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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. Gromb, Denis & Vayanos, Dimitri, 2002. "Equilibrium and welfare in markets with financially constrained arbitrageurs," Journal of Financial Economics, Elsevier, vol. 66(2-3), pages 361-407.
  2. Bengt Holmstrom & Jean Tirole, 1998. "Private and Public Supply of Liquidity," Journal of Political Economy, University of Chicago Press, vol. 106(1), pages 1-40, February.
  3. Jon Danielsson & Hyun Song Shin & Jean-Pierre Zigrand, 2004. "The impact of risk regulation on price dynamics," LSE Research Online Documents on Economics 16628, London School of Economics and Political Science, LSE Library.
  4. Coudert, Virginie & Gex, Mathieu, 2008. "Does risk aversion drive financial crises? Testing the predictive power of empirical indicators," Journal of Empirical Finance, Elsevier, vol. 15(2), pages 167-184, March.
  5. 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.
  6. 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.
  7. Xiong, Wei, 2001. "Convergence trading with wealth effects: an amplification mechanism in financial markets," Journal of Financial Economics, Elsevier, vol. 62(2), pages 247-292, November.
  8. Hyun Song Shin & Stephen Morris, 2004. "Liquidity Black Holes," Econometric Society 2004 North American Winter Meetings 620, Econometric Society.
  9. Suleyman Basak & Benjamin Croitoru, . "Equilibrium Mispricing in a Capital Market with Portfolio Constraints," Rodney L. White Center for Financial Research Working Papers 17-99, Wharton School Rodney L. White Center for Financial Research.
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  13. Tobias Adrian & Hyun Song Shin, 2008. "Financial intermediary leverage and value at risk," Staff Reports 338, Federal Reserve Bank of New York.
  14. 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.
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  18. Black, Fischer, 1990. "Mean Reversion and Consumption Smoothing," Review of Financial Studies, Society for Financial Studies, vol. 3(1), pages 107-14.
  19. 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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