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Stochastic Volatility in General Equilibrium

Author

Listed:
  • George Tauchen

    (Department of Economics, Duke University, Box 90097, Durham NC 27708, USA)

Abstract

The connections between stock market volatility and returns are studied within the context of a general equilibrium framework. The framework rules outa prioriany purely statistical relationship between volatility and returns by imposing uncorrelated innovations. The main model generates a two-factor structure for stock market volatility along with time-varying risk premiums on consumption and volatility risk. It also generates endogenously a dynamic leverage effect (volatility asymmetry), the sign of which depends upon the magnitudes of the risk aversion and the intertemporal elasticity of substitution parameters.

Suggested Citation

  • George Tauchen, 2011. "Stochastic Volatility in General Equilibrium," Quarterly Journal of Finance (QJF), World Scientific Publishing Co. Pte. Ltd., vol. 1(04), pages 707-731.
    • Handle: RePEc:wsi:qjfxxx:v:01:y:2011:i:04:n:s2010139211000237
    DOI: 10.1142/S2010139211000237
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    References listed on IDEAS

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    1. Engle, Robert F. & White (the late), Halbert (ed.), 1999. "Cointegration, Causality, and Forecasting: Festschrift in Honour of Clive W. J. Granger," OUP Catalogue, Oxford University Press, number 9780198296836.
    2. Shephard, Neil (ed.), 2005. "Stochastic Volatility: Selected Readings," OUP Catalogue, Oxford University Press, number 9780199257201.
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    Cited by:

    1. Sang Byung Seo & Jessica A. Wachter, 2019. "Option Prices in a Model with Stochastic Disaster Risk," Management Science, INFORMS, vol. 65(8), pages 3449-3469, August.
    2. Christian Schlag & Michael Semenischev & Julian Thimme, 2021. "Predictability and the Cross-Section of Expected Returns: A Challenge for Asset Pricing Models," Management Science, INFORMS, vol. 67(12), pages 7932-7950, December.
    3. Farago, Adam & Tédongap, Roméo, 2018. "Downside risks and the cross-section of asset returns," Journal of Financial Economics, Elsevier, vol. 129(1), pages 69-86.
    4. Julian Thimme & Clemens Völkert, 2015. "High order smooth ambiguity preferences and asset prices," Review of Financial Economics, John Wiley & Sons, vol. 27(1), pages 1-15, November.
    5. Tédongap, Roméo & Tinang, Jules, 2024. "International asset pricing with heterogeneous agents: Estimation and inference," Journal of Empirical Finance, Elsevier, vol. 75(C).
    6. Gollier, Christian, 2019. "Variance stochastic orders," Journal of Mathematical Economics, Elsevier, vol. 80(C), pages 1-8.
    7. Victor Olkhov, 2018. "How Macro Transactions Describe the Evolution and Fluctuation of Financial Variables," IJFS, MDPI, vol. 6(2), pages 1-19, March.
    8. Thimme, Julian & Völkert, Clemens, 2015. "High order smooth ambiguity preferences and asset prices," Review of Financial Economics, Elsevier, vol. 27(C), pages 1-15.
    9. Matthijs Breugem & Stefano Colonnello & Roberto Marfè & Francesca Zucchi, 2020. "Dynamic Equity Slope," Carlo Alberto Notebooks 626, Collegio Carlo Alberto.
      • Matthijs Breugem & Stefano Colonello & Roberto Marfè & Francesca Zucchi, 2020. "Dynamic Equity Slope," Working Papers 2020:21, Department of Economics, University of Venice "Ca' Foscari".
    10. Walter Pohl & Karl Schmedders & Ole Wilms, 2018. "Higher Order Effects in Asset Pricing Models with Long‐Run Risks," Journal of Finance, American Finance Association, vol. 73(3), pages 1061-1111, June.
    11. Schlag, Christian & Semenischev, Michael & Thimme, Julian, 2020. "Predictability and the cross-section of expected returns: A challenge for asset pricing models," SAFE Working Paper Series 289, Leibniz Institute for Financial Research SAFE.
    12. Olesya V. Grishchenko & Zhaogang Song & Hao Zhou, 2015. "Term Structure of Interest Rates with Short-run and Long-run Risks," Finance and Economics Discussion Series 2015-95, Board of Governors of the Federal Reserve System (U.S.).
    13. Jianlei Han & Martina Linnenluecke & Zhangxin Liu & Zheyao Pan & Tom Smith, 2019. "A general equilibrium approach to pricing volatility risk," PLOS ONE, Public Library of Science, vol. 14(4), pages 1-18, April.
    14. Matthijs Breugem & Stefano Colonnello & Roberto Marfè & Francesca Zucchi, 2020. "Dynamic Equity Slope," Carlo Alberto Notebooks 626, Collegio Carlo Alberto.
    15. Pagel, Michaela, 2012. "Expectations-Based Reference-Dependent Preferences and Asset Pricing," MPRA Paper 47933, University Library of Munich, Germany.
    16. Roméo Tédongap, 2015. "Consumption Volatility and the Cross-Section of Stock Returns," Review of Finance, European Finance Association, vol. 19(1), pages 367-405.
    17. Londono, Juan M. & Zhou, Hao, 2017. "Variance risk premiums and the forward premium puzzle," Journal of Financial Economics, Elsevier, vol. 124(2), pages 415-440.
    18. Rouatbi, Wael & Demir, Ender & Kizys, Renatas & Zaremba, Adam, 2021. "Immunizing markets against the pandemic: COVID-19 vaccinations and stock volatility around the world," International Review of Financial Analysis, Elsevier, vol. 77(C).

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    More about this item

    Keywords

    Stochastic volatility; risk aversion; leverage effect; volatility asymmetry; G12; C51; C52;
    All these keywords.

    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection

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