时变波动率下多资产到期理财产品定价研究
Research on Pricing of Multi-Asset Maturity Wealth Management Products under Time-Varying Volatility
DOI: 10.12677/AAM.2020.95077, PDF,    科研立项经费支持
作者: 代洪梅, 金良琼:贵州民族大学,数据科学与信息工程学院,贵州 贵阳
关键词: 多资产理财产品定价方差缩减主成分分析蒙特卡罗模拟Multi Asset Financial Products Pricing Variance Reduction Principal Component Analysis Monte Carlo Simulation
摘要: 本文在时变波动率模型下,利用蒙特卡罗模拟研究了一类多资产到期理财产品的定价问题。为了进一步提高蒙特卡罗的模拟精度和收敛速度,利用主成分分析法构造了对应的方差缩减方案,并将该方案应用于一款挂钩多股票的到期理财产品定价中。结果表明,该方案既可以减小模拟的复杂程度,又提高了理财产品的定价精度。
Abstract: In this paper, under the time-varying volatility model, Monte Carlo simulation is used to study the pricing of a class of multi-asset financial products. In order to further improve Monte Carlo’s sim-ulation accuracy and convergence speed, the corresponding variance reduction scheme was con-structed using principal component analysis and applied to the pricing of a wealth management product linked to multiple stocks. The results show that this scheme can not only reduce the com-plexity of simulation, but also improve the pricing accuracy of financial products.
文章引用:代洪梅, 金良琼. 时变波动率下多资产到期理财产品定价研究[J]. 应用数学进展, 2020, 9(5): 651-661. https://doi.org/10.12677/AAM.2020.95077

参考文献

[1] Li, D.X. (2000) On Default Correlation: A Copula Function Approach. Journal of Fixed Income, 9, 43-54. [Google Scholar] [CrossRef
[2] Das, S. and Wiley, J. (2001) Structured Products and Hybrid Securities. Computer Software.
[3] Wallmeier, M. and Diethelm, M. (2010) Market Pricing of Exotic Structured Products: The Case of Multiasset Barrier Reverse Convertibles in Switzerland. Journal of Derivatives, 27, 45-62.
[4] 陈金龙, 任敏. 多资产的股票挂钩保本型理财产品定价研究[J]. 管理科学学报, 2011, 14(11): 63-70.
[5] So, M.K.P. and Yeung, C.Y.T. (2014) Vinecopula GARCH Model with Dynamic Conditionnal Dependence. Computational Statistics and Data Analysis, 76. [Google Scholar] [CrossRef
[6] Entrop, O., Mckenzie, M., Wilkens, M., et al. (2016) The Performance of Individual Investors in Structured Financial Products. Review of Quantitative Finance and Accounting, 46, 569-604. [Google Scholar] [CrossRef
[7] 方艳, 张元玺, 刘津智, 张洁. 多资产挂钩的区间理财产品定价研究[J]. 复旦学报(自然科学版), 2018, 57(5): 554-579.
[8] 姜礼尚. 期权定价的数学模型和方法[M]. 第二版. 北京: 高等教育出版, 2008.
[9] 陈辉. 期权定价的蒙特卡罗模拟方差缩减技术研究[J]. 统计与信息论坛, 2008(7): 86-96.
[10] 张波, 余超, 毕涛. 高频金融数据建模:理论方法与应用[M]. 北京: 清华大学出版社, 2015.