GPU Computing in Bayesian Inference of Realized Stochastic Volatility Model

3rd International Conference on Mathematical Modeling in Physical Sciences

物理学;数学

Takaishi, Tetsuya^1

Hiroshima University of Economics, Hiroshima

731-0192, Japan^1

关键词: Bayesian inference;    Computational time;    Financial time series;    HMC algorithms;    Hybrid Monte Carlo;    Realized volatility;    Stochastic volatility;    Stochastic Volatility Model;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/574/1/012143/pdf
DOI  :  10.1088/1742-6596/574/1/012143

来源: IOP

【 摘 要 】

The realized stochastic volatility (RSV) model that utilizes the realized volatility as additional information has been proposed to infer volatility of financial time series. We consider the Bayesian inference of the RSV model by the Hybrid Monte Carlo (HMC) algorithm. The HMC algorithm can be parallelized and thus performed on the GPU for speedup. The GPU code is developed with CUDA Fortran. We compare the computational time in performing the HMC algorithm on GPU (GTX 760) and CPU (Intel i7-4770 3.4GHz) and find that the GPU can be up to 17 times faster than the CPU. We also code the program with OpenACC and find that appropriate coding can achieve the similar speedup with CUDA Fortran.