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Option pricing with stochastic liquidity risk: Theory and evidence

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  • Feng, Shih-Ping
  • Hung, Mao-Wei
  • Wang, Yaw-Huei

Abstract

This study develops a liquidity-adjusted option pricing model that demonstrates the impact of the liquidity risk on stock prices using a liquidity discount factor. The discount factor relates to both mean-reversion stochastic market liquidity and the sensitivity of stock prices to market illiquidity. Our empirical results provide strong evidence in support of incorporating liquidity risk in options pricing. In particular, our model shows marked pricing improvement for out-of-the-money or longer term options, as well as options on stocks with lower levels of liquidity.

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  • 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.
    • Handle: RePEc:eee:finmar:v:18:y:2014:i:c:p:77-95
    DOI: 10.1016/j.finmar.2013.05.002
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    1. Acharya, Viral V. & Pedersen, Lasse Heje, 2005. "Asset pricing with liquidity risk," Journal of Financial Economics, Elsevier, vol. 77(2), pages 375-410, August.
    2. Vicky Henderson, 2005. "Analytical Comparisons Of Option Prices In Stochastic Volatility Models," Mathematical Finance, Wiley Blackwell, vol. 15(1), pages 49-59, January.
    3. Brennan, Michael J. & Subrahmanyam, Avanidhar, 1996. "Market microstructure and asset pricing: On the compensation for illiquidity in stock returns," Journal of Financial Economics, Elsevier, vol. 41(3), pages 441-464, July.
    4. Aitken, Michael & Comerton-Forde, Carole, 2003. "How should liquidity be measured?," Pacific-Basin Finance Journal, Elsevier, vol. 11(1), pages 45-59, January.
    5. Francis A. Longstaff & Sanjay Mithal & Eric Neis, 2005. "Corporate Yield Spreads: Default Risk or Liquidity? New Evidence from the Credit Default Swap Market," Journal of Finance, American Finance Association, vol. 60(5), pages 2213-2253, October.
    6. Alessio Caldarera & Celso Brunetti, 2005. "Asset Prices and Asset Correlations in Illiquid Markets," 2005 Meeting Papers 288, Society for Economic Dynamics.
    7. Bakshi, Gurdip & Cao, Charles & Chen, Zhiwu, 1997. "Empirical Performance of Alternative Option Pricing Models," Journal of Finance, American Finance Association, vol. 52(5), pages 2003-2049, December.
    8. Cao, Melanie & Wei, Jason, 2010. "Option market liquidity: Commonality and other characteristics," Journal of Financial Markets, Elsevier, vol. 13(1), pages 20-48, February.
    9. Ramazan Genay & Faruk Seļuk & Brandon Whitcher, 2003. "Systematic risk and timescales," Quantitative Finance, Taylor & Francis Journals, vol. 3(2), pages 108-116.
    10. U. Çetin & R. Jarrow & P. Protter & M. Warachka, 2008. "Pricing Options in an Extended Black Scholes Economy with Illiquidity: Theory and Empirical Evidence," World Scientific Book Chapters, in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 9, pages 185-221, World Scientific Publishing Co. Pte. Ltd..
    11. Heston, Steven L, 1993. "A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options," The Review of Financial Studies, Society for Financial Studies, vol. 6(2), pages 327-343.
    12. Pastor, Lubos & Stambaugh, Robert F., 2003. "Liquidity Risk and Expected Stock Returns," Journal of Political Economy, University of Chicago Press, vol. 111(3), pages 642-685, June.
    13. Vicky Henderson & David Hobson & Sam Howison & Tino Kluge, 2005. "A Comparison of Option Prices Under Different Pricing Measures in a Stochastic Volatility Model with Correlation," Review of Derivatives Research, Springer, vol. 8(1), pages 5-25, June.
    14. Manaster, Steven & Rendleman, Richard J, Jr, 1982. "Option Prices as Predictors of Equilibrium Stock Prices," Journal of Finance, American Finance Association, vol. 37(4), pages 1043-1057, September.
    15. Jia-Hau Guo & Mao-Wei Hung, 2007. "A Note on the Discontinuity Problem in Heston's Stochastic Volatility Model," Applied Mathematical Finance, Taylor & Francis Journals, vol. 14(4), pages 339-345.
    16. Robert S.Harris & Felicia C. Marston, 1992. "Estimating Shareholder Risk Premia Using Analysts' Growth Forecasts," Financial Management, Financial Management Association, vol. 21(2), Summer.
    17. Amihud, Yakov, 2002. "Illiquidity and stock returns: cross-section and time-series effects," Journal of Financial Markets, Elsevier, vol. 5(1), pages 31-56, January.
    18. Chordia, Tarun & Roll, Richard & Subrahmanyam, Avanidhar, 2000. "Commonality in liquidity," Journal of Financial Economics, Elsevier, vol. 56(1), pages 3-28, April.
    19. Ajay Subramanian & Robert A. Jarrow, 2001. "The Liquidity Discount," Mathematical Finance, Wiley Blackwell, vol. 11(4), pages 447-474, October.
    20. David Hobson, 2004. "STOCHASTIC VOLATILITY MODELS, CORRELATION, AND THE q‐OPTIMAL MEASURE," Mathematical Finance, Wiley Blackwell, vol. 14(4), pages 537-556, October.
    21. Liu, Hong & Yong, Jiongmin, 2005. "Option pricing with an illiquid underlying asset market," Journal of Economic Dynamics and Control, Elsevier, vol. 29(12), pages 2125-2156, December.
    22. MacBeth, James D & Merville, Larry J, 1979. "An Empirical Examination of the Black-Scholes Call Option Pricing Model," Journal of Finance, American Finance Association, vol. 34(5), pages 1173-1186, December.
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    Cited by:

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    6. 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.
    7. Li, Zhe & Zhang, Wei-Guo & Liu, Yong-Jun & Zhang, Yue, 2019. "Pricing discrete barrier options under jump-diffusion model with liquidity risk," International Review of Economics & Finance, Elsevier, vol. 59(C), pages 347-368.
    8. Xingchun Wang, 2021. "Pricing vulnerable options with jump risk and liquidity risk," Review of Derivatives Research, Springer, vol. 24(3), pages 243-260, October.
    9. Chuang, Ming-Che & Tsai, Jeffrey Tzuhao, 2024. "Determining bid-ask prices for options with stochastic illiquidity and applications to index options," Pacific-Basin Finance Journal, Elsevier, vol. 84(C).
    10. Li, Zhe & Zhang, Weiguo & Zhang, Yue & Yi, Zhigao, 2019. "An analytical approximation approach for pricing European options in a two-price economy," The North American Journal of Economics and Finance, Elsevier, vol. 50(C).
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    12. 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.
    13. Puneet Pasricha & Song-Ping Zhu & Xin-Jiang He, 2022. "A closed-form pricing formula for European options in an illiquid asset market," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 8(1), pages 1-18, December.
    14. He, Xin-Jiang & Lin, Sha, 2023. "Analytically pricing variance and volatility swaps under a Markov-modulated model with liquidity risks," The North American Journal of Economics and Finance, Elsevier, vol. 67(C).
    15. 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.
    16. Wang, Xingchun, 2022. "Pricing vulnerable options with stochastic liquidity risk," The North American Journal of Economics and Finance, Elsevier, vol. 60(C).
    17. 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).
    18. 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.
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    More about this item

    Keywords

    Option pricing; Liquidity risk; Liquidity discount factor;
    All these keywords.

    JEL classification:

    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

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