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偏最小二乘回归在美式-亚式期权定价中的应用 被引量:1

Application of partial least-squares regression in valuing American-Asian option
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摘要 利用蒙特卡罗模拟得到几何布朗运动环境下标的资产的价格路径样本,然后应用偏最小二乘回归给出了美式-亚式期权的价格.与基于扰动分析估计的随机近似方法及普通最小二乘回归方法相比,在保证精度的前提下,该方法具有更好的稳定性和更快的收敛速度. An American-Asian is valued option based on the partial least-squares regression. In the interim, the price samples of underlying asset in the option are obtained by using Monte Carlo simulation, whose price process obeys Geometric Brownian Motion. Compared with the stochastic approximation method based on the perturbation analysis estimators and the simple least-squares approach, this method has better stability and higher convergence speed, besides on the premise of ensuring accuracy.
作者 王旭 王拉省
出处 《纺织高校基础科学学报》 CAS 2008年第1期124-127,130,共5页 Basic Sciences Journal of Textile Universities
基金 陕西省教育厅自然科学专项基金资助项目(05JK207)
关键词 蒙特卡罗模拟 偏最小二乘回归 关式-亚式期权 Monte Carlo simulation partial least-squares regression American-Asian option
作者简介 通讯作者:王拉省(1963-),男,陕西省岐山县人,西安工程大学教授.E-mail:wanglasheng@126.com
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参考文献5

  • 1LONGSTAFF F A,SCHWARTZ E S. Valuing american options by simulation: a simple least-square approach [J]. Review of Financial Studies, 2001,14(1) : 113-147.
  • 2LARS Stentoft. Convergence of the least squares monte-carlo approach to american option valuation [R]. North Carolina: North Carolina State University, 2003:1-15.
  • 3郑承利,韩立岩.基于偏最小二乘回归的美式期权仿真定价方法[J].应用概率统计,2004,20(3):295-300. 被引量:17
  • 4MARIO Cerrato,Kan Kwok Cheung. Valuing american style options by least squares methods [R]. London: London Metropolitan University,2006 : 1-18.
  • 5WU Rongwen. Applications of Monte Carlo Simulation in Derivative Securities Pricing [D]. Maryland: University of Maryland, 2002 : 18-59.

二级参考文献3

  • 1[1]Hull, J.C, Options, Futures and Other Derivatives, Prentice Hall, 1997.
  • 2[2]Garcia. D., A monte carlo method for pricing American options, Working paper, University of California Berkeley,1999.
  • 3[3]Longstaff. F.A. Schwartz, E.S., Valuing American options by simulation: a simple least-squares approach, The Review of Financial Studies, 14(1)(2001), 113-147.

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