Method of Moments Estimation for Affine Stochastic Volatility Models

Yan-Feng Wu, Xiangyu Yang, Jian-Qiang Hu
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Abstract

We develop moment estimators for the parameters of affine stochastic volatility models. We first address the challenge of calculating moments for the models by introducing a recursive equation for deriving closed-form expressions for moments of any order. Consequently, we propose our moment estimators. We then establish a central limit theorem for our estimators and derive the explicit formulas for the asymptotic covariance matrix. Finally, we provide numerical results to validate our method.
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仿随机波动率模型的矩估计法
我们开发了仿射随机波动模型参数的矩估计器。我们首先引入了一个递归方程,用于推导任意阶矩的闭式公式,从而解决了计算模型矩的难题。因此,我们提出了矩估计器。然后,我们建立了估计器的中心极限定理,并推导出渐近协方差矩阵的显式。最后,我们提供数值结果来验证我们的方法。
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