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    Time changes, laplace transforms and path-dependent options

    Geman, Hélyette (2001) Time changes, laplace transforms and path-dependent options. Computational Economics 17 , pp. 81-92. ISSN 0927-7099.

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    Path-dependent options have become increasingly popular over the last few years, in particular in FX markets, because of the greater precision with which they allow investors to choose or avoid exposure to well-defined sources of risk. The goal of the paper is to exhibit the power of stochastic time changes and Laplace transform techniques in the evaluation and hedging of path-dependent options in the Black–Scholes–Merton setting. We illustrate these properties in the specific case of Asian options and continuously (de-) activating double-barrier options and show that in both cases, the pricing and, just as important, the hedging results are more accurate than the ones obtained through Monte Carlo simulations.


    Item Type: Article
    School: Birkbeck Faculties and Schools > Faculty of Business and Law > Birkbeck Business School
    Depositing User: Sarah Hall
    Date Deposited: 09 Jun 2020 08:47
    Last Modified: 02 Aug 2023 18:00


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