IDEAS home Printed from https://ideas.repec.org/p/arx/papers/0908.3661.html
   My bibliography  Save this paper

Applications of weak convergence for hedging of game options

Author

Listed:
  • Yan Dolinsky

Abstract

In this paper we consider Dynkin's games with payoffs which are functions of an underlying process. Assuming extended weak convergence of underlying processes $\{S^{(n)}\}_{n=0}^{\infty}$ to a limit process $S$ we prove convergence Dynkin's games values corresponding to $\{S^{(n)}\}_{n=0}^{\infty}$ to the Dynkin's game value corresponding to $S$. We use these results to approximate game options prices with path dependent payoffs in continuous time models by a sequence of game options prices in discrete time models which can be calculated by dynamical programming algorithms. In comparison to previous papers we work under more general convergence of underlying processes, as well as weaker conditions on the payoffs.

Suggested Citation

  • Yan Dolinsky, 2009. "Applications of weak convergence for hedging of game options," Papers 0908.3661, arXiv.org, revised Nov 2010.
    • Handle: RePEc:arx:papers:0908.3661
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/0908.3661
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Damien Lamberton, 1993. "Convergence of the Critical Price In the Approximation of American Options," Mathematical Finance, Wiley Blackwell, vol. 3(2), pages 179-190, April.
    2. Maurizio Pratelli & Sabrina Mulinacci, 1998. "Functional convergence of Snell envelopes: Applications to American options approximations," Finance and Stochastics, Springer, vol. 2(3), pages 311-327.
    3. Huisman, K.J.M., 2000. "Technology investment : A game theoretic real options approach," Other publications TiSEM f35e7474-93d7-4140-8614-f, Tilburg University, School of Economics and Management.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Yuri Kifer, 2020. "Error estimates for discrete approximations of game options with multivariate diffusion asset prices," Papers 2012.01257, arXiv.org, revised Dec 2021.

    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. Anna Battauz & Francesco Rotondi, 2022. "American options and stochastic interest rates," Computational Management Science, Springer, vol. 19(4), pages 567-604, October.
    2. José Azevedo‐Pereira & Gualter Couto & Cláudia Nunes, 2010. "Optimal timing of relocation," International Journal of Managerial Finance, Emerald Group Publishing Limited, vol. 6(2), pages 143-163, April.
    3. Blanka Horvath & Antoine Jacquier & Aitor Muguruza & Andreas Søjmark, 2024. "Functional central limit theorems for rough volatility," Finance and Stochastics, Springer, vol. 28(3), pages 615-661, July.
    4. Gong, X., 2001. "Empirical studies on the labor market and on consumer demand," Other publications TiSEM eed29455-f1bf-4cc3-aff5-c, Tilburg University, School of Economics and Management.
    5. Blanka Horvath & Antoine Jacquier & Aitor Muguruza & Andreas Sojmark, 2017. "Functional central limit theorems for rough volatility," Papers 1711.03078, arXiv.org, revised Nov 2023.
    6. repec:dau:papers:123456789/5374 is not listed on IDEAS
    7. Mark Broadie & Jérôme Detemple, 1996. "Recent Advances in Numerical Methods for Pricing Derivative Securities," CIRANO Working Papers 96s-17, CIRANO.
    8. Ross A. Maller & David H. Solomon & Alex Szimayer, 2006. "A Multinomial Approximation For American Option Prices In Lévy Process Models," Mathematical Finance, Wiley Blackwell, vol. 16(4), pages 613-633, October.
    9. Anna Battauz & Francesco Rotondi, 2024. "Optimal liquidation policies of redeemable shares," Computational Management Science, Springer, vol. 21(2), pages 1-32, December.
    10. Camlibel, M.K., 2001. "Complementarity methods in the analysis of piecewise linear dynamical systems," Other publications TiSEM c3e08484-56d2-4f1a-9db0-8, Tilburg University, School of Economics and Management.
    11. Minqiang Li, 2010. "A quasi-analytical interpolation method for pricing American options under general multi-dimensional diffusion processes," Review of Derivatives Research, Springer, vol. 13(2), pages 177-217, July.
    12. Horvath, Blanka & Jacquier, Antoine & Muguruza, Aitor & Søjmark, Andreas, 2024. "Functional central limit theorems for rough volatility," LSE Research Online Documents on Economics 122848, London School of Economics and Political Science, LSE Library.
    13. Konovalov, A., 2001. "Essays in general equilibrium theory," Other publications TiSEM fece7269-5d1e-47b9-a21c-6, Tilburg University, School of Economics and Management.
    14. Timmer, J.B., 2001. "Cooperative behaviour, uncertainty and operations research," Other publications TiSEM 4a00d965-b7c4-4f43-8f76-5, Tilburg University, School of Economics and Management.
    15. Conlon, B.J., 2001. "Consumer rationality in choice," Other publications TiSEM 871f3881-187f-4197-8162-4, Tilburg University, School of Economics and Management.
    16. Roosenboom, P.G.J., 2002. "Corporate governance mechanisms in IPO firms," Other publications TiSEM 70d9c457-8e98-4dde-89be-d, Tilburg University, School of Economics and Management.
    17. van Benthem, A.A. & Kramer, G.J. & Ramer, R., 2006. "An options approach to investment in a hydrogen infrastructure," Energy Policy, Elsevier, vol. 34(17), pages 2949-2963, November.
    18. Libo Li & Ruyi Liu & Marek Rutkowski, 2022. "Vulnerable European and American Options in a Market Model with Optional Hazard Process," Papers 2212.12860, arXiv.org.
    19. Bellemare, C., 2004. "Microeconometric essays on migration, trust and Satisfaction," Other publications TiSEM e1e9cd8e-64ac-45df-9611-6, Tilburg University, School of Economics and Management.
    20. Stremersch, S., 2001. "Essays on marketing strategy in technology-intensive markets," Other publications TiSEM 51d17923-2aae-485b-a59b-5, Tilburg University, School of Economics and Management.
    21. Zhenyu Cui & Anne MacKay & Marie-Claude Vachon, 2022. "Analysis of VIX-linked fee incentives in variable annuities via continuous-time Markov chain approximation," Papers 2207.14793, arXiv.org.

    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:0908.3661. 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: http://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.