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Exact arbitrage and portfolio analysis in large asset markets

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Author Info
M. Ali Khan
Yeneng Sun

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Abstract

We provide a detailed portfolio analysis for a financial market with an atomless continuum of assets. In the context of an exact arbitrage pricing theory (EAPT), we go beyond the characterization of the existence of important portfolios (normalized riskless, mean, cost, factor and mean-variance efficient portfolios) to furnish exact portfolio compositions in terms of explicit portfolio weights. Such an analysis has not been furnished before in the context of the asymptotic arbitrage pricing theory (APT). We also characterize conditions under which a mean-variance efficient portfolio is a benchmark portfolio used in the EAPT to proxy essential risk. We illustrate our results with several examples of specific financial markets. Copyright Springer-Verlag Berlin Heidelberg 2003

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File URL: http://hdl.handle.net/10.1007/s001990200328
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Publisher Info
Article provided by Springer in its journal Economic Theory.

Volume (Year): 22 (2003)
Issue (Month): 3 (October)
Pages: 495-528
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Handle: RePEc:spr:joecth:v:22:y:2003:i:3:p:495-528

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Related research
Keywords: Keywords and Phrases: Exact arbitrage; Portfolio weights; Well-diversified portfolio; Mean-variance efficient portfolio; Mean; cost and factor portfolios; Loeb measure space.; JEL Classification Numbers: G12; C60.;

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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. Khan, M. Ali & Sun, Yeneng, 2001. "Asymptotic Arbitrage and the APT with or without Measure-Theoretic Structures," Journal of Economic Theory, Elsevier, vol. 101(1), pages 222-251, November. [Downloadable!] (restricted)
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  2. Sun, Yeneng, 1998. "A theory of hyperfinite processes: the complete removal of individual uncertainty via exact LLN1," Journal of Mathematical Economics, Elsevier, vol. 29(4), pages 419-503, May. [Downloadable!] (restricted)
  3. Ross, Stephen A., 1976. "The arbitrage theory of capital asset pricing," Journal of Economic Theory, Elsevier, vol. 13(3), pages 341-360, December. [Downloadable!] (restricted)
  4. M. Ali Khan & Yeneng Sun, 1999. "Weak measurability and characterizations of risk," Economic Theory, Springer, vol. 13(3), pages 541-560. [Downloadable!] (restricted)
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This page was last updated on 2009-11-25.


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