论文标题

牛顿·拉夫森(Newton Raphson)仿真网络,用于高效计算众多隐含波动

Newton Raphson Emulation Network for Highly Efficient Computation of Numerous Implied Volatilities

论文作者

Lee, Geon, Kim, Tae-Kyoung, Kim, Hyun-Gyoon, Huh, Jeonggyu

论文摘要

在金融中,隐含的波动是立即反映市场状况的重要指标。许多从业者使用迭代方法(例如牛顿 - 拉夫森(NR)方法)估算波动率。但是,如果必须经常计算大量隐含的波动,则迭代方法很容易达到处理速度限制。因此,我们使用Pytorch(一种众所周知的深度学习软件包)将NR方法效仿为网络,并使用TensOrrt(用于优化深度学习模型的软件包进一步优化网络。将优化的仿真方法与NR方法的流行实现中的NR函数进行比较,我们证明了仿真网络的速度比基准函数快1000倍。

In finance, implied volatility is an important indicator that reflects the market situation immediately. Many practitioners estimate volatility using iteration methods, such as the Newton--Raphson (NR) method. However, if numerous implied volatilities must be computed frequently, the iteration methods easily reach the processing speed limit. Therefore, we emulate the NR method as a network using PyTorch, a well-known deep learning package, and optimize the network further using TensorRT, a package for optimizing deep learning models. Comparing the optimized emulation method with the NR function in SciPy, a popular implementation of the NR method, we demonstrate that the emulation network is up to 1,000 times faster than the benchmark function.

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