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Asset Prices and asset Correlations in Illiquid Markets

Author

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  • Celso Brunetti

    (Finance Johns Hopkins University)

  • Alessio Caldarera

    (BPN Paribas)

Abstract

We build a new asset pricing framework to study the effects of aggregate illiquidity on asset prices, volatilities and correlations. In our framework the Black-Scholes economy is obtained as the limiting case of perfectly liquid markets. The model is consistent with empirical studies on the effects of illiquidity on asset returns, volatilities and correlations. We present the model, study its qualitative properties and estimate stocks' sensitivities to aggregate liquidity ($\beta$s) using nine years data for 24 randomly sampled stocks traded on the NYSE. These sensitivity parameters ($\beta$s) determine the effect that aggregate illiquidity has on expected returns, volatilities, correlations, CAPM-betas and Sharpe ratios. We find clear capitalization and sector patterns for liquidity $\beta$s.

Suggested Citation

  • Celso Brunetti & Alessio Caldarera, 2006. "Asset Prices and asset Correlations in Illiquid Markets," Computing in Economics and Finance 2006 331, Society for Computational Economics.
    • Handle: RePEc:sce:scecfa:331
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    Cited by:

    1. Feng, Shih-Ping & Hung, Mao-Wei & Wang, Yaw-Huei, 2014. "Option pricing with stochastic liquidity risk: Theory and evidence," Journal of Financial Markets, Elsevier, vol. 18(C), pages 77-95.
    2. Feng, Shih-Ping & Hung, Mao-Wei & Wang, Yaw-Huei, 2016. "The importance of stock liquidity on option pricing," International Review of Economics & Finance, Elsevier, vol. 43(C), pages 457-467.
    3. Gao, Rui & Li, Yaqiong & Lin, Lisha, 2019. "Bayesian statistical inference for European options with stock liquidity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 518(C), pages 312-322.
    4. Marsili, Matteo & Raffaelli, Giacomo & Ponsot, Benedicte, 2009. "Dynamic instability in generic model of multi-assets markets," Journal of Economic Dynamics and Control, Elsevier, vol. 33(5), pages 1170-1181, May.
    5. Xingchun Wang, 2021. "Pricing vulnerable options with jump risk and liquidity risk," Review of Derivatives Research, Springer, vol. 24(3), pages 243-260, October.
    6. Ziming Dong & Dan Tang & Xingchun Wang, 2023. "Pricing vulnerable basket spread options with liquidity risk," Review of Derivatives Research, Springer, vol. 26(1), pages 23-50, April.
    7. Li, Zhe & Zhang, Wei-Guo & Liu, Yong-Jun, 2018. "Analytical valuation for geometric Asian options in illiquid markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 507(C), pages 175-191.
    8. Wang, Xingchun, 2022. "Pricing vulnerable options with stochastic liquidity risk," The North American Journal of Economics and Finance, Elsevier, vol. 60(C).
    9. Xu, De-xuan & Yang, Ben-zhang & Kang, Jian-hao & Huang, Nan-jing, 2021. "Variance and volatility swaps valuations with the stochastic liquidity risk," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 566(C).
    10. Li, Zhe & Zhang, Wei-Guo & Liu, Yong-Jun, 2018. "European quanto option pricing in presence of liquidity risk," The North American Journal of Economics and Finance, Elsevier, vol. 45(C), pages 230-244.
    11. Yongmin Zhang & Shusheng Ding & Meryem Duygun, 2019. "Derivatives pricing with liquidity risk," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 39(11), pages 1471-1485, November.

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    More about this item

    Keywords

    Market Liquidity; Volatilities; Correlations; Asset Pricing; GMM;
    All these keywords.

    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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