分数商品期货期权定价模型及其实证研究
Fractional Pricing Model for Commodity Futures Options
商品期货期权在企业进行套期保值、完善期货市场功能、构造商品投资组合中起重要作用。商品期货市场是一个复杂的非线性动力学系统,期货价格并不服从标准的布朗运动。本文在商品期货价格服从分数布朗运动的基础上,运用拟条件期望和分数Girsanov模型等方法构建了分数商品期货期权定价模型,通过LME铜期货期权的实证研究表明,该模型对期货期权的价格具有更精确的估计效果。
ommodity futures options play an important role in hedging risk in commodity coporations, completing futures market’s functions and constructing commodity portfolio. Commodity futures market is a complex nonlinear dynamics system and futures prices don’t follow standard brownian motion. On the basis that futures prices follow fractional brownian motion,this paper constructs a fractional pricing model for futures options using quasi-conditional expectation and fractional Girsanov model.We apply the model to LME copper options,and the result shows that the fractional option pricing model performs more exactly than others.
马超群、刘超
财政、金融数学
期货市场分形市场分数布朗运动期货期权定价
futures marketfractional marketfractional brown motionfuture
马超群,刘超.分数商品期货期权定价模型及其实证研究[EB/OL].(2008-04-14)[2025-08-11].http://www.paper.edu.cn/releasepaper/content/200804-504.点此复制
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