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Ambiguity Aversion and Variance Premium

Author

Listed:
  • Jianjun Miao

    (Department of Economics, Boston University)

  • Bin Wei

    (Capital Markets Section, Federal Reserve Board)

  • Hao Zhou

    (Capital Markets Section, Federal Reserve Board)

Abstract

This paper offers an ambiguity-based interpretation of variance premium - the differ- ence between risk-neutral and objective expectations of market return variance - as a com- pounding effect of both belief distortion and variance differential regarding the uncertain economic regimes. Our approach endogenously generates variance premium without impos- ing exogenous stochastic volatility or jumps in consumption process. Such a framework can reasonably match the mean variance premium as well as the mean equity premium, equity volatility, and the mean risk-free rate in the data. We find that about 96 percent of the mean variance premium can be attributed to ambiguity aversion. Applying the model to historical consumption data, we find that variance premium mostly captures depressions, deep recessions, and financial panics, with a post war peak in 2009.

Suggested Citation

  • Jianjun Miao & Bin Wei & Hao Zhou, 2012. "Ambiguity Aversion and Variance Premium," Boston University - Department of Economics - Working Papers Series WP2012-009, Boston University - Department of Economics.
  • Handle: RePEc:bos:wpaper:wp2012-009
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    File URL: http://people.bu.edu/miaoj/VRP18.pdf
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    References listed on IDEAS

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    Cited by:

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    2. 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.
    3. Adoukonou, Olivier & André, Florence & Viviani, Jean-Laurent, 2021. "The determinants of the convertible bonds call policy of Western European companies," International Review of Financial Analysis, Elsevier, vol. 73(C).
    4. Konstantinidi, Eirini & Skiadopoulos, George, 2016. "How does the market variance risk premium vary over time? Evidence from S&P 500 variance swap investment returns," Journal of Banking & Finance, Elsevier, vol. 62(C), pages 62-75.
    5. Panagiotidis, Theodore & Printzis, Panagiotis, 2020. "What is the investment loss due to uncertainty?," Global Finance Journal, Elsevier, vol. 45(C).
    6. Park, Yang-Ho, 2015. "Volatility-of-volatility and tail risk hedging returns," Journal of Financial Markets, Elsevier, vol. 26(C), pages 38-63.
    7. Danilo Cascaldi-Garcia & Deepa Dhume Datta & Thiago Revil T. Ferreira & Olesya V. Grishchenko & Mohammad R. Jahan-Parvar & Juan M. Londono & Francesca Loria & Sai Ma & Marius del Giudice Rodriguez & J, 2020. "What is Certain about Uncertainty?," International Finance Discussion Papers 1294, Board of Governors of the Federal Reserve System (U.S.).
    8. Lin, Mei-Chen, 2018. "The impact of aggregate uncertainty on herding in analysts' stock recommendations," International Review of Financial Analysis, Elsevier, vol. 57(C), pages 90-105.
    9. Julian Thimme & Clemens Völkert, 2015. "Ambiguity in the Cross-Section of Expected Returns: An Empirical Assessment," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 33(3), pages 418-429, July.
    10. Ariel M. Viale & Antoine Giannetti & Luis Garcia-Feijoó, 2020. "The stock market’s reaction to macroeconomic news under ambiguity," Financial Markets and Portfolio Management, Springer;Swiss Society for Financial Market Research, vol. 34(1), pages 65-97, March.
    11. Qi Nan Zhai, 2015. "Asset Pricing Under Ambiguity and Heterogeneity," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 1-2015.
    12. Aramonte, Sirio, 2014. "Macroeconomic uncertainty and the cross-section of option returns," Journal of Financial Markets, Elsevier, vol. 21(C), pages 25-49.

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    More about this item

    Keywords

    Ambiguity aversion; learning; variance premium; regime-shift; belief distortion;
    All these keywords.

    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • E44 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Financial Markets and the Macroeconomy

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