IDEAS home Printed from https://ideas.repec.org/a/taf/apmtfi/v26y2019i3p187-221.html
   My bibliography  Save this article

Short Maturity Forward Start Asian Options in Local Volatility Models

Author

Listed:
  • Dan Pirjol
  • Jing Wang
  • Lingjiong Zhu

Abstract

We study the short maturity asymptotics for prices of forward start Asian options under the assumption that the underlying asset follows a local volatility model. We obtain asymptotics for the cases of out-of-the-money, in-the-money, and at-the-money, considering both fixed strike and floating Asian options. The exponential decay of the price of an out-of-the-money forward start Asian option is handled using large deviations theory, and is controlled by a rate function which is given by a double-layer optimization problem. In the Black-Scholes model, the calculation of the rate function is simplified further to the solution of a non-linear equation. We obtain closed form for the rate function, as well as its asymptotic behavior when the strike is extremely large, small, or close to the initial price of the underlying asset.

Suggested Citation

  • Dan Pirjol & Jing Wang & Lingjiong Zhu, 2019. "Short Maturity Forward Start Asian Options in Local Volatility Models," Applied Mathematical Finance, Taylor & Francis Journals, vol. 26(3), pages 187-221, May.
    • Handle: RePEc:taf:apmtfi:v:26:y:2019:i:3:p:187-221
    DOI: 10.1080/1350486X.2019.1584533
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/1350486X.2019.1584533
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/1350486X.2019.1584533?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.

    Citations

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


    Cited by:

    1. Dan Pirjol, 2024. "Subleading correction to the Asian options volatility in the Black-Scholes model," Papers 2407.05142, arXiv.org, revised Aug 2024.
    2. Dan Pirjol & Lingjiong Zhu, 2023. "Asymptotics for Short Maturity Asian Options in Jump-Diffusion models with Local Volatility," Papers 2308.15672, arXiv.org, revised Feb 2024.
    3. Jaehyun Kim & Hyungbin Park & Jonghwa Park, 2019. "Pricing and hedging short-maturity Asian options in local volatility models," Papers 1911.12944, arXiv.org, revised Apr 2024.

    More about this item

    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:taf:apmtfi:v:26:y:2019:i:3:p:187-221. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/RAMF20 .

    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.