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A Robust General Equilibrium Stochastic Volatility Model with Recursive Preference Investors

Author

Listed:
  • 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.

Suggested Citation

  • Weidong Xu & Hongyi Li & Chongfeng Wu, 2011. "A Robust General Equilibrium Stochastic Volatility Model with Recursive Preference Investors," Annals of Economics and Finance, Society for AEF, vol. 12(2), pages 217-231, November.
  • Handle: RePEc:cuf:journl:y:2011:v:12:i:2:p:217-231
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    References listed on IDEAS

    as
    1. 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.
    2. Campbell, John Y. & Chacko, George & Rodriguez, Jorge & Viceira, Luis M., 2004. "Strategic asset allocation in a continuous-time VAR model," Journal of Economic Dynamics and Control, Elsevier, vol. 28(11), pages 2195-2214, October.
    3. Zengjing Chen & Larry Epstein, 2002. "Ambiguity, Risk, and Asset Returns in Continuous Time," Econometrica, Econometric Society, vol. 70(4), pages 1403-1443, July.
    4. Pascal J. Maenhout, 2004. "Robust Portfolio Rules and Asset Pricing," Review of Financial Studies, Society for Financial Studies, vol. 17(4), pages 951-983.
    5. 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.
    6. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-1445, November.
    7. 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 937-969, July.
    8. Epstein, Larry G & Wang, Tan, 1994. "Intertemporal Asset Pricing Under Knightian Uncertainty," Econometrica, Econometric Society, vol. 62(2), pages 283-322, March.
    9. Jianjun Miao, 2009. "Ambiguity, Risk and Portfolio Choice under Incomplete Information," Annals of Economics and Finance, Society for AEF, vol. 10(2), pages 257-279, November.
    10. 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.
    11. Hening Liu, 2010. "Robust consumption and portfolio choice for time varying investment opportunities," Annals of Finance, Springer, pages 435-454.
    12. 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.
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    Citations

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    Cited by:

    1. 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.
    2. 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.
    3. 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, pages 507-531.

    More about this item

    Keywords

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

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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