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Growth Uncertainty, Rational Learning, and Option Prices

Author

Listed:
  • Mykola Babiak
  • Roman Kozhan
Abstract
We demonstrate that incorporating parameter learning into a production economy can capture salient properties of the variance premium and index option prices with empirically consistent equity returns, the risk-free rate, and macroeconomic quantities. In a model estimated on post-WWII U.S. data, the investor learns about the true parameters governing the persistence, mean, and volatility of productivity growth. Rational belief updating amplifies the impact of shocks on prices and conditional moments. The agent, in turn, pays a large premium for variance swaps and options because they hedge his concerns about future revisions, particularly concerning the mean and volatility of productivity growth.

Suggested Citation

  • Mykola Babiak & Roman Kozhan, 2021. "Growth Uncertainty, Rational Learning, and Option Prices," CERGE-EI Working Papers wp682, The Center for Economic Research and Graduate Education - Economics Institute, Prague.
    • Handle: RePEc:cer:papers:wp682
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    File URL: http://www.cerge-ei.cz/pdf/wp/Wp682.pdf
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    References listed on IDEAS

    as
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    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    uncertainty; rational learning; business cycles; variance premium; implied volatilities;
    All these keywords.

    JEL classification:

    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • E13 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Neoclassical
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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