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Risk Appetite and Endogenous Risk

  • Jean-Pierre Zigrand

    ()

  • Hyun Song Shin

    ()

  • Jon Danielsson

    ()

Risk is endogenous. Equilibrium risk is the fixed point of the mapping that takes perceived risk to actual risk. When risk-neutral traders operate under Value-at-Risk constraints, market conditions exhibit signs of fluctuating risk appetite and amplification of shocks through feedback effects. Correlations in returns emerge even when underlying fundamental shocks are independent. We derive a closedform solution of equilibrium returns, correlation and volatility by solving the fixed point problem in closed form. We apply our results to stochastic volatility and option pricing.

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File URL: http://www.lse.ac.uk/fmg/workingPapers/discussionPapers/fmgdps/dp647AXA2.pdf
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Paper provided by Financial Markets Group in its series FMG Discussion Papers with number dp647.

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Date of creation: Feb 2010
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Handle: RePEc:fmg:fmgdps:dp647
Contact details of provider: Web page: http://www.lse.ac.uk/fmg/

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  1. Virginie Coudert & Mathieu Gex, 2007. "Does Risk Aversion Drive Financial Crises? Testing the Predictive Power of Empirical Indicators," Working Papers 2007-02, CEPII research center.
  2. Basak, Suleyman & Croitoru, Benjamin, 2000. "Equilibrium Mispricing in a Capital Market with Portfolio Constraints," Review of Financial Studies, Society for Financial Studies, vol. 13(3), pages 715-48.
  3. Yeung Lewis Chan & Leonid Kogan, 2002. "Catching Up with the Joneses: Heterogeneous Preferences and the Dynamics of Asset Prices," Journal of Political Economy, University of Chicago Press, vol. 110(6), pages 1255-1285, December.
  4. Jon Danielsson & Jean-Pierre Zigrand, 2006. "Equilibrium asset pricing with systemic risk," LSE Research Online Documents on Economics 24515, London School of Economics and Political Science, LSE Library.
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  7. Tobias Adrian & Hyun Song Shin, 2008. "Financial intermediary leverage and value at risk," Staff Reports 338, Federal Reserve Bank of New York.
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  9. Danielsson, Jon & Shin, Hyun Song & Zigrand, Jean-Pierre, 2004. "The impact of risk regulation on price dynamics," Journal of Banking & Finance, Elsevier, vol. 28(5), pages 1069-1087, May.
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  13. Stephen Morris & Hyun Song Shin, 2004. "Liquidity Black Holes," Yale School of Management Working Papers ysm425, Yale School of Management.
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  16. Jones, Christopher S., 2003. "The dynamics of stochastic volatility: evidence from underlying and options markets," Journal of Econometrics, Elsevier, vol. 116(1-2), pages 181-224.
  17. Andersen, Torben G. & Bollerslev, Tim & Diebold, Francis X. & Ebens, Heiko, 2001. "The distribution of realized stock return volatility," Journal of Financial Economics, Elsevier, vol. 61(1), pages 43-76, July.
  18. Shleifer, Andrei & Vishny, Robert W, 1992. " Liquidation Values and Debt Capacity: A Market Equilibrium Approach," Journal of Finance, American Finance Association, vol. 47(4), pages 1343-66, September.
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  21. Woodford, Michael, 1986. "Stationary sunspot equilibria in a finance constrained economy," Journal of Economic Theory, Elsevier, vol. 40(1), pages 128-137, October.
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