IDEAS home Printed from https://ideas.repec.org/p/arx/papers/2604.26151.html

Pricing with Passion: The Local Occupied Volatility (LOV) Model

Author

Listed:
  • Valentin Tissot-Daguette

Abstract

We introduce the Local Occupied Volatility (LOV) model that sits between Dupire's local volatility and fully path-dependent dynamics. By design, the LOV model ensures automatic calibration to European vanilla options, while offering the flexibility to capture stylized facts of volatility or fit additional instruments. This is achieved by tuning the occupation sensitivity function that quantifies the effect of path-dependent shocks on volatility. We validate the model through the joint American-European calibration of options chain on non-dividend paying stocks.

Suggested Citation

  • Valentin Tissot-Daguette, 2026. "Pricing with Passion: The Local Occupied Volatility (LOV) Model," Papers 2604.26151, arXiv.org.
  • Handle: RePEc:arx:papers:2604.26151
    as

    Download full text from publisher

    File URL: https://arxiv.org/pdf/2604.26151
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Longstaff, Francis A & Schwartz, Eduardo S, 2001. "Valuing American Options by Simulation: A Simple Least-Squares Approach," The Review of Financial Studies, Society for Financial Studies, vol. 14(1), pages 113-147.
    2. Julien Guyon & Jordan Lekeufack, 2023. "Volatility is (mostly) path-dependent," Post-Print hal-04373380, HAL.
    3. Julien Guyon & Jordan Lekeufack, 2023. "Volatility is (mostly) path-dependent," Quantitative Finance, Taylor & Francis Journals, vol. 23(9), pages 1221-1258, September.
    4. Valentin Tissot-Daguette & Xin Zhang, 2026. "Cylindrical Projections of Occupied Diffusions," Papers 2604.25001, arXiv.org.
    5. O. Burkovska & M. Gass & K. Glau & M. Mahlstedt & W. Schoutens & B. Wohlmuth, 2018. "Calibration to American options: numerical investigation of the de-Americanization method," Quantitative Finance, Taylor & Francis Journals, vol. 18(7), pages 1091-1113, July.
    6. Robert C. Merton, 2005. "Theory of rational option pricing," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 8, pages 229-288, World Scientific Publishing Co. Pte. Ltd..
    7. Peter Pommergård Lind & Jim Gatheral, 2025. "NN de-Americanization: an efficient method to facilitate calibration of American-style options," Quantitative Finance, Taylor & Francis Journals, vol. 25(1), pages 1-16, January.
    8. Longstaff, Francis A & Schwartz, Eduardo S, 2001. "Valuing American Options by Simulation: A Simple Least-Squares Approach," University of California at Los Angeles, Anderson Graduate School of Management qt43n1k4jb, Anderson Graduate School of Management, UCLA.
    9. David G. Hobson & L. C. G. Rogers, 1998. "Complete Models with Stochastic Volatility," Mathematical Finance, Wiley Blackwell, vol. 8(1), pages 27-48, January.
    10. A. Max Reppen & H. Mete Soner & Valentin Tissot-Daguette, 2023. "Deep stochastic optimization in finance," Digital Finance, Springer, vol. 5(1), pages 91-111, March.
    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. Valentin Tissot-Daguette, 2023. "Occupied Processes: Going with the Flow," Papers 2311.07936, arXiv.org, revised Apr 2026.
    2. Christian Bayer & Luca Pelizzari & John Schoenmakers, 2023. "Primal and dual optimal stopping with signatures," Papers 2312.03444, arXiv.org, revised Feb 2025.
    3. Domagoj Demeterfi & Kathrin Glau & Linus Wunderlich, 2025. "Function approximations for counterparty credit exposure calculations," Papers 2507.09004, arXiv.org.
    4. Weihan Li & Jin E. Zhang & Xinfeng Ruan & Pakorn Aschakulporn, 2024. "An empirical study on the early exercise premium of American options: Evidence from OEX and XEO options," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 44(7), pages 1117-1153, July.
    5. Slaa, Chad Te & Elliott, Lisa & Elliott, Matthew, 2017. "Performance of the Producer Accumulator in Corn and Soybean Commodity Markets," 2017 Conference, April 24-25, 2017, St. Louis, Missouri 285880, NCR-134/ NCCC-134 Applied Commodity Price Analysis, Forecasting, and Market Risk Management.
    6. Lars Stentoft, 2008. "American Option Pricing Using GARCH Models and the Normal Inverse Gaussian Distribution," Journal of Financial Econometrics, Oxford University Press, vol. 6(4), pages 540-582, Fall.
    7. David Laughton & Raul Guerrero & Donald Lessard, 2008. "Real Asset Valuation: A Back‐to‐basics Approach," Journal of Applied Corporate Finance, Morgan Stanley, vol. 20(2), pages 46-65, March.
    8. Lars Stentoft, 2008. "Option Pricing using Realized Volatility," CREATES Research Papers 2008-13, Department of Economics and Business Economics, Aarhus University.
    9. In oon Kim & Bong-Gyu Jang & Kyeong Tae Kim, 2013. "A simple iterative method for the valuation of American options," Quantitative Finance, Taylor & Francis Journals, vol. 13(6), pages 885-895, May.
    10. Li, Chenxu & Ye, Yongxin, 2019. "Pricing and Exercising American Options: an Asymptotic Expansion Approach," Journal of Economic Dynamics and Control, Elsevier, vol. 107(C), pages 1-1.
    11. Oleksandr Zhylyevskyy, 2010. "A fast Fourier transform technique for pricing American options under stochastic volatility," Review of Derivatives Research, Springer, vol. 13(1), pages 1-24, April.
    12. Duffie, Darrell, 2003. "Intertemporal asset pricing theory," Handbook of the Economics of Finance, in: G.M. Constantinides & M. Harris & R. M. Stulz (ed.), Handbook of the Economics of Finance, edition 1, volume 1, chapter 11, pages 639-742, Elsevier.
    13. Minting Zhu & Mancang Wang & Jingyu Wu, 2024. "An Option Pricing Formula for Active Hedging Under Logarithmic Investment Strategy," Mathematics, MDPI, vol. 12(23), pages 1-20, December.
    14. Farid AitSahlia & Manisha Goswami & Suchandan Guha, 2010. "American option pricing under stochastic volatility: an efficient numerical approach," Computational Management Science, Springer, vol. 7(2), pages 171-187, April.
    15. Ben Hambly & Renyuan Xu & Huining Yang, 2021. "Recent Advances in Reinforcement Learning in Finance," Papers 2112.04553, arXiv.org, revised Feb 2023.
    16. Marzouk, Mohamed & Ali, Mohamed, 2018. "Mitigating risks in wastewater treatment plant PPPs using minimum revenue guarantee and real options," Utilities Policy, Elsevier, vol. 53(C), pages 121-133.
    17. Lukito Adi Nugroho, 2017. "Real options valuation of franchise territorial exclusivity," Cogent Business & Management, Taylor & Francis Journals, vol. 4(1), pages 1262490-126, January.
    18. Chen, Ding & Härkönen, Hannu J. & Newton, David P., 2014. "Advancing the universality of quadrature methods to any underlying process for option pricing," Journal of Financial Economics, Elsevier, vol. 114(3), pages 600-612.
    19. Varli, Yusuf & Yildirim, Yildiray, 2015. "Default and prepayment modelling in participating mortgages," Journal of Banking & Finance, Elsevier, vol. 61(C), pages 81-88.
    20. Spiros H. Martzoukos & Nayia Pospori & Lenos Trigeorgis, 2024. "Corporate investment decisions with switch flexibility, constraints, and path-dependency," Review of Quantitative Finance and Accounting, Springer, vol. 62(3), pages 1223-1250, April.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    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:arx:papers:2604.26151. 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: arXiv administrators (email available below). General contact details of provider: https://arxiv.org/ .

    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.