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On Kolmogorov equations for anisotropic multivariate Lévy processes

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  • N. Reich
  • C. Schwab
  • C. Winter

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  • N. Reich & C. Schwab & C. Winter, 2010. "On Kolmogorov equations for anisotropic multivariate Lévy processes," Finance and Stochastics, Springer, vol. 14(4), pages 527-567, December.
    • Handle: RePEc:spr:finsto:v:14:y:2010:i:4:p:527-567
    DOI: 10.1007/s00780-009-0108-x
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    References listed on IDEAS

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    1. Kallsen, Jan & Tankov, Peter, 2006. "Characterization of dependence of multidimensional Lévy processes using Lévy copulas," Journal of Multivariate Analysis, Elsevier, vol. 97(7), pages 1551-1572, August.
    2. Freddy Delbaen & Peter Grandits & Thorsten Rheinländer & Dominick Samperi & Martin Schweizer & Christophe Stricker, 2002. "Exponential Hedging and Entropic Penalties," Mathematical Finance, Wiley Blackwell, vol. 12(2), pages 99-123, April.
    3. ,, 2004. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 20(2), pages 427-429, April.
    4. Svetlana I. Boyarchenko & Sergei Z. Levendorskiĭ, 2002. "Barrier options," World Scientific Book Chapters, in: Non-Gaussian Merton-Black-Scholes Theory, chapter 8, pages 185-198, World Scientific Publishing Co. Pte. Ltd..
    5. Rama Cont & Ekaterina Voltchkova, 2005. "Integro-differential equations for option prices in exponential Lévy models," Finance and Stochastics, Springer, vol. 9(3), pages 299-325, July.
    6. ,, 2004. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 20(1), pages 223-229, February.
    7. Ernst Eberlein & Jean Jacod, 1997. "On the range of options prices (*)," Finance and Stochastics, Springer, vol. 1(2), pages 131-140.
    8. Rama Cont & Ekaterina Voltchkova, 2005. "A Finite Difference Scheme for Option Pricing in Jump Diffusion and Exponential Lévy Models," Post-Print halshs-00445645, HAL.
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    Citations

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    Cited by:

    1. Nemat Safarov & Colin Atkinson, 2016. "Natural gas-fired power plants valuation and optimisation under Levy copulas and regime-switching," Papers 1607.01207, arXiv.org, revised Jul 2016.
    2. Leila Khodayari & Mojtaba Ranjbar, 2017. "A Numerical Method to Approximate Multi-Asset Option Pricing Under Exponential Lévy Model," Computational Economics, Springer;Society for Computational Economics, vol. 50(2), pages 189-205, August.
    3. Nemat Safarov & Colin Atkinson, 2017. "Natural Gas-Fired Power Plants Valuation And Optimization Under Lévy Copulas And Regime Switching," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 20(01), pages 1-38, February.

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    More about this item

    Keywords

    Lévy copulas; Lévy processes; Integro-differential equations; Pseudo-differential operators; Dirichlet forms; Option pricing; 45K05; 60J75; 65M60; C02;
    All these keywords.

    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics

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