| 书目名称 | Option Pricing in Fractional Brownian Markets |
| 编辑 | Stefan Rostek |
| 视频video | |
| 丛书名称 | Lecture Notes in Economics and Mathematical Systems |
| 图书封面 |  |
| 描述 | Mandelbrot and van Ness (1968) suggested fractional Brownian motion as a parsimonious model for the dynamics of ?nancial price data, which allows for dependence between returns over time. Starting with Rogers(1997) there is an ongoing dispute on the proper usage of fractional Brownian motion in option pricing theory. Problems arise because fractional Brownian motion is not a semimartingale and therefore “no arbitrage pricing” cannot be applied. While this is consensus, the consequences are not as clear. The orthodox interpretation is simply that fractional Brownian motion is an inadequate candidate for a price process. However, as shown by Cheridito (2003) any theoretical arbitrage opportunities disappear by assuming that market p- ticipants cannot react instantaneously. This is the point of departure of Rostek’s dissertation. He contributes to this research in several respects: (i) He delivers a thorough introduction to fr- tional integration calculus and uses the binomial approximation of fractional Brownianmotion to give the reader a ?rst idea of this special market setting. |
| 出版日期 | Book 2009 |
| 关键词 | Arbitrage; Equilibrium Pricing; Fractional Binomial Trees; Fractional Brownian Motion; Hurst Parameter; R |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-642-00331-8 |
| isbn_softcover | 978-3-642-00330-1 |
| isbn_ebook | 978-3-642-00331-8Series ISSN 0075-8442 Series E-ISSN 2196-9957 |
| issn_series | 0075-8442 |
| copyright | Springer-Verlag Berlin Heidelberg 2009 |
发表于 2025-3-21 17:06:48
