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Axiomatization of residual income and generation of financial securities

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  • Roberto Ghiselli Ricci
  • Carlo Alberto Magni

Abstract

This paper presents an axiomatization of residual income, also known as excess profit, and illustrates how it can univocally give rise to 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 and Marshall and is a deep-rooted notion in economic theory, finance, and accounting. Another is the systemic value added or lost-capital paradigm : first introduced by Magni, the theory is enfolded in Keynes's notion of user cost and is naturally generated by an arbitrage-theory perspective. In the second part, the paper inverts the usual analysis: instead of computing residual incomes 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 residual income. In particular, zero-coupon bonds and coupon bonds traded in a capital market are shown to be deduced as equilibrium vectors of residual-income-based assets.

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  • 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.
    • Handle: RePEc:taf:quantf:v:14:y:2014:i:7:p:1257-1271
    DOI: 10.1080/14697688.2012.717415
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    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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