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Exact Arbitrage Well-Diversified Potfolios and Asset Pricing in Large Markets

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  • M Ali Khan
  • Yeneng Sun

Abstract

For market with an atomless continuum of assets, we formulate the intuitive idea of a "well-diversified" portfolio, and present a notion of "exact arbitrage", strictly weaker than the more conventional notion of "asymptotic arbitrage", and necessary and sufficient for the validity of an APT pricing formula. One formula involves "essential" risk based on a specific index portfolio constructed from factors and factor loadings that are endogenously extracted to satisfy an optimality property involving a finite number of factors. We illustrate how our results can be translated to markets with a large but finite number of assets.

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  • M Ali Khan & Yeneng Sun, 2002. "Exact Arbitrage Well-Diversified Potfolios and Asset Pricing in Large Markets," Economics Working Paper Archive 483, The Johns Hopkins University,Department of Economics.
    • Handle: RePEc:jhu:papers:483
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    References listed on IDEAS

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    Cited by:

    1. Birge, John R. & Yang, Song, 2007. "A model for tax advantages of portfolios with many assets," Journal of Banking & Finance, Elsevier, vol. 31(11), pages 3269-3290, November.
    2. Chen Zhang & Wei Yan, 2019. "Spot Market Mechanism Design for the Electricity Market in China Considering the Impact of a Contract Market," Energies, MDPI, vol. 12(6), pages 1-23, March.
    3. Laurence Carassus & Miklos Rasonyi, 2019. "Risk-neutral pricing for APT," Papers 1904.11252, arXiv.org, revised Oct 2020.
    4. Laurence Carassus & Miklós Rásonyi, 2020. "Risk-Neutral Pricing for Arbitrage Pricing Theory," Journal of Optimization Theory and Applications, Springer, vol. 186(1), pages 248-263, July.
    5. Michailidis, G., 2009. "Multivariate methods in examining macroeconomic variables effect on Greek stock market returns, 1997-2004," Applied Econometrics and International Development, Euro-American Association of Economic Development, vol. 9(1).

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