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Volatility Ambiguity, Portfolio Decisions, and Equilibrium Asset Pricing

Author

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  • Yu Liu

    (Institute of Finance and School of Economics, Jinan University, Guangzhou 510632, China)

  • Hao Wang

    (School of Economics and Management, Tsinghua University, Beijing 100084, China)

  • Tan Wang

    (Shanghai Advanced Institute of Finance, Shanghai Jiao Tong University, Shanghai 200240, China)

  • Lihong Zhang

    (School of Economics and Management, Tsinghua University, Beijing 100084, China)

Abstract

This paper develops a new approach to volatility ambiguity and studies its implications for equilibrium consumption, portfolio choice, and asset prices. Our approach does not require equivalence between priors. The measure of ambiguity is based on the statistical confidence in the reference model that can be assessed with sample statistics. The approach is analytically tractable and amenable to empirical/calibration analysis. A stochastic discount pricing formula is given. At sensible levels of volatility ambiguity, the empirical regularity of equity premium and consumption growth in U.S. data can be the equilibrium outcome of our model featuring a relative risk aversion (RRA) coefficient within a reasonable range.

Suggested Citation

  • Yu Liu & Hao Wang & Tan Wang & Lihong Zhang, 2025. "Volatility Ambiguity, Portfolio Decisions, and Equilibrium Asset Pricing," Management Science, INFORMS, vol. 71(6), pages 5185-5203, June.
  • Handle: RePEc:inm:ormnsc:v:71:y:2025:i:6:p:5185-5203
    DOI: 10.1287/mnsc.2022.02902
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