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Using Deep Learning to Hedge Rainbow Options

Author

Listed:
  • Thibault Collin

    (Université Paris Dauphine-PSL - PSL - Université Paris Sciences et Lettres)

Abstract
The general scope of this thesis will be to further study the application of artificial neural networks in the context of hedging rainbow options. Due to their inherently complex features, such as the correlated paths that the prices of their underlying assets take or their absence from traded markets, finding an optimal hedging strategy for rainbow options is difficult, and traders usually have to resort to models and methods they know are inaccurate. An alternative approach involving deep learning however recently surfaced in the context of hedging vanilla options [6], and researchers have started to see potential in the use of neural networks for options endowed with exotic features in [5], [12] and [22]. The key to a near-perfect hedge for contingent claims might be hidden behind the training of neural network algorithms [6], and the scope of this research will be to further investigate how those innovative hedging techniques can be extended to rainbow options [22], using recent research [21], and to compare our results with those proposed by the current models and techniques used by traders, such as running Monte-Carlo path simulations. In order to accomplish that, we will try to develop an algorithm capable of designing an innovative and optimal hedging strategy for rainbow options using some intuition developed to hedge vanilla options [21] and price exotics [5]. But although it was shown from past literature to be potentially efficient and cost-effective, the opaque nature of an artificial neural network will make it difficult for the deep learning algorithm to be fully trusted and used as a sole method for hedging purposes, but rather as an additional technique associated with other more reliable models.

Suggested Citation

  • Thibault Collin, 2023. "Using Deep Learning to Hedge Rainbow Options," Working Papers hal-04060013, HAL.
    • Handle: RePEc:hal:wpaper:hal-04060013
    Note: View the original document on HAL open archive server: https://hal.science/hal-04060013
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    File URL: https://hal.science/hal-04060013/document
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    References listed on IDEAS

    as
    1. Hutchinson, James M & Lo, Andrew W & Poggio, Tomaso, 1994. "A Nonparametric Approach to Pricing and Hedging Derivative Securities via Learning Networks," Journal of Finance, American Finance Association, vol. 49(3), pages 851-889, July.
    2. Stulz, ReneM., 1982. "Options on the minimum or the maximum of two risky assets : Analysis and applications," Journal of Financial Economics, Elsevier, vol. 10(2), pages 161-185, July.
    3. 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.
    4. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-654, May-June.
    5. Ryan Ferguson & Andrew Green, 2018. "Deeply Learning Derivatives," Papers 1809.02233, arXiv.org, revised Oct 2018.
    6. Vikranth Lokeshwar & Vikram Bhardawaj & Shashi Jain, 2019. "Neural network for pricing and universal static hedging of contingent claims," Papers 1911.11362, arXiv.org.
    7. Boyle, Phelim P., 1977. "Options: A Monte Carlo approach," Journal of Financial Economics, Elsevier, vol. 4(3), pages 323-338, May.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Quantitative finance; deep hedging; deep learning; machine learning; rainbow options; call options; call worst-of options; black scholes; geometric brownian motion;
    All these keywords.

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