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New asymptotic expansion formula via Malliavin calculus and its application to rough differential equation driven by fractional Brownian motion
Takahashi, Akihiko; Yamada, Toshihiro - 2023 - This version: July 3, 2023
Persistent link: https://www.econbiz.de/10014383870
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Asymptotic expansion formula of option price under multifactor Heston model
Nagashima, Kazuki; Chung, Tsz-Kin; Tanaka, Keiichi - In: Asia-Pacific financial markets 21 (2014) 4, pp. 351-396
Persistent link: https://www.econbiz.de/10010511560
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On error estimates for asymptotic expansions with Malliavin weights : application to stochastic volatility model
Takahashi, Akihiko; Yamada, Toshihiro - In: Mathematics of operations research 40 (2015) 3, pp. 513-541
Persistent link: https://www.econbiz.de/10011338705
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A general computation scheme for a high-order asymptotic expansion method
Takahashi, Akihiko; Takehara, Kohta; Toda, Masashi - In: International journal of theoretical and applied finance 15 (2012) 6, pp. 1-25
Persistent link: https://www.econbiz.de/10009672591
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Expansion method for pricing foreign exchange options under stochastic volatility and interest rates
Nagami, Kenji - In: The journal of computational finance 25 (2021) 2, pp. 29-50
Persistent link: https://www.econbiz.de/10012938885
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An asymptotic expansion for forward-backward SDEs : a malliavin calculus approach
Takahashi, Akihiko; Yamada, Toshihiro - In: Asia-Pacific financial markets 23 (2016) 4, pp. 337-373
Persistent link: https://www.econbiz.de/10011619975
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Deep Asymptotic Expansion : Application to Financial Mathematics
Iguchi, Yuga; Naito, Riu; Takahashi, Akihiko; Yamada, … - 2021 - Revised in February 2022
Persistent link: https://www.econbiz.de/10013339086
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Probability density of lognormal fractional SABR model
Akahori, Jiro; Song, Xiaoming; Wang, Tai-Ho - In: Risks : open access journal 10 (2022) 8, pp. 1-27
Instantaneous volatility of logarithmic return in the lognormal fractional SABR model is driven by the exponentiation of a correlated fractional Brownian motion. Due to the mixed nature of driving Brownian and fractional Brownian motions, probability density for such a model is less studied in...
Persistent link: https://www.econbiz.de/10013368253
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A remark on approximation of the solutions to partial differential equations in finance
Takahashi, Akihiko; Yamada, Toshihiro - In: Recent advances in financial engineering 2011: …, (pp. 133-181). 2012
Persistent link: https://www.econbiz.de/10009573432