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ARIMA-GARCH随机收益鞅过程下幂型交换期权定价

DOI: doi:10.3969/j.issn.1006-7043.2011.03.022

Keywords: 漂移率, 波动率, ARIMA??GARCH过程, 幂型交换期权, 鞅过程??

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Abstract:

为了更好地体现现实的股价中漂移率和波动率对其资产价格的影响,利用随机微分方程和其解中都含有的漂移率和波动率,在传统的资产定价中加入漂移率和波动率的鞅表示算法,利用测度变换确定资产价格.最终在经典的ARIMA和GARCH过程基础上联合建立了一个反映股价非线性特点的随机过程ARIMA??GARCH过程,对奇异期权定价提高精度,通过过去信息对具有线性幂型交换期权进行高精度定价

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