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A Model of Stochastic Liquidity

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  • Masahiro Watanabe

Abstract

This paper proposes a dynamic multi-security model in which liquidity reflects stochastic variation, persistence, and commonality of underlying information variance. Illiquidity, price-change variance, and trading volume all increase in the size of information. Using high frequency data, I perform structural estimation of the model by Bayesian Markov-Chain Monte-Carlo simulation, with the conditional volatility of underlying information modeled as stochastic volatility or realized volatility controlling for microstructure noise. I find that a Dow stock's liquidity decreases in the size of information about not only itself but also about other Dow stocks, demonstrating a significant cross-sectional effect of information on liquidity.

Suggested Citation

  • Masahiro Watanabe, 2003. "A Model of Stochastic Liquidity," Yale School of Management Working Papers ysm385, Yale School of Management.
    • Handle: RePEc:ysm:somwrk:ysm385
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    File URL: http://icfpub.som.yale.edu/publications/2642
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    Keywords

    Kyle model; liquidity; stochastic and realized volatility; Bayesian Markov-Chain Monte-Carlo (MCMC); GARCH; trading volume;
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