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This paper applies reinforcement learning, specifically an iterated-regression method, to a dynamic portfolio problem: choosing among equity factors each month under a switching cost. The switching cost regularises the learned policy against estimation noise, and the authors give asymptotic consistency results. The out-of-sample gains over a myopic policy and the best fixed factor are backtested on about 60 years of U.S. data, so they warrant scrutiny before anyone treats them as an edge. For ML readers, the transferable idea is using an explicit cost on action changes to stabilise a learned policy in a noisy, low-signal environment.
Sources coveringarXiv, Google DeepMind, Quantum Zeitgeist, Latent Space

Dynamic Strategy Selection

arXiv2 min read

arXiv:2307.04754v3 Announce Type: replace Abstract: We consider the problem of dynamically selecting among competing strategies using observable predictors. To mitigate estimation noise and excessive switching, we regularise the estimated policy with a switching cost, which may exceed actual transaction costs when these are too small to provide sufficient regularisation. Since switching costs make current choices affect future decisions, we formulate the problem using dynamic programming. The optimal policy is estimated using a reinforcement learning algorithm based on iterated regressions, making the procedure simple to implement. We apply the method to monthly rotation among momentum, value, profitability, and defensive U.S. equity factors over a sample of about 60 years. Using a parsimonious set of state variables, the estimated policy outperforms both the myopic dynamic policy and the best fixed factor in hindsight in out-of-sample evaluation. Under weak conditions, we show theoretically that the decision rule estimated from empirical data is asymptotically consistent for the unknown optimal decision rule. Simulation results illustrate the finite-sample relevance of these asymptotic results.

Abstract:We consider the problem of dynamically selecting among competing strategies using observable predictors. To mitigate estimation noise and excessive switching, we regularise the estimated policy with a switching cost, which may exceed actual transaction costs when these are too small to provide sufficient regularisation. Since switching costs make current choices affect future decisions, we formulate the problem using dynamic programming. The optimal policy is estimated using a reinforcement learning algorithm based on iterated regressions, making the procedure simple to implement. We apply the method to monthly rotation among momentum, value, profitability, and defensive U.S. equity factors over a sample of about 60 years. Using a parsimonious set of state variables, the estimated policy outperforms both the myopic dynamic policy and the best fixed factor in hindsight in out-of-sample evaluation. Under weak conditions, we show theoretically that the decision rule estimated from empirical data is asymptotically consistent for the unknown optimal decision rule. Simulation results illustrate the finite-sample relevance of these asymptotic results.

Substantially revised version. Proofs and bounds have been corrected, the focus and application have changed, and a new coauthor has been added

Machine Learning (cs.LG); Portfolio Management (q-fin.PM); Methodology (stat.ME); Machine Learning (stat.ML)

arXiv:2307.04754 [cs.LG]

(or arXiv:2307.04754v3 [cs.LG] for this version)

https://doi.org/10.48550/arXiv.2307.04754 Focus to learn more arXiv-issued DOI via DataCite

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Full text under the publisher's open licence · 284 words

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