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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

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

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

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

A new improvement scheme for approximation methods of probability density functions

Takahashi, Akihiko; Tsuzuki, Yukihiro - In: The journal of computational finance 19 (2016) 4, pp. 73-94

Persistent link: https://www.econbiz.de/10011603189

On Error Estimates for Asymptotic Expansions with Malliavin Weights -- Application to Stochastic Volatility Model

Takahashi, Akihiko - 2014

This paper proposes a unified method for precise estimates of the error bounds in asymptotic expansions of an option price and its Greeks (sensitivities) under a stochastic volatility model. More generally, we also derive an error estimate for an asymptotic expansion around a partially elliptic...

Persistent link: https://www.econbiz.de/10013063101