研究者情報 | 神奈川大学

フナハシ　ヒデハル Funahashi Hideharu 舟橋　秀治所属神奈川大学経済学部経済学科/現代ビジネス学科神奈川大学大学院経済学研究科経済学専攻（公共政策コース）職種准教授
言語種別	英語
発行・発表の年月	2014/11
形態種別	学術雑誌
査読	査読あり
標題	Funahashi, H. (2014), "A Chaos Expansion Approximation under Hybrid Volatility Models," Quantitative Finance, 14(11), 1923-1936
執筆形態	単著
掲載区分	国外
概要	In this paper, we propose an approximation method based on the Wiener-Ito chaos expansion for the pricing of European contingent claims. Our method is applicable to widely used option pricing models such as local volatility models, stochastic volatility models and their combinations. This method is useful in practice since the resulting approximation formula is not computationally expensive, hence it is suitable for calibration purposes. We will show through some numerical examples that our approximation remains quite good even for the long maturity and/or the high volatility cases, which is a desired feature. As an example, we propose a hybrid volatility model and apply our approximation formula to the JPY/USD currency option market obtaining very accurate results.