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一类特殊跳-扩散模型下亚式期权定价
A special type of jumping-diffusion model under Asian option pricing
【摘要】 假定股票价格过程为一类特殊跳-扩散过程,其为比Poisson过程更一般的跳过程。在市场无套利条件下建立随机微分方程,以随机分析和鞅理论为基础,用鞅定价方法给出具有敲定价格的算术平均连续亚式期权的定价公式。
【Abstract】 Assuming that the stock pricing process is a special class of jumping-diffusion process,which is a more general jump process than Poisson process.Stochastic differential equations were established in the condition of no-arbitrage market.Stochastic analysis and martingale theory were adopted as the calculation basis.Arithmetic average continuous Asian option pricing formulas for a special jumping-diffusion model were derived via methods of martingale pricing.
【关键词】 一类特殊跳-扩散模型;
算术平均连续亚式期权;
鞅;
【Key words】 jumping-diffusion model; arithmetic average continuous Asian option; martingale;
【Key words】 jumping-diffusion model; arithmetic average continuous Asian option; martingale;
【基金】 宁波市软科学计划项目(2010A10043)
- 【文献出处】 福建工程学院学报 ,Journal of Fujian University of Technology , 编辑部邮箱 ,2012年02期
- 【分类号】F830.9;F224
- 【被引频次】1
- 【下载频次】72