著者
Fujita Takahiko Kawanishi Yasuhiro
出版者
Akadémiai Kiadó
雑誌
Studia scientiarum mathematicarum Hungarica (ISSN:00816906)
巻号頁・発行日
vol.45, no.2, pp.125-134, 2008-03
被引用文献数
4

In this paper, we will prove Itˆo's formula for Brownian motion in the case of f ∈ C2(R) , using a discrete Itˆo's formula.
著者
Fujita Takahiko Miura Ryozo
出版者
Springer Netherlands
雑誌
Asia Pacific Financial Markets (ISSN:13872834)
巻号頁・発行日
vol.9, no.2, pp.141-151, 2002-06
被引用文献数
11

In this paper, we will give a new framework of barrier options to generalize 'Parisian Option' and 'Delayed Barrier Option'. Take a stopping time τ as the caution time. When τ occurs, derivatives are given 'Caution'. After τ , if K.O. time σ = σ(τ ) occurs, derivative contracts vanish. We simply say that first 'Caution' second 'K.O.'. Using this framework, designs of barrier options become more flexible than before and new risk management will be possible. New barrier options in this category are called Edokko Options or Tokyo Options.