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A Robust General Equilibrium Stochastic Volatility Model with Recursive Preference Investors

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Author Info

  • Weidong Xu

    (School of Management, Zhejiang University)

  • Hongyi Li

    (Business Administration Faculty, The Chinese University of Hong Kong)

  • Chongfeng Wu

    (Financial Engineering Research Center, Shanghai Jiaotong University)

Abstract

This paper investigates the implications of model uncertainty for the equity premium in a stochastic volatility model. We consider a general equilibrium setting with one representative agent who has a stochastic differential utility. The results show that the equilibrium equity premium consists of a market risk premium, a stochastic volatility risk premium and an uncertainty aversion premium. Further, the robustness can increase the equilibrium equity premium and drive down the equilibrium risk-free rate.

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Bibliographic Info

Article provided by Society for AEF in its journal Annals of Economics and Finance.

Volume (Year): 12 (2011)
Issue (Month): 2 (November)
Pages: 217-231

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Handle: RePEc:cuf:journl:y:2011:v:12:i:2:p:217-231

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Related research

Keywords: General equilibrium; Robust control; Stochastic volatility model; Equity premium;

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  1. Merton, Robert C., 1971. "Optimum consumption and portfolio rules in a continuous-time model," Journal of Economic Theory, Elsevier, vol. 3(4), pages 373-413, December.
  2. John Y. Campbell & George Chacko & Jorge Rodriguez & Luis M. Viciera, 2003. "Strategic Asset Allocation in a Continuous-Time VAR Model," NBER Working Papers 9547, National Bureau of Economic Research, Inc.
  3. Jianjun Miao, 2004. "A Note on Consumption and Savings under Knightian Uncertainty," Annals of Economics and Finance, Society for AEF, vol. 5(2), pages 299-311, November.
  4. Jianjun Miao, . "Ambiguity, Risk and Portfolio Choice under Incomplete Information," Boston University - Department of Economics - Working Papers Series wp2009-019, Boston University - Department of Economics.
  5. Zengjing Chen & Larry Epstein, 2002. "Ambiguity, Risk, and Asset Returns in Continuous Time," Econometrica, Econometric Society, vol. 70(4), pages 1403-1443, July.
  6. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-45, November.
  7. Xu, Weidong & Wu, Chongfeng & Li, Hongyi, 2010. "Robust general equilibrium under stochastic volatility model," Finance Research Letters, Elsevier, vol. 7(4), pages 224-231, December.
  8. Pascal J. Maenhout, 2004. "Robust Portfolio Rules and Asset Pricing," Review of Financial Studies, Society for Financial Studies, vol. 17(4), pages 951-983.
  9. Epstein, Larry G & Zin, Stanley E, 1989. "Substitution, Risk Aversion, and the Temporal Behavior of Consumption and Asset Returns: A Theoretical Framework," Econometrica, Econometric Society, vol. 57(4), pages 937-69, July.
  10. Hening Liu, 2010. "Robust consumption and portfolio choice for time varying investment opportunities," Annals of Finance, Springer, vol. 6(4), pages 435-454, October.
  11. Epstein, Larry G & Wang, Tan, 1994. "Intertemporal Asset Pricing Under Knightian Uncertainty," Econometrica, Econometric Society, vol. 62(2), pages 283-322, March.
  12. Breeden, Douglas T., 1979. "An intertemporal asset pricing model with stochastic consumption and investment opportunities," Journal of Financial Economics, Elsevier, vol. 7(3), pages 265-296, September.
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Cited by:
  1. Gonçalo Faria & João Correia-da-Silva, 2011. "The Price of Risk and Ambiguity in an Intertemporal General Equilibrium Model of Asset Prices," FEP Working Papers 399, Universidade do Porto, Faculdade de Economia do Porto.
  2. Xu, Weijun & Sun, Qi & Xiao, Weilin, 2012. "A new energy model to capture the behavior of energy price processes," Economic Modelling, Elsevier, vol. 29(5), pages 1585-1591.

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