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Sensitivity Study of Heston Stochastic Volatility Model Using GPGPU

机译:基于GPGPU的Heston随机波动率模型的敏感性研究

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The focus of this paper is on effective parallel implementation of Heston Stochastic Volatility Model using GPGPU. This model is one of the most widely used stochastic volatility (SV) models. The method of Andersen provides efficient simulation of the stock price and variance under the Heston model. In our implementation of this method we tested the usage of both pseudo-random and quasi-random sequences in order to evaluate the performance and accuracy of the method.We used it for computing Sobol' sensitivity indices of the model with respect to input parameters. Since this method is computationally intensive, we implemented a parallel GPGPU-based version of the algorithm, which decreases substantially the computational time. In this paper we describe in detail our implementation and discuss numerical and timing results.
机译:本文的重点是使用GPGPU有效并行实现Heston随机波动率模型。该模型是使用最广泛的随机波动率(SV)模型之一。 Andersen的方法在Heston模型下提供了股票价格和方差的有效仿真。在此方法的实现中,我们测试了伪随机序列和准随机序列的使用情况,以评估该方法的性能和准确性,并将其用于计算模型在输入参数方面的Sobol灵敏度指标。由于此方法需要大量计算,因此我们实现了基于并行GPGPU的算法版本,从而大大减少了计算时间。在本文中,我们详细描述了我们的实现,并讨论了数值和时序结果。

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