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Note on an extension of an asymptotic expansion scheme

Takahashi, Akihiko; Toda, Masashi - In: International journal of theoretical and applied finance 16 (2013) 5, pp. 1-23

Persistent link: https://www.econbiz.de/10009783991

An FBSDE approach to American option pricing with an interacting particle method

Fujii, Masaaki; Sato, Seisho; Takahashi, Akihiko - In: Asia-Pacific financial markets 22 (2015) 3, pp. 239-260

Persistent link: https://www.econbiz.de/10011524808

Perturbative expansion technique for non-linear FBSDEs with interacting particle method

Fujii, Masaaki; Takahashi, Akihiko - In: Asia-Pacific financial markets 22 (2015) 3, pp. 283-304

Persistent link: https://www.econbiz.de/10011524810

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

A new efficient approximation scheme for solving high-dimensional semilinear PDEs : control variate method for Deep BSDE solver

Takahashi, Akihiko; Tsuchida, Yoshifumi; Yamada, Toshihiro - 2021 - This version : August 10, 2021

Persistent link: https://www.econbiz.de/10012616192

A new efficient approximation scheme for solving high-dimensional semilinear PDEs : control variate method for Deep BSDE solver

Takahashi, Akihiko; Tsuchida, Yoshifumi; Yamada, Toshihiro - 2021

Persistent link: https://www.econbiz.de/10012813680

Asymptotic expansion as prior knowledge in deep learning method for high dimensional BSDEs

Fujii, Masaaki; Takahashi, Akihiko; Takahashi, Masayuki - In: Asia-Pacific financial markets 26 (2019) 3, pp. 391-408

Persistent link: https://www.econbiz.de/10012309704

A general control variate method for multi-dimensional SDEs : an application to multi-asset options under local stochastic volatility with jumps models in finance

Shiraya, Kenichiro; Takahashi, Akihiko - In: European journal of operational research : EJOR 258 (2017) 1, pp. 358-371

Persistent link: https://www.econbiz.de/10011642221

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

Pricing Discrete Barrier Options Under Stochastic Volatility

Shiraya, Kenichiro; Takahashi, Akihiko; Yamada, Toshihiro - In: Asia-Pacific Financial Markets 19 (2012) 3, pp. 205-232

This paper proposes a new approximation method for pricing barrier options with discrete monitoring under stochastic volatility environment. In particular, the integration-by-parts formula and the duality formula in Malliavin calculus are effectively applied in pricing barrier options with...

Persistent link: https://www.econbiz.de/10010989079