摘要
利用Exponential-Ornstein-Uhlenbeck过程刻画金融市场中资产价格,利用矩匹配的方法,计算得出几何平均篮子期权价格的近似值.
The prices of the assets are described by the exponential-Ornstein-Uhlenbeck processes in the financial market, and the approximated price of geometric average basket option is given by moment matching methods.
引文
1 Gentle D. Basket weaving[J]. Risk, 1993, 6(6):51-52.
2 Hull J C, White A D. Efficient procedures for valuing European and American path-dependent options[J]. The Journal of Derivatives, 1993, 1(1):21-31.
3 Joy C, Boyle P P, Tan K S. Quasi-Monte Carlo methods in numerical finance[J]. Management Science, 1996,42(6):926-938.
4 Black F, Scholes M. The pricing of options and corporate liabilities[J]. Journal of political economy, 1973, 81(3):637-654.
5 Bos L P, Ware A F, Pavlov B S. On a semi-spectral method for pricing an option on a mean-reverting asset[J]. Quantitative Finance, 2002, 2(5):337-345.
6 Li X, Wu Z. On an approximation method for pricing a high-dimensional basket option on assets with mean-reverting prices[J]. Computers&Operations Research, 2008, 35(1):76-89.
7 张立东,张祥丽,邱虹,等. Vasicek-Ornstein-Uhlenbeck过程概率性质研究[J].南开大学学报:自然科学版,2016, 49(2):103-108.
8 张立东,孟祥波.反射Vasicek-Ornstein-Uhlenbeck模型下欧式看涨期权定价研究[J].南开大学学报:自然科学版,2018, 51(4):29-35.