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Closed-form asymptotics and numerical approximations of 1{D} parabolic equations with applications to option pricing

Author

Listed:
  • Victor Nistor

    (LMAM - Laboratoire de Mathématiques et Applications de Metz - UPVM - Université Paul Verlaine - Metz - CNRS - Centre National de la Recherche Scientifique)

  • Wen Cheng
  • Nick Costanzino
  • John Liechty
  • Anna L. Mazzucato

    (Penn State - Pennsylvania State University - Penn State System)

Abstract

No abstract is available for this item.

Suggested Citation

  • Victor Nistor & Wen Cheng & Nick Costanzino & John Liechty & Anna L. Mazzucato, 2011. "Closed-form asymptotics and numerical approximations of 1{D} parabolic equations with applications to option pricing," Post-Print hal-01284880, HAL.
  • Handle: RePEc:hal:journl:hal-01284880
    DOI: 10.1137/100796832
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    Citations

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    Cited by:

    1. Lingjiong Zhu, 2015. "Short maturity options for Azéma–Yor martingales," International Journal of Financial Engineering (IJFE), World Scientific Publishing Co. Pte. Ltd., vol. 2(04), pages 1-32, December.
    2. Lingjiong Zhu, 2015. "Options with Extreme Strikes," Risks, MDPI, vol. 3(3), pages 1-16, July.
    3. Pagliarani, Stefano & Pascucci, Andrea, 2011. "Analytical approximation of the transition density in a local volatility model," MPRA Paper 31107, University Library of Munich, Germany.
    4. Dan Pirjol & Lingjiong Zhu, 2024. "Short-maturity asymptotics for option prices with interest rates effects," Papers 2402.14161, arXiv.org.
    5. Matthew Lorig & Stefano Pagliarani & Andrea Pascucci, 2013. "Analytical expansions for parabolic equations," Papers 1312.3314, arXiv.org, revised Nov 2014.
    6. Olesya Grishchenko & Xiao Han & Victor Nistor, 2018. "A volatility-of-volatility expansion of the option prices in the SABR stochastic volatility model," Papers 1812.09904, arXiv.org.
    7. Siyan Zhang & Anna L. Mazzucato & Victor Nistor, 2016. "Heat Kernels, Solvable Lie Groups, and the Mean Reverting SABR Stochastic Volatility Model," Papers 1605.03097, arXiv.org.
    8. Dan Pirjol & Lingjiong Zhu, 2016. "Short Maturity Asian Options in Local Volatility Models," Papers 1609.07559, arXiv.org.
    9. Humayra Shoshi & Indranil SenGupta, 2023. "Some asymptotics for short maturity Asian options," Papers 2302.05421, arXiv.org, revised Sep 2024.
    10. Dan Pirjol & Lingjiong Zhu, 2017. "Short Maturity Asian Options for the CEV Model," Papers 1702.03382, arXiv.org.
    11. Stefano, Pagliarani & Pascucci, Andrea & Candia, Riga, 2011. "Expansion formulae for local Lévy models," MPRA Paper 34571, University Library of Munich, Germany.

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