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Robustness and Ambiguity Aversion in General Equilibrium

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  • Fabio Trojani
  • Paolo Vanini

Abstract

We analyze the empirical predictions of ambiguity aversion in intertemporal heterogenous agents economies. We examine equilibria for two tractable wealth--homothetic settings of ambiguity aversion in continuous time. Each setting is motivated by a different robust control optimization problem. We show that ambiguity aversion affects optimal portfolios in a way that is similar to an increase in risk aversion. A distinct property of our second setting of ambiguity aversion is that this increase is state dependent, highly pronounced at moderate portfolio exposures and reduces equity-market participation. In general equilibrium, ambiguity aversion raises the equity premium and lowers interest rates. A distinct feature of our second setting of ambiguity aversion is that the equity premium part due to ambiguity aversion dominates when volatility is low.

Suggested Citation

  • Fabio Trojani & Paolo Vanini, 2004. "Robustness and Ambiguity Aversion in General Equilibrium," Review of Finance, Springer, vol. 8(2), pages 279-324.
  • Handle: RePEc:kap:eurfin:v:8:y:2004:i:2:p:279-324
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    Cited by:

    1. Gonçalo Faria & João Correia-da-Silva, 2014. "A closed-form solution for options with ambiguity about stochastic volatility," Review of Derivatives Research, Springer, vol. 17(2), pages 125-159, July.
    2. Larry G. Epstein & Martin Schneider, 2010. "Ambiguity and Asset Markets," Annual Review of Financial Economics, Annual Reviews, vol. 2(1), pages 315-346, December.
    3. Escobar, Marcos & Ferrando, Sebastian & Rubtsov, Alexey, 2015. "Robust portfolio choice with derivative trading under stochastic volatility," Journal of Banking & Finance, Elsevier, vol. 61(C), pages 142-157.
    4. Gonçalo Faria & João Correia-da-Silva, 2016. "Is stochastic volatility relevant for dynamic portfolio choice under ambiguity?," The European Journal of Finance, Taylor & Francis Journals, vol. 22(7), pages 601-626, May.
    5. Massimo Guidolin & Francesca Rinaldi, 2013. "Ambiguity in asset pricing and portfolio choice: a review of the literature," Theory and Decision, Springer, vol. 74(2), pages 183-217, February.
    6. Agarwal, Vikas & Arisoy, Y. Eser & Naik, Narayan Y., 2017. "Volatility of aggregate volatility and hedge fund returns," Journal of Financial Economics, Elsevier, vol. 125(3), pages 491-510.
    7. Jeleva, Meglena & Tallon, Jean-Marc, 2016. "Ambiguïté, comportements et marchés financiers," L'Actualité Economique, Société Canadienne de Science Economique, vol. 92(1-2), pages 351-383, Mars-Juin.
    8. Yehuda Izhakian, 2012. "Does Ambiguity Diversification Pay?," Working Papers 12-11, New York University, Leonard N. Stern School of Business, Department of Economics.
    9. Gonçalo Faria & João Correia-da-Silva, 2012. "The price of risk and ambiguity in an intertemporal general equilibrium model of asset prices," Annals of Finance, Springer, vol. 8(4), pages 507-531, November.
    10. Ulrich, Maxim, 2013. "Inflation ambiguity and the term structure of U.S. Government bonds," Journal of Monetary Economics, Elsevier, vol. 60(2), pages 295-309.
    11. Leippold, Markus & Trojani, Fabio & Vanini, Paolo, 2006. "Equilibrium impact of value-at-risk regulation," Journal of Economic Dynamics and Control, Elsevier, vol. 30(8), pages 1277-1313, August.
    12. Markus Leippold & Fabio Trojani & Paolo Vanini, 2008. "Learning and Asset Prices Under Ambiguous Information," Review of Financial Studies, Society for Financial Studies, vol. 21(6), pages 2565-2597, November.
    13. Martin Schneider, 2010. "The Research Agenda: Martin Schneider on Multiple Priors Preferences and Financial Markets," EconomicDynamics Newsletter, Review of Economic Dynamics, vol. 11(2), April.
    14. Nina Boyarchenko, 2009. "Ambiguity, Information Quality and Credit Risk," 2009 Meeting Papers 1028, Society for Economic Dynamics.
    15. Hening Liu, 2011. "Dynamic portfolio choice under ambiguity and regime switching mean returns," Post-Print hal-00781344, HAL.
    16. Patrick Gagliardini & Paolo Porchia & Fabio Trojani, 2009. "Ambiguity Aversion and the Term Structure of Interest Rates," Review of Financial Studies, Society for Financial Studies, pages 4157-4188.
    17. Trojani, Fabio & Wiehenkamp, Christian & Wrampelmeyer, Jan, 2014. "Ambiguity and Reality," Working Papers on Finance 1418, University of St. Gallen, School of Finance.
    18. Fabio Trojani & Roberto G. Ferretti, 2005. "General Analytical Solutions For Mertons'S-Type Consumption-Investment Problems," University of St. Gallen Department of Economics working paper series 2005 2005-02, Department of Economics, University of St. Gallen.
    19. Sbuelz, Alessandro & Trojani, Fabio, 2008. "Asset prices with locally constrained-entropy recursive multiple-priors utility," Journal of Economic Dynamics and Control, Elsevier, vol. 32(11), pages 3695-3717, November.
    20. Liu, Hening, 2011. "Dynamic portfolio choice under ambiguity and regime switching mean returns," Journal of Economic Dynamics and Control, Elsevier, vol. 35(4), pages 623-640, April.

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