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Heterogeneity of Investors and Asset Pricing in a Risk-Value World

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  • Franke, Günter
  • Weber, Martin

Abstract

Portfolio choice and the implied asset pricing are usually derived assuming maximization of expected utility. In this Paper, they are derived from risk-value models that generalize the Markowitz-model. We use a behaviourally based risk measure with an endogenous or exogenous benchmark. If the risk measure is modelled by a negative HARA-function, then sharing rules are convex or concave relative to each other. A measure of heterogeneity of investors is derived. More heterogeneity (a) raises convexity/concavity of sharing rules and, thus, the need of investors to trade options, (b) increases convexity of the pricing kernel, (c) raises option prices relative to the price of the under-lying asset and (d) raises the variance and kurtosis of the risk-neutral probability distribution of the aggregate pay-off.
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  • Franke, Günter & Weber, Martin, 2001. "Heterogeneity of Investors and Asset Pricing in a Risk-Value World," CoFE Discussion Papers 01/08, University of Konstanz, Center of Finance and Econometrics (CoFE).
    • Handle: RePEc:zbw:cofedp:0108
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    as
    1. Benninga, Simon & Blume, Marshall E, 1985. "On the Optimality of Portfolio Insurance," Journal of Finance, American Finance Association, vol. 40(5), pages 1341-1352, December.
    2. Mehra, Rajnish & Prescott, Edward C., 1985. "The equity premium: A puzzle," Journal of Monetary Economics, Elsevier, vol. 15(2), pages 145-161, March.
    3. Tuomo Vuolteenaho, 2002. "What Drives Firm‐Level Stock Returns?," Journal of Finance, American Finance Association, vol. 57(1), pages 233-264, February.
    4. Daniel Kahneman & Peter P. Wakker & Rakesh Sarin, 1997. "Back to Bentham? Explorations of Experienced Utility," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 112(2), pages 375-406.
    5. Kimball, Miles S, 1990. "Precautionary Saving in the Small and in the Large," Econometrica, Econometric Society, vol. 58(1), pages 53-73, January.
    6. Brennan, M.J. & Solanki, R., 1981. "Optimal Portfolio Insurance," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 16(3), pages 279-300, September.
    7. Sarin, Rakesh K. & Weber, Martin, 1993. "Risk-value models," European Journal of Operational Research, Elsevier, vol. 70(2), pages 135-149, October.
    8. Dybvig, Philip H, 1988. "Distributional Analysis of Portfolio Choice," The Journal of Business, University of Chicago Press, vol. 61(3), pages 369-393, July.
    9. Richard H. Thaler & Amos Tversky & Daniel Kahneman & Alan Schwartz, 1997. "The Effect of Myopia and Loss Aversion on Risk Taking: An Experimental Test," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 112(2), pages 647-661.
    10. Longstaff, Francis A, 1995. "Option Pricing and the Martingale Restriction," The Review of Financial Studies, Society for Financial Studies, vol. 8(4), pages 1091-1124.
    11. Leland, Hayne E, 1980. "Who Should Buy Portfolio Insurance?," Journal of Finance, American Finance Association, vol. 35(2), pages 581-594, May.
    12. Jackwerth, Jens Carsten, 2000. "Recovering Risk Aversion from Option Prices and Realized Returns," The Review of Financial Studies, Society for Financial Studies, vol. 13(2), pages 433-451.
    13. David C. Nachman, 1988. "Spanning and Completeness with Options," The Review of Financial Studies, Society for Financial Studies, vol. 1(3), pages 311-328.
    14. Kalok Chan & Y. Peter Chung & Wai-Ming Fong, 2002. "The Informational Role of Stock and Option Volume," The Review of Financial Studies, Society for Financial Studies, vol. 15(4), pages 1049-1075.
    15. Nicholas Barberis & Ming Huang, 2001. "Mental Accounting, Loss Aversion, and Individual Stock Returns," NBER Working Papers 8190, National Bureau of Economic Research, Inc.
    16. Shiller, Robert J, 1981. "Do Stock Prices Move Too Much to be Justified by Subsequent Changes in Dividends?," American Economic Review, American Economic Association, vol. 71(3), pages 421-436, June.
    17. repec:bla:jfinan:v:58:y:2003:i:2:p:821-838 is not listed on IDEAS
    18. repec:bla:jfinan:v:53:y:1998:i:5:p:1775-1798 is not listed on IDEAS
    19. Chris Starmer, 2000. "Developments in Non-expected Utility Theory: The Hunt for a Descriptive Theory of Choice under Risk," Journal of Economic Literature, American Economic Association, vol. 38(2), pages 332-382, June.
    20. Weber, Martin & Camerer, Colin F., 1998. "The disposition effect in securities trading: an experimental analysis," Journal of Economic Behavior & Organization, Elsevier, vol. 33(2), pages 167-184, January.
    21. Guntar Franke & Richard C. Stapleton & Marti G. Subrahmanyam, 1999. "When are Options Overpriced? The Black-Scholes Model and Alternative Characterizations of the Pricing Kernel," New York University, Leonard N. Stern School Finance Department Working Paper Seires 99-003, New York University, Leonard N. Stern School of Business-.
    22. Franke, Günter & Stapleton, Richard C. & Subrahmanyam, Marti G., 1999. "When are Options Overpriced? The Black-Scholes Model and Alternative Characterisations of the Pricing Kernel," CoFE Discussion Papers 99/01, University of Konstanz, Center of Finance and Econometrics (CoFE).
    23. Franke, Gunter & Stapleton, Richard C. & Subrahmanyam, Marti G., 1998. "Who Buys and Who Sells Options: The Role of Options in an Economy with Background Risk," Journal of Economic Theory, Elsevier, vol. 82(1), pages 89-109, September.
    24. Weber, Elke U. & Bottom, William P., 1990. "An empirical evaluation of the transitivity, monotonicity, accounting, and conjoint axioms for perceived risk," Organizational Behavior and Human Decision Processes, Elsevier, vol. 45(2), pages 253-275, April.
    25. David E. Bell, 1995. "A Contextual Uncertainty Condition for Behavior Under Risk," Management Science, INFORMS, vol. 41(7), pages 1145-1150, July.
    26. De Bondt, Werner F M & Thaler, Richard, 1985. "Does the Stock Market Overreact?," Journal of Finance, American Finance Association, vol. 40(3), pages 793-805, July.
    27. Jianmin Jia & James S. Dyer, 1996. "A Standard Measure of Risk and Risk-Value Models," Management Science, INFORMS, vol. 42(12), pages 1691-1705, December.
    28. Simon Benninga & Marshall Blume, "undated". "On the Optimality of Portfolio Insurance," Rodney L. White Center for Financial Research Working Papers 5-85, Wharton School Rodney L. White Center for Financial Research.
    29. Keller, L. Robin & Sarin, Rakesh K. & Weber, Martin, 1986. "Empirical investigation of some properties of the perceived riskiness of gambles," Organizational Behavior and Human Decision Processes, Elsevier, vol. 38(1), pages 114-130, August.
    30. Grossman, Sanford J & Zhou, Zhongquan, 1996. "Equilibrium Analysis of Portfolio Insurance," Journal of Finance, American Finance Association, vol. 51(4), pages 1379-1403, September.
    31. Marti G. Subrahmanyam & Günter Franke & Richard C. Stapleton, 1998. "Who Buys and Who Sells Options: The Role and Pricing of Options in an Economy with Background Risk," New York University, Leonard N. Stern School Finance Department Working Paper Seires 98-063, New York University, Leonard N. Stern School of Business-.
    32. Bawa, Vijay S. & Lindenberg, Eric B., 1977. "Capital market equilibrium in a mean-lower partial moment framework," Journal of Financial Economics, Elsevier, vol. 5(2), pages 189-200, November.
    33. Rubinstein, Mark, 1974. "An aggregation theorem for securities markets," Journal of Financial Economics, Elsevier, vol. 1(3), pages 225-244, September.
    34. Nicholas Barberis & Ming Huang, 2001. "Mental Accounting, Loss Aversion, and Individual Stock Returns," Journal of Finance, American Finance Association, vol. 56(4), pages 1247-1292, August.
    35. Weber, Elke U. & Anderson, Carolyn J. & Birnbaum, Michael H., 1992. "A theory of perceived risk and attractiveness," Organizational Behavior and Human Decision Processes, Elsevier, vol. 52(3), pages 492-523, August.
    36. Jianmin Jia & James S. Dyer & John C. Butler, 1999. "Measures of Perceived Risk," Management Science, INFORMS, vol. 45(4), pages 519-532, April.
    37. Simon Benninga & Marshall Blume, "undated". "On the Optimality of Portfolio Insurance," Rodney L. White Center for Financial Research Working Papers 05-85, Wharton School Rodney L. White Center for Financial Research.
    38. Elke U. Weber & Richard A. Milliman, 1997. "Perceived Risk Attitudes: Relating Risk Perception to Risky Choice," Management Science, INFORMS, vol. 43(2), pages 123-144, February.
    39. Nicholas Barberis & Ming Huang & Tano Santos, 2001. "Prospect Theory and Asset Prices," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 116(1), pages 1-53.
    40. Benninga, Simon & Mayshar, Joram, 2000. "Heterogeneity and option pricing," Research Report 00E08, University of Groningen, Research Institute SOM (Systems, Organisations and Management).
    41. repec:bla:jfinan:v:53:y:1998:i:1:p:267-284 is not listed on IDEAS
    42. Cass, David & Stiglitz, Joseph E., 1970. "The structure of investor preferences and asset returns, and separability in portfolio allocation: A contribution to the pure theory of mutual funds," Journal of Economic Theory, Elsevier, vol. 2(2), pages 122-160, June.
    43. Christensen, B. J. & Prabhala, N. R., 1998. "The relation between implied and realized volatility," Journal of Financial Economics, Elsevier, vol. 50(2), pages 125-150, November.
    44. Kraus, Alan & Litzenberger, Robert H, 1976. "Skewness Preference and the Valuation of Risk Assets," Journal of Finance, American Finance Association, vol. 31(4), pages 1085-1100, September.
    45. repec:dgr:rugsom:00e08 is not listed on IDEAS
    46. P. Carr & D. Madan, 2001. "Optimal positioning in derivative securities," Quantitative Finance, Taylor & Francis Journals, vol. 1(1), pages 19-37.
    47. Jegadeesh, Narasimhan & Titman, Sheridan, 1993. "Returns to Buying Winners and Selling Losers: Implications for Stock Market Efficiency," Journal of Finance, American Finance Association, vol. 48(1), pages 65-91, March.
    48. Guenter Franke & Richard C. Stapleton & Marti G. Subrahmanyam, 1999. "When are Options Overpriced? The Black-Scholes Model and Alternative Characterisations of the Pricing Kernel," Finance 9904004, University Library of Munich, Germany.
    49. Elke U. Weber & Christopher Hsee, 1998. "Cross-Cultural Differences in Risk Perception, but Cross-Cultural Similarities in Attitudes Towards Perceived Risk," Management Science, INFORMS, vol. 44(9), pages 1205-1217, September.
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    Cited by:

    1. Markus Glaser & Martin Weber, 2003. "Momentum and Turnover: Evidence from the German Stock Market," Schmalenbach Business Review (sbr), LMU Munich School of Management, vol. 55(2), pages 108-135, April.
    2. Lüders, Erik, 2002. "Asset Prices and Alternative Characterizations of the Pricing Kernel," ZEW Discussion Papers 02-10, ZEW - Leibniz Centre for European Economic Research.
    3. Sohnke M. Bartram & Frank R. Fehle, 2003. "Alternative Market Structures for Derivatives," Finance 0311007, University Library of Munich, Germany, revised 12 Dec 2003.
    4. Sohnke M. Bartram & Frank R. Fehle, 2003. "Competition among Alternative Option Market Structures: Evidence from Eurex vs. Euwax," Finance 0307005, University Library of Munich, Germany, revised 06 Nov 2003.

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    More about this item

    Keywords

    Decision Making Under Risk; Asset Pricing; Convexity of Pricing Kernel; Heterogeneity of Investors;
    All these keywords.

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • 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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