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Axiomatization of residual income and generation of financial securities

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Ghiselli Ricci, Roberto
Magni, Carlo Alberto

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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.

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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 14438.

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Date of creation: 02 Apr 2009
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Handle: RePEc:pra:mprapa:14438

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Related research
Keywords: Residual income; excess profit; capital; arbitrage; bond;

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Find related papers by JEL classification:
D53 - Microeconomics - - General Equilibrium and Disequilibrium - - - Financial Markets
G12 - Financial Economics - - General Financial Markets - - - Asset Pricing
M41 - Business Administration and Business Economics; Marketing; Accounting - - Accounting - - - Accounting
G31 - Financial Economics - - Corporate Finance and Governance - - - Capital Budgeting; Investment Policy
G00 - Financial Economics - - General - - - General
M21 - Business Administration and Business Economics; Marketing; Accounting - - Business Economics - - - Business Economics
C60 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - General

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  1. Ran Barniv & Mark Myring, 2006. "An International Analysis of Historical and Forecast Earnings in Accounting-Based Valuation Models," Journal of Business Finance & Accounting, Blackwell Publishing, vol. 33(7-8), pages 1087-1109. [Downloadable!] (restricted)
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  5. Thomas Pfeiffer, 2004. "Net Present Value-Consistent Investment Criteria Based on Accruals: A Generalisation of the Residual Income-Identity," Journal of Business Finance & Accounting, Blackwell Publishing, vol. 31(7-8), pages 905-926. [Downloadable!] (restricted)
  6. 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, vol. 1(1), pages 57-79, February. [Downloadable!] (restricted)
  7. 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. [Downloadable!]
  8. 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. [Downloadable!] (restricted)
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  9. Ignacio Velez-Pareja, 2001. "Economic Value Measurement: Investment Recovery and Value Added - IRVA," MEDICION EVALUACION DEL VALOR 002404, POLITÉCNICO GRANCOLOMBIANO. [Downloadable!]
  10. Flavio Pressacco & Patrizia Stucchi, 1997. "Su Una Estensione Bidimensionale del Teorema di Scomposizione di Peccati," Decisions in Economics and Finance, Springer, vol. 20(2), pages 169-185, September. [Downloadable!] (restricted)
  11. 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 770-95, August.
  12. 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. [Downloadable!] (restricted)
  13. 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. [Downloadable!] (restricted)
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