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Portfolio optimization using deep learning with risk aversion utility function

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  • Kubo, Kenji
  • Nakagawa, Kei

Abstract

This paper explores portfolio optimization with deep learning (DL), which can model non-linear returns that traditional methods cannot capture. While Sharpe loss addresses the risk-return trade-off in DL-based portfolio construction, it has limitations, including interpretability issues with negative PnL and biased gradients under stochastic gradient descent (SGD). We propose a new loss function based on a risk-averse utility function, which provides unbiased gradients and clear interpretation even with negative PnL. Additionally, we use DL outputs as adjustments to baseline weights, achieving improved portfolio performance. Experiments on S&P 500 data show that our method outperforms Sharpe loss-based models across several metrics, including the Sharpe ratio.

Suggested Citation

  • Kubo, Kenji & Nakagawa, Kei, 2025. "Portfolio optimization using deep learning with risk aversion utility function," Finance Research Letters, Elsevier, vol. 74(C).
    • Handle: RePEc:eee:finlet:v:74:y:2025:i:c:s1544612325000261
    DOI: 10.1016/j.frl.2025.106761
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