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Risk Appetite and Endogenous Risk

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  • Jean-Pierre Zigrand
  • Hyun Song Shin
  • Jon Danielsson

Abstract

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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  • Jean-Pierre Zigrand & Hyun Song Shin & Jon Danielsson, 2010. "Risk Appetite and Endogenous Risk," FMG Discussion Papers dp647, Financial Markets Group.
    • Handle: RePEc:fmg:fmgdps:dp647
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    9. Aymanns, Christoph & Farmer, J. Doyne, 2015. "The dynamics of the leverage cycle," Journal of Economic Dynamics and Control, Elsevier, vol. 50(C), pages 155-179.
    10. Monica Billio & Mila Getmansky & Andrew W. Lo & Loriana Pelizzon, 2010. "Econometric Measures of Systemic Risk in the Finance and Insurance Sectors," NBER Working Papers 16223, National Bureau of Economic Research, Inc.
    11. Cathy Q. Ning & Loran Chollete, 2009. "The Dependence Structure of Macroeconomic Variables in the US," Working Papers 005, Ryerson University, Department of Economics.
    12. Chollete, Lorán & de la Peña, Victor & Lu, Ching-Chih, 2011. "International diversification: A copula approach," Journal of Banking & Finance, Elsevier, vol. 35(2), pages 403-417, February.
    13. Valentin Haddad, 2012. "Concentrated Ownership and Equilibrium Asset Prices," 2012 Meeting Papers 902, Society for Economic Dynamics.
    14. Anginer, Deniz & Demirguc-Kunt, Asli, 2014. "Has the global banking system become more fragile over time?," Journal of Financial Stability, Elsevier, vol. 13(C), pages 202-213.
    15. Chollete, Loran & Pena, Victor de la & Lu, Ching-Chih, 2009. "International Diversification: A Copula Approach," UiS Working Papers in Economics and Finance 2009/27, University of Stavanger.
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    18. Tyler Muir & Erkko Etula & Tobias Adrian, 2011. "Broker-Dealer Leverage and the Cross-Section of Stock Returns," 2011 Meeting Papers 1448, Society for Economic Dynamics.
    19. Chollete, Loran & de la Pena , Victor & Lu, Ching-Chih, 2009. "International Diversification: An Extreme Value Approach," UiS Working Papers in Economics and Finance 2009/26, University of Stavanger.
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    21. Gabriele Galati & Richhild Moessner, 2013. "Macroprudential Policy – A Literature Review," Journal of Economic Surveys, Wiley Blackwell, vol. 27(5), pages 846-878, December.
    22. Chollete, Loran & Ning, Cathy, 2010. "Asymmetric Dependence in US Financial Risk Factors?," UiS Working Papers in Economics and Finance 2011/2, University of Stavanger.
    23. Ekaterina Svetlova & Henk van Elst, 2012. "How is non-knowledge represented in economic theory?," Papers 1209.2204, arXiv.org.

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