IDEAS home Printed from https://ideas.repec.org/a/eee/finlet/v66y2024ics1544612324006469.html
   My bibliography  Save this article

Option pricing under market maker's inventory risk: A case study of China

Author

Listed:
  • Deng, Zhijian
  • Yao, Yuhang

Abstract

Recently the pivotal role of financial intermediaries, especially market makers, in the domain of option pricing has received significant attention. This study advances the modeling framework introduced by Fournier (2020) by incorporating market maker's inventory risk into option pricing for the Chinese market. Building on empirical findings, the dynamic of the ratio of market makers’ inventory risks to wealth is modified as continuous GARCH model. Moreover, we propose a general and innovative analytical formulation for option pricing and implied volatility, utilizing the auxiliary model method. The concluding empirical tests affirm the enhanced accuracy of our model over conventional approaches.

Suggested Citation

  • Deng, Zhijian & Yao, Yuhang, 2024. "Option pricing under market maker's inventory risk: A case study of China," Finance Research Letters, Elsevier, vol. 66(C).
  • Handle: RePEc:eee:finlet:v:66:y:2024:i:c:s1544612324006469
    DOI: 10.1016/j.frl.2024.105616
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S1544612324006469
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.frl.2024.105616?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Kristensen, Dennis & Mele, Antonio, 2011. "Adding and subtracting Black-Scholes: A new approach to approximating derivative prices in continuous-time models," Journal of Financial Economics, Elsevier, vol. 102(2), pages 390-415.
    2. Dmitriy Muravyev, 2016. "Order Flow and Expected Option Returns," Journal of Finance, American Finance Association, vol. 71(2), pages 673-708, April.
    3. Brian H. Boyer & Keith Vorkink, 2014. "Stock Options as Lotteries," Journal of Finance, American Finance Association, vol. 69(4), pages 1485-1527, August.
    4. Hui Chen & Scott Joslin & Sophie X. Ni, 2019. "Demand for Crash Insurance, Intermediary Constraints, and Risk Premia in Financial Markets," NBER Working Papers 25573, National Bureau of Economic Research, Inc.
    5. Carr, Peter & Wu, Liuren, 2016. "Analyzing volatility risk and risk premium in option contracts: A new theory," Journal of Financial Economics, Elsevier, vol. 120(1), pages 1-20.
    6. Fournier, Mathieu & Jacobs, Kris, 2020. "A Tractable Framework for Option Pricing with Dynamic Market Maker Inventory and Wealth," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 55(4), pages 1117-1162, June.
    7. Yacine Aït-Sahalia & Chenxu Li & Chen Xu Li, 2021. "Implied Stochastic Volatility Models [Testing continuous-time models of the spot interest rate]," The Review of Financial Studies, Society for Financial Studies, vol. 34(1), pages 394-450.
    8. Hui Chen & Scott Joslin & Sophie Xiaoyan Ni, 2019. "Demand for Crash Insurance, Intermediary Constraints, and Risk Premia in Financial Markets," The Review of Financial Studies, Society for Financial Studies, vol. 32(1), pages 228-265.
    9. Bates, David S., 2003. "Empirical option pricing: a retrospection," Journal of Econometrics, Elsevier, vol. 116(1-2), pages 387-404.
    10. Yacine Aït-Sahalia & Chenxu Li & Chen Xu Li & Ralph Koijen, 2021. "Implied Stochastic Volatility Models," Review of Economic Studies, Oxford University Press, vol. 34(1), pages 394-450.
    11. Alexey Medvedev & Olivier Scaillet, 2007. "Approximation and Calibration of Short-Term Implied Volatilities Under Jump-Diffusion Stochastic Volatility," The Review of Financial Studies, Society for Financial Studies, vol. 20(2), pages 427-459.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Ramachandran, Lakshmi Shankar & Tayal, Jitendra, 2021. "Mispricing, short-sale constraints, and the cross-section of option returns," Journal of Financial Economics, Elsevier, vol. 141(1), pages 297-321.
    2. Liexin Cheng & Xue Cheng, 2024. "Short-Term Asymptotics of Volatility Skew and Curvature Based on Cumulants," Papers 2401.03776, arXiv.org, revised Nov 2024.
    3. Gruenthaler, Thomas & Lorenz, Friedrich & Meyerhof, Paul, 2022. "Option-based intermediary leverage," Journal of Banking & Finance, Elsevier, vol. 145(C).
    4. Stylianos Perrakis, 2022. "From innovation to obfuscation: continuous time finance fifty years later," Financial Markets and Portfolio Management, Springer;Swiss Society for Financial Market Research, vol. 36(3), pages 369-401, September.
    5. George M. Constantinides & Michal Czerwonko & Stylianos Perrakis, 2020. "Mispriced index option portfolios," Financial Management, Financial Management Association International, vol. 49(2), pages 297-330, June.
    6. Sonnan Chen & Yuchi Gu, 2021. "Joint estimation of volatility risk and tail risk premia with time-varying macro-state-dependent property," Review of Quantitative Finance and Accounting, Springer, vol. 56(4), pages 1357-1397, May.
    7. Aït-Sahalia, Yacine & Li, Chenxu & Li, Chen Xu, 2021. "Closed-form implied volatility surfaces for stochastic volatility models with jumps," Journal of Econometrics, Elsevier, vol. 222(1), pages 364-392.
    8. Davide E Avino & Enrique Salvador, 2024. "Contingent Claims and Hedging of Credit Risk with Equity Options," The Review of Asset Pricing Studies, Society for Financial Studies, vol. 14(2), pages 310-348.
    9. Mi‐Hsiu Chiang & Hsin‐Yu Chiu & Robin K. Chou, 2021. "Relevance of the disposition effect on the options market: New evidence," Financial Management, Financial Management Association International, vol. 50(1), pages 75-106, March.
    10. Kanne, Stefan & Korn, Olaf & Uhrig-Homburg, Marliese, 2023. "Stock illiquidity and option returns," Journal of Financial Markets, Elsevier, vol. 63(C).
    11. Augustin, Patrick & Brenner, Menachem & Grass, Gunnar & Subrahmanyam, Marti G., 2016. "How do insiders trade?," CFS Working Paper Series 541, Center for Financial Studies (CFS).
    12. Borochin, Paul & Wu, Zekun & Zhao, Yanhui, 2021. "The effect of option-implied skewness on delta- and vega-hedged option returns," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 74(C).
    13. Ruan, Xinfeng & Zhang, Jin E., 2018. "Risk-neutral moments in the crude oil market," Energy Economics, Elsevier, vol. 72(C), pages 583-600.
    14. Shuzhen Yang & Wenqing Zhang, 2023. "Fixed-point iterative algorithm for SVI model," Papers 2301.07830, arXiv.org.
    15. Ke-Li Xu & Junjie Guo, 2021. "A New Test for Multiple Predictive Regression," CAEPR Working Papers 2022-001 Classification-C, Center for Applied Economics and Policy Research, Department of Economics, Indiana University Bloomington.
    16. Doshi, Hitesh & Ericsson, Jan & Fournier, Mathieu & Seo, Sang Byung, 2024. "The risk and return of equity and credit index options," Journal of Financial Economics, Elsevier, vol. 161(C).
    17. Luiz Félix & Roman Kräussl & Philip Stork, 2020. "Implied volatility sentiment: a tale of two tails," Quantitative Finance, Taylor & Francis Journals, vol. 20(5), pages 823-849, May.
    18. Feng, Xu & Lu, Lei & Xiao, Yajun, 2020. "Shadow banks, leverage risks, and asset prices," Journal of Economic Dynamics and Control, Elsevier, vol. 111(C).
    19. Xiu, Dacheng, 2014. "Hermite polynomial based expansion of European option prices," Journal of Econometrics, Elsevier, vol. 179(2), pages 158-177.
    20. Jarno Talponen, 2018. "Matching distributions: Recovery of implied physical densities from option prices," Papers 1803.03996, arXiv.org.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:finlet:v:66:y:2024:i:c:s1544612324006469. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/frl .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.