On Robustness of Double Linear Policy with Time-Varying Weights
arXiv:2303.10806 · doi:10.1109/CDC49753.2023.10383733
Abstract
In this paper, we extend the existing double linear policy by incorporating time-varying weights instead of constant weights and study a certain robustness property, called robust positive expectation (RPE), in a discrete-time setting. We prove that the RPE property holds by employing a novel elementary symmetric polynomials characterization approach and derive an explicit expression for both the expected cumulative gain-loss function and its variance. To validate our theory, we perform extensive Monte Carlo simulations using various weighting functions. Furthermore, we demonstrate how this policy can be effectively incorporated with standard technical analysis techniques, using the moving average as a trading signal.
arXiv commentSubmitted for possible publication
References in corpus (5)
- A Generalized Framework for Simultaneous Long-Short Feedback Trading
- On Asymptotic Log-Optimal Buy-and-Hold Strategy
- On Robustness of Double Linear Trading with Transaction Costs
- From Semi-Infinite Constraints to Structured Robust Policies: Optimal Gain Selection for Financial Systems
- On Unified Adaptive Black-Litterman Mean-Variance Portfolio Management