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On an Asymptotic Expansion of Forward-Backward SDEs with a Perturbed Driver
http://hdl.handle.net/2261/55374
http://hdl.handle.net/2261/55374996db62c-a746-4e42-ac50-840cdf75c3de
| Item type | テクニカルレポート / Technical Report(1) | |||||
|---|---|---|---|---|---|---|
| 公開日 | 2013-09-17 | |||||
| タイトル | ||||||
| タイトル | On an Asymptotic Expansion of Forward-Backward SDEs with a Perturbed Driver | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | Forward-Backward SDEs | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | Asymptotic expansion | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | Malliavin calculus | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | Kusuoka-Stroock functions | |||||
| 資源タイプ | ||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_18gh | |||||
| 資源タイプ | technical report | |||||
| アクセス権 | ||||||
| アクセス権 | metadata only access | |||||
| アクセス権URI | http://purl.org/coar/access_right/c_14cb | |||||
| 著者 |
Takahashi, Akihiko
× Takahashi, Akihiko× Yamada, Toshihiro |
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| 著者所属 | ||||||
| 値 | University of Tokyo | |||||
| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | This paper presents a mathematical validity for an asymptotic expansion scheme of the solutions to the forwardbackward stochastic differential equations (FBSDEs) in terms of a perturbed driver in the BSDE and a small diffusion in the FSDE. This computational scheme was proposed by Fujii-Takahashi (2012a), which has been successfully employed to solve the derivatives and optimal portfolio problems in Fujii-Takahashi (2012b,c) and Fujii et al. (2012). In particular, we represent the coefficients up to an arbitrary order expansion of the BSDE by the solution to a system of the associated BSDEs with the FSDE, and obtain the error estimate of the expansion with respect to the driver perturbation. Accordingly, we show a concrete representation for each expansion coefficient of the volatility component, that is the martingale integrand in the BSDE. Then, we apply our proposed FSDE expansion formula with its precise error estimate to the BSDE expansion coefficients to finally obtain the total residual estimate. | |||||
| 内容記述 | ||||||
| 内容記述タイプ | Other | |||||
| 内容記述 | 本文フィルはリンク先を参照のこと | |||||
| 書誌情報 |
Discussion paper series. CIRJE-F 巻 CIRJE-F-902, 発行日 2013-09 |
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| 書誌レコードID | ||||||
| 収録物識別子タイプ | NCID | |||||
| 収録物識別子 | AA11450569 | |||||
| フォーマット | ||||||
| 内容記述タイプ | Other | |||||
| 内容記述 | application/pdf | |||||
| 出版者 | ||||||
| 出版者 | 日本経済国際共同センター | |||||
| 出版者別名 | ||||||
| 値 | Center for International Research on the Japanese Economy | |||||
| 関係URI | ||||||
| 識別子タイプ | URI | |||||
| 関連識別子 | http://www.cirje.e.u-tokyo.ac.jp/research/dp/2013/2013cf902ab.html | |||||
