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Axiomatization of residual income and generation of financial securities

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  • Ghiselli Ricci, Roberto
  • Magni, Carlo Alberto

Abstract

This paper presents an axiomatization of residual income, aka excess profit, and illustrates how it may univocally engenders fixed-income or variable-income assets. In the first part it is shown that, depending on the relations between excess profit and the investor's excess wealth, a well-specified theory of residual income is generated: one is the standard theory, which historically traces back to Hamilton (1777) and Marshall (1890) and is a deep-rooted notion in economic theory, finance, and accounting. Another one is the systemic value added or lost-capital paradigm: introduced in Magni (2000, 2003), the theory is enfolded in Keynes's (1936) notion of user cost and is naturally generated by an arbitrage-theory perspective. In the second part, the paper reverts the usual analysis: instead of computing residual incomes profits from a pattern of cash flows, residual incomes are fixed first to derive vectors of cash flows. It is shown that variable- or fixed-income assets may be constructed on the basis of either theory starting from pre-determined growth rates for excess profit. In particular, zero-coupon bonds and coupon bonds traded in a capital market are shown to be deducted as equilibrium vectors of residual-income-based assets.

Suggested Citation

  • Ghiselli Ricci, Roberto & Magni, Carlo Alberto, 2009. "Axiomatization of residual income and generation of financial securities," MPRA Paper 14438, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:14438
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    References listed on IDEAS

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    1. Weingartner, H. Martin, 1966. "The Generalized Rate of Return," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 1(03), pages 1-29, September.
    2. Boadway, Robin & Bruce, Neil, 1984. "A general proposition on the design of a neutral business tax," Journal of Public Economics, Elsevier, vol. 24(2), pages 231-239, July.
    3. Gallo, Paolo & Peccati, Lorenzo, 1993. "The appraisal of industrial investments: A new method and a case study," International Journal of Production Economics, Elsevier, vol. 30(1), pages 465-476, July.
    4. 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.
    5. Paul A. Samuelson, 1964. "Tax Deductibility of Economic Depreciation to Insure Invariant Valuations," Journal of Political Economy, University of Chicago Press, vol. 72, pages 604-604.
    6. 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.
    7. 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.
    8. 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.
    9. Ran Barniv & Mark Myring, 2006. "An International Analysis of Historical and Forecast Earnings in Accounting-Based Valuation Models," Journal of Business Finance & Accounting, Wiley Blackwell, vol. 33(7-8), pages 1087-1109.
    10. 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.
    11. Wagner, Alfred, 1891. "Marshall's Principles of Economics," History of Economic Thought Articles, McMaster University Archive for the History of Economic Thought, vol. 5, pages 319-338.
    12. Stanley Garstka & William Goetzmann, 1999. "The Development Of Corporate Performance Measures: Benchmarks Before EVA," Yale School of Management Working Papers ysm121, Yale School of Management, revised 01 Jan 2001.
    13. Magni, Carlo Alberto, 2005. "On decomposing net final values: EVA, SVA, and shadow project," MPRA Paper 12357, University Library of Munich, Germany.
    14. 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.
    15. Richard P. Brief, 2007. "Accounting Valuation Models: A Short Primer," Abacus, Accounting Foundation, University of Sydney, vol. 43(4), pages 429-437.
    16. Thomas Pfeiffer, 2004. "Net Present Value-Consistent Investment Criteria Based on Accruals: A Generalisation of the Residual Income-Identity," Journal of Business Finance & Accounting, Wiley Blackwell, vol. 31(7-8), pages 905-926.
    17. Peter Sørensen, 1994. "From the global income tax to the dual income tax: Recent tax reforms in the Nordic countries," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 1(1), pages 57-79, February.
    18. Roberto Ghiselli Ricci & Carlo Alberto Magni, 2006. "Economic value added and systemic value added: symmetry, additive coherence and differences in performance," Applied Financial Economics Letters, Taylor and Francis Journals, vol. 2(3), pages 151-154, May.
    19. 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.
    20. 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).
    21. Ignacio Velez-Pareja, 2001. "Economic Value Measurement: Investment Recovery and Value Added - IRVA," PROYECCIONES FINANCIERAS Y VALORACION 002404, MASTER CONSULTORES.
    22. Hicks, J. R., 1975. "Value and Capital: An Inquiry into some Fundamental Principles of Economic Theory," OUP Catalogue, Oxford University Press, edition 2, number 9780198282693.
    23. Carlo Magni, 2005. "On Decomposing Net Final Values: Eva, Sva and Shadow Project," Theory and Decision, Springer, vol. 59(1), pages 51-95, August.
    24. 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.
    25. 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, 2016. "Capital depreciation and the underdetermination of rate of return: A unifying perspective," Journal of Mathematical Economics, Elsevier, vol. 67(C), pages 54-79.

    More about this item

    Keywords

    Residual income; excess profit; capital; arbitrage; bond;

    JEL classification:

    • D53 - Microeconomics - - General Equilibrium and Disequilibrium - - - Financial Markets
    • 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
    • G00 - Financial Economics - - General - - - General
    • M21 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Economics - - - Business Economics
    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General

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