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An FBSDE Approach to American Option Pricing with an Interacting Particle Method
http://hdl.handle.net/2261/52778
http://hdl.handle.net/2261/527781d884c6b-49c8-4a36-b615-920a69182962
| Item type | テクニカルレポート / Technical Report(1) | |||||
|---|---|---|---|---|---|---|
| 公開日 | 2013-05-31 | |||||
| タイトル | ||||||
| タイトル | An FBSDE Approach to American Option Pricing with an Interacting Particle Method | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | BSDE | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | FBSDE | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | asymptotic expansion | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | perturbation | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | particle method | |||||
| 資源タイプ | ||||||
| 資源 | http://purl.org/coar/resource_type/c_18gh | |||||
| 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 |
Fujii, Masaaki
× Fujii, Masaaki× Sato, Seisho× Takahashi, Akihiko |
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| 著者所属 | ||||||
| 著者所属 | Graduate School of Economics, The University of Tokyo | |||||
| 著者所属 | ||||||
| 著者所属 | The Institute of Statistical Mathematics | |||||
| 著者所属 | ||||||
| 著者所属 | Graduate School of Economics, The University of Tokyo | |||||
| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | In the paper, we propose a new calculation scheme for American options in the framework of a forward backward stochastic differential equation (FBSDE). The well-known decomposition of an American option price with that of a European option of the same maturity and the remaining early exercise premium can be cast into the form of a decoupled non-linear FBSDE. We numerically solve the FBSDE by applying an interacting particle method recently proposed by Fujii & Takahashi (2012d), which allows one to perform a Monte Carlo simulation in a fully forward-looking manner. We perform the fourth-order analysis for the Black-Scholes (BS) model and the third-order analysis for the Heston model. The comparison to those obtained from existing tree algorithms shows the effectiveness of the particle method. | |||||
| 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-871, 発行日 2012-11 |
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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 | |||||
| 日本十進分類法 | ||||||
| 主題Scheme | NDC | |||||
| 主題 | 335 | |||||
| 出版者 | ||||||
| 出版者 | 日本経済国際共同センター | |||||
| 出版者別名 | ||||||
| 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/2012/2012cf871ab.html | |||||
