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Changes in Risk and Asset Prices

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  • Harris Schlesinger
  • Christian Gollier

Abstract

We examine asset prices in a representative-agent model of general equilibrium. Assuming only that individuals are risk averse, we determine conditions on the changes in asset risk that are both necessary and sufficient for the asset price to fall. We show that these conditions neither imply, nor are implied by the conditions for second-degree stochastic dominance. For example, if the payoff on an asset becomes riskier in the sense of second-degree stochastic dominance, the equilibrium price of the asset need not necessarily fall. We further demonstrate how our results can be imbedded into a market that is incomplete in the sense of containing an uninsurable background risk, such as a risk on labor income. We extend our model to show how a miscalibration of the asset risk can lead to a partial explanation of high equity premia (i.e., the "equity premium puzzle").

Suggested Citation

  • Harris Schlesinger & Christian Gollier, 2001. "Changes in Risk and Asset Prices," CESifo Working Paper Series 443, CESifo Group Munich.
  • Handle: RePEc:ces:ceswps:_443
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    File URL: http://www.cesifo-group.de/DocDL/cesifo_wp443.pdf
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    References listed on IDEAS

    as
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    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Dionne, Georges & Li, Jingyuan, 2014. "Comparative Ross risk aversion in the presence of mean dependent risks," Journal of Mathematical Economics, Elsevier, vol. 51(C), pages 128-135.
    2. Masamitsu Ohnishi & Yusuke Osaki, 2004. "The Comparative Statics of Equilibrium Derivative Prices," Discussion Papers in Economics and Business 04-19, Osaka University, Graduate School of Economics and Osaka School of International Public Policy (OSIPP).
    3. Georges Dionne & Jingyuan Li & Cedric Okou, 2012. "An Extension of the Consumption-based CAPM Model," Cahiers de recherche 1214, CIRPEE.
    4. Christian Gollier & Miles S. Kimball, 2018. "New methods in the classical economics of uncertainty: comparing risks," The Geneva Papers on Risk and Insurance Theory, Springer;International Association for the Study of Insurance Economics (The Geneva Association), vol. 43(1), pages 5-23, May.
    5. Osaki, Yusuke, 2007. "Risk and Derivative Price," Risk and Sustainable Management Group Working Papers 151179, University of Queensland, School of Economics.
    6. Gollier, Christian & Schlesinger, Harris, 2002. "Changes in risk and asset prices," Journal of Monetary Economics, Elsevier, vol. 49(4), pages 747-760, May.
    7. Dionne, Georges & Li, Jingyuan, 2014. "When can expected utility handle first-order risk aversion?," Journal of Economic Theory, Elsevier, vol. 154(C), pages 403-422.
    8. Yoichiro Fujii & Yutaka Nakamura, 2010. "Equity premium under multiple background risks," Economics Bulletin, AccessEcon, vol. 30(2), pages 933-939.
    9. Jouini, E. & Napp, C., 2008. "On Abel's concept of doubt and pessimism," Journal of Economic Dynamics and Control, Elsevier, vol. 32(11), pages 3682-3694, November.
    10. Jokung, Octave, 2013. "Monotonicity of asset price toward higher changes in risk," Economics Letters, Elsevier, vol. 118(1), pages 195-198.
    11. Pierre Chaigneau & Louis Eeckhoudt, 2015. "Downside Risk Neutral Probabilities," Cahiers de recherche 1521, CIRPEE.
    12. repec:dau:papers:123456789/198 is not listed on IDEAS
    13. Burton Hollifield & Alan Kraus, 2009. "Defining Bad News: Changes in Return Distributions That Decrease Risky Asset Demand," Management Science, INFORMS, vol. 55(7), pages 1227-1236, July.
    14. Masamitsu Ohnishi & Yusuke Osaki, 2005. "The Monotonicity of Asset Prices with Changes in Risk," Discussion Papers in Economics and Business 05-14, Osaka University, Graduate School of Economics and Osaka School of International Public Policy (OSIPP).

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