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Sensitivity Study of Heston Stochastic Volatility Model Using GPGPU

机译:使用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有效地平行实施HESTON随机波动率模型。该模型是最广泛使用的随机波动率(SV)型号之一。 Andersen的方法提供了高效模拟了Heston模型下的股价和差异。在我们实现此方法的情况下,我们测试了伪随机和准随机序列的用法,以评估方法的性能和准确性。我们将其用于计算模型的Sobol'敏感性指数,相对于输入参数。由于该方法是计算密集的,因此我们实现了基于GPGPU的基于GPGPU的算法版本,其降低了基本上计算时间。在本文中,我们详细描述了我们的实施,并讨论了数值和时序结果。

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