Deep-learning solution to portfolio selection with serially dependent returns
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AbstractThis paper investigates a deep-learning solution to high-dimensional multiperiod portfolio optimization problems with bounding constraints on the control. We propose a deep neural network (DNN) architecture to describe the underlying control process. The DNN consists of K subnetworks, where K is the total number of decision steps. The feedback control function is determined solely by the network parameters. In this way, the multiperiod portfolio optimization problem is linked to a training problem of the DNN, that can be efficiently computed by the standard optimization techniques for network training. We offer a sufficient condition for the algorithm to converge for a general utility function and general asset return dynamics including serially dependent returns. Specifically, under the condition that the global minimum of the DNN training problem is attained, we prove that the algorithm converges with the quadratic utility function when the risky asset returns jointly follow multivariate autoregressive (1) models and/or multivariate generalized autoregressive conditional heteroskedasticity (1,1) models. Numerical examples demonstrate the superior performance of the DNN algorithm in various return dynamics for a high-dimensional portfolio (up to 100 dimensions).
All Author(s) ListKa Ho Tsang, Hoi Ying Wong
Journal nameSIAM Journal on Financial Mathematics
Year2020
Month6
Volume Number11
Issue Number2
PublisherSociety for Industrial and Applied Mathematics
Pages593 - 619
ISSN1945-497X
LanguagesEnglish-United States
Keywordsdeep-learning, neural network, high-dimensionality, portfolio optimization, utility maximization, GARCH, Monte Carlo simulation

Last updated on 2020-23-10 at 01:05