Closed-form asymptotics and numerical approximations of 1{D} parabolic equations with applications to option pricing
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DOI: 10.1137/100796832
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Citations
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Cited by:
- Dan Pirjol & Lingjiong Zhu, 2024. "Short-maturity asymptotics for option prices with interest rates effects," Papers 2402.14161, arXiv.org.
- Matthew Lorig & Stefano Pagliarani & Andrea Pascucci, 2013. "Analytical expansions for parabolic equations," Papers 1312.3314, arXiv.org, revised Nov 2014.
- 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.
- 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.
- 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.
- Dan Pirjol & Lingjiong Zhu, 2016. "Short Maturity Asian Options in Local Volatility Models," Papers 1609.07559, arXiv.org.
- Lingjiong Zhu, 2015. "Options with Extreme Strikes," Risks, MDPI, vol. 3(3), pages 1-16, July.
- Pagliarani, Stefano & Pascucci, Andrea, 2011. "Analytical approximation of the transition density in a local volatility model," MPRA Paper 31107, University Library of Munich, Germany.
- Humayra Shoshi & Indranil SenGupta, 2023. "Some asymptotics for short maturity Asian options," Papers 2302.05421, arXiv.org, revised Sep 2024.
- Dan Pirjol & Lingjiong Zhu, 2017. "Short Maturity Asian Options for the CEV Model," Papers 1702.03382, arXiv.org.
- 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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