IDEAS home Printed from https://ideas.repec.org/p/arx/papers/1803.02486.html
   My bibliography  Save this paper

Pricing index options by static hedging under finite liquidity

Author

Listed:
  • John Armstrong
  • Teemu Pennanen
  • Udomsak Rakwongwan

Abstract

We develop a model for indifference pricing in derivatives markets where price quotes have bid-ask spreads and finite quantities. The model quantifies the dependence of the prices and hedging portfolios on an investor's beliefs, risk preferences and financial position as well as on the price quotes. Computational techniques of convex optimisation allow for fast computation of the hedging portfolios and prices as well as sensitivities with respect to various model parameters. We illustrate the techniques by pricing and hedging of exotic derivatives on S&P index using call and put options, forward contracts and cash as the hedging instruments. The optimized static hedges provide good approximations of the options payouts and the spreads between indifference selling and buying prices are quite narrow as compared with the spread between super- and subhedging prices.

Suggested Citation

  • John Armstrong & Teemu Pennanen & Udomsak Rakwongwan, 2018. "Pricing index options by static hedging under finite liquidity," Papers 1803.02486, arXiv.org.
  • Handle: RePEc:arx:papers:1803.02486
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/1803.02486
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Alan J. King & Matti Koivu & Teemu Pennanen, 2005. "Calibrated Option Bounds," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 8(02), pages 141-159.
    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. Teemu Pennanen & Udomsak Rakwongwan, 2020. "Optimal semi-static hedging in illiquid markets," Papers 2008.01463, arXiv.org.

    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. John Armstrong & Teemu Pennanen & Udomsak Rakwongwan, 2018. "Pricing Index Options By Static Hedging Under Finite Liquidity," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 21(06), pages 1-18, September.
    2. Consiglio, Andrea & Zenios, Stavros A., 2018. "Pricing and hedging GDP-linked bonds in incomplete markets," Journal of Economic Dynamics and Control, Elsevier, vol. 88(C), pages 137-155.
    3. Consiglio, Andrea & De Giovanni, Domenico, 2008. "Evaluation of insurance products with guarantee in incomplete markets," Insurance: Mathematics and Economics, Elsevier, vol. 42(1), pages 332-342, February.
    4. José L. Vilar-Zanón & Barbara Rogo, 2024. "Pricing and Hedging Contingent Claims by Entropy Segmentation and Fenchel Duality," Methodology and Computing in Applied Probability, Springer, vol. 26(4), pages 1-20, December.
    5. Martin Glanzer & Georg Ch. Pflug & Alois Pichler, 2017. "Incorporating statistical model error into the calculation of acceptability prices of contingent claims," Papers 1703.05709, arXiv.org, revised Jan 2019.
    6. Geyer, Alois & Hanke, Michael & Weissensteiner, Alex, 2014. "No-arbitrage bounds for financial scenarios," European Journal of Operational Research, Elsevier, vol. 236(2), pages 657-663.

    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:arx:papers:1803.02486. 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.