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使用深度循环网络高效定价和对冲高维美式期权

Efficient pricing and hedging of high-dimensional American options using deep recurrent networks

Quantitative Finance · 2023
被引 10
人大 BABS 3

中文导读

提出一个深度循环神经网络框架,用于高维美式期权的价格和Delta计算,相比传统前馈网络在时间和内存上更高效。

Abstract

We propose a deep recurrent neural network (RNN) framework for computing prices and deltas of American options in high dimensions. Our proposed framework uses two deep RNNs, where one network learns the continuation price and the other learns the delta for each timestep. Our proposed framework yields prices and deltas for the entire spacetime, not only at a given point (e.g. t = 0). The computational cost of the proposed approach is linear in N, which improves on the quadratic time seen for feedforward networks that price American options. The computational memory cost of our method is constant in N, which is an improvement over the linear memory costs seen in feedforward networks. Our numerical simulations demonstrate these contributions and show that the proposed deep RNN framework is computationally more efficient than traditional feedforward neural network frameworks in time and memory.

金融工程深度学习期权定价数值方法