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Incomplete Diversification And Asset Pricing

Author

Listed:
  • Robert Elliott

    (University of Calgary)

  • Dilip B. Madan

    (University of Maryland)

  • Frank Milne

    (Queen's University)

Abstract

Investors in equilibrium are modeled as facing investor specific risks across the space of assets.Personalized asset pricing models reflect these risks. Averaging across the pool of investors weobtain a market asset pricing model that reflects market risk exposures. It is observed on invokinga law of large numbers applied to an infinite population of investors, that many personally relevantrisk considerations can be eliminated from the market asset pricing model. Examples illustratingthe effects of undiversified labor income and taste specific price indices are provided. Suggestionsfor future work on asset pricing include a need to focus on identifying and explaining investorspecific risk exposures.

Suggested Citation

  • Robert Elliott & Dilip B. Madan & Frank Milne, 2002. "Incomplete Diversification And Asset Pricing," Working Paper 1081, Economics Department, Queen's University.
  • Handle: RePEc:qed:wpaper:1081
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    References listed on IDEAS

    as
    1. Dybvig, Philip H., 1983. "An explicit bound on individual assets' deviations from APT pricing in a finite economy," Journal of Financial Economics, Elsevier, vol. 12(4), pages 483-496, December.
    2. Judd, Kenneth L., 1985. "The law of large numbers with a continuum of IID random variables," Journal of Economic Theory, Elsevier, vol. 35(1), pages 19-25, February.
    3. Stephen A. Ross, 2013. "The Arbitrage Theory of Capital Asset Pricing," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 1, pages 11-30, World Scientific Publishing Co. Pte. Ltd..
    4. Grossman, Sanford J. & Shiller, Robert J., 1982. "Consumption correlatedness and risk measurement in economies with non-traded assets and heterogeneous information," Journal of Financial Economics, Elsevier, vol. 10(2), pages 195-210, July.
    5. Chen, Nai-Fu & Roll, Richard & Ross, Stephen A, 1986. "Economic Forces and the Stock Market," The Journal of Business, University of Chicago Press, vol. 59(3), pages 383-403, July.
    6. Milne, Frank, 1988. "Arbitrage and Diversification in a General Equilibrium Asset Economy," Econometrica, Econometric Society, vol. 56(4), pages 815-840, July.
    7. Breeden, Douglas T., 1979. "An intertemporal asset pricing model with stochastic consumption and investment opportunities," Journal of Financial Economics, Elsevier, vol. 7(3), pages 265-296, September.
    8. Merton, Robert C, 1973. "An Intertemporal Capital Asset Pricing Model," Econometrica, Econometric Society, vol. 41(5), pages 867-887, September.
    9. Madan, Dilip B., 1988. "Risk measurement in semimartingale models with multiple consumption goods," Journal of Economic Theory, Elsevier, vol. 44(2), pages 398-412, April.
    10. Grinblatt, Mark & Titman, Sheridan, 1983. "Factor pricing in a finite economy," Journal of Financial Economics, Elsevier, vol. 12(4), pages 497-507, December.
    11. Milne, Frank, 1976. "Default Risk in a General Equilibrium Asset Economy with Incomplete Markets," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 17(3), pages 613-625, October.
    12. Connor, Gregory, 1984. "A unified beta pricing theory," Journal of Economic Theory, Elsevier, vol. 34(1), pages 13-31, October.
    13. William F. Sharpe, 1964. "Capital Asset Prices: A Theory Of Market Equilibrium Under Conditions Of Risk," Journal of Finance, American Finance Association, vol. 19(3), pages 425-442, September.
    14. Ostroy, Joseph M., 1984. "On the existence of walrasian equilibrium in large-square economies," Journal of Mathematical Economics, Elsevier, vol. 13(2), pages 143-163, October.
    15. Feldman, Mark & Gilles, Christian, 1985. "An expository note on individual risk without aggregate uncertainty," Journal of Economic Theory, Elsevier, vol. 35(1), pages 26-32, February.
    16. Back, Kerry, 1991. "Asset pricing for general processes," Journal of Mathematical Economics, Elsevier, vol. 20(4), pages 371-395.
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    More about this item

    Keywords

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    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

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