncertainty: A Note," Economic Journal, Royal Economic Society, vol. 100(402), pages 918-922, September.
    9. Rogerson, William P, 1997. "Intertemporal Cost Allocation and Managerial Investment Incentives: A Theory Explaining the Use of Economic Value Added as a Performance Measure," Journal of Political Economy, University of Chicago Press, vol. 105(4), pages 770-795, August.
    10. 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.
    11. 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, March.
    12. Tim Baldenius & Stefan Reichelstein, 2005. "Incentives for Efficient Inventory Management: The Role of Historical Cost," Management Science, INFORMS, vol. 51(7), pages 1032-1045, July.
    13. 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.
    14. Diran Bodenhorn, 1959. "On The Problem Of Capital Budgeting," Journal of Finance, American Finance Association, vol. 14(4), pages 473-492, December.
    15. 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.
    16. 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.
    17. Gunther Friedl, 2005. "Incentive Properties of Residual Income When There is an Option to Wait," Schmalenbach Business Review (sbr), LMU Munich School of Management, vol. 57(1), pages 3-21, January.
    18. Magni, Carlo Alberto, 2000. "Systemic Value Added, Residual Income and Decomposition of a Cash Flow Stream," MPRA Paper 5900, University Library of Munich, Germany.
    19. Robert S. Harris & John J. Pringle, 1985. "Risk-Adjusted Discount Rates-Extensions From The Average-Risk Case," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 8(3), pages 237-244, September.
    20. 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.
    21. Hagemeister, Meike & Kempf, Alexander, 2007. "CAPM und erwartete Renditen: Eine Untersuchung auf Basis der Erwartung von Marktteilnehmern," CFR Working Papers 07-01, University of Cologne, Centre for Financial Research (CFR).
    22. Ignacio Velez-Pareja & Joseph Tham, 2003. "Do the RIM (Residual Income Model), EVA® and DCF (Discounted Cash Flow) Really Match?," Proyecciones Financieras y Valoración 2379, Master Consultores.
    23. Magni, Carlo Alberto, 2007. "Relevance or irrelevance of retention for dividend policy irrelevance," MPRA Paper 5591, University Library of Munich, Germany.
    24. Magni, Carlo Alberto, 2004. "Modelling excess profit," Economic Modelling, Elsevier, vol. 21(3), pages 595-617, May.
    25. Fernandez, Pablo, 2002. "Valuation Methods and Shareholder Value Creation," Elsevier Monographs, Elsevier, edition 1, number 9780122538414.
    26. A. A. Robichek & D. Teichroew & J. M. Jones, 1965. "Optimal Short Term Financing Decision," Management Science, INFORMS, vol. 12(1), pages 1-36, September.
    27. Rick Antle & Gary D. Eppen, 1985. "Capital Rationing and Organizational Slack in Capital Budgeting," Management Science, INFORMS, vol. 31(2), pages 163-174, February.
    28. 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.
    29. Carlo Magni, 2005. "On Decomposing Net Final Values: Eva, Sva and Shadow Project," Theory and Decision, Springer, vol. 59(1), pages 51-95, August.
    30. Sunil Dutta & Xiao‐jun Zhang, 2002. "Revenue Recognition in a Multiperiod Agency Setting," Journal of Accounting Research, Wiley Blackwell, vol. 40(1), pages 67-83, March.
    31. Andrew W. Stark, 2000. "Real Options, (Dis)Investment Decision-Making and Accounting Measures of Performance," Journal of Business Finance & Accounting, Wiley Blackwell, vol. 27(3-4), pages 313-331.
    32. James E. Walter, 1956. "Dividend Policies And Common Stock Prices," Journal of Finance, American Finance Association, vol. 11(1), pages 29-41, March.
    33. Stoughton, Neal & Zechner, Josef, 1999. "Optimal Capital Allocation Using RAROC And EVA," CEPR Discussion Papers 2344, C.E.P.R. Discussion Papers.
    34. 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.
    35. Stoughton, Neal M. & Zechner, Josef, 2007. "Optimal capital allocation using RAROC(TM) and EVA(R)," Journal of Financial Intermediation, Elsevier, vol. 16(3), pages 312-342, July.
    36. Andrew W. Stark, 2000. "Real Options, (Dis)Investment Decision-Making and Accounting Measures of Performance," Journal of Business Finance & Accounting, Wiley Blackwell, vol. 27(3&4), pages 313-331.
    37. Merton H. Miller & Franco Modigliani, 1961. "Dividend Policy, Growth, and the Valuation of Shares," The Journal of Business, University of Chicago Press, vol. 34, pages 411-411.
    38. James Claus & Jacob Thomas, 2001. "Equity Premia as Low as Three Percent? Evidence from Analysts' Earnings Forecasts for Domestic and International Stock Markets," Journal of Finance, American Finance Association, vol. 56(5), pages 1629-1666, October.
    39. Thomas Pfeiffer & Georg Schneider, 2007. "Residual Income-Based Compensation Plans for Controlling Investment Decisions Under Sequential Private Information," Management Science, INFORMS, vol. 53(3), pages 495-507, March.
    40. DeAngelo, Harry & DeAngelo, Linda, 2006. "The irrelevance of the MM dividend irrelevance theorem," Journal of Financial Economics, Elsevier, vol. 79(2), pages 293-315, February.
    41. P. H. Karmel, 1959. "The Marginal Efficiency Of Capital," The Economic Record, The Economic Society of Australia, vol. 35(72), pages 429-434, December.
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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. Hechmi Soumaya, 2013. "Eva versus Other Performance Measures," Asian Economic and Financial Review, Asian Economic and Social Society, vol. 3(4), pages 532-541, April.
    4. 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.
    5. Carlo Alberto Magni, 2016. "An Average-Based Accounting Approach to Capital Asset Investments: The Case of Project Finance," European Accounting Review, Taylor & Francis Journals, vol. 25(2), pages 275-286, June.
    6. 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".
    7. repec:rej:journl:v:15:y:2012:i:45:p:3-26 is not listed on IDEAS
    8. Schosser, Josef, 2019. "Consistency between principal and agent with differing time horizons: Computing incentives under risk," European Journal of Operational Research, Elsevier, vol. 277(3), pages 1113-1123.
    9. Carlo Alberto Magni, 2016. "An Average-Based Accounting Approach to Capital Asset Investments: The Case of Project Finance," European Accounting Review, Taylor & Francis Journals, vol. 25(2), pages 275-286, June.

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    More about this item

    Keywords

    Accounting Corporate finance Residual income Value creation Management Incentive compensation Lost-capital Net Present Value Book value Market value;

    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G31 - Financial Economics - - Corporate Finance and Governance - - - Capital Budgeting; Fixed Investment and Inventory Studies
    • D40 - Microeconomics - - Market Structure, Pricing, and Design - - - General
    • M52 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Personnel Economics - - - Compensation and Compensation Methods and Their Effects
    • G30 - Financial Economics - - Corporate Finance and Governance - - - General
    • M40 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Accounting - - - General
    • D46 - Microeconomics - - Market Structure, Pricing, and Design - - - Value Theory
    • M41 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Accounting - - - Accounting
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G0 - Financial Economics - - General
    • M - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics

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