Robustness of Mathematical Models and Technical Analysis Strategies

Ahmed Bel Hadj Ayed, G. Loeper, F. Abergel
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Abstract

The aim of this paper is to compare the performances of the optimal strategy under parameters mis-specification and of a technical analysis trading strategy. The setting we consider is that of a stochastic asset price model where the trend follows an unobservable Ornstein-Uhlenbeck process. For both strategies, we provide the asymptotic expectation of the logarithmic return as a function of the model parameters. Finally, numerical examples find that an investment strategy using the cross moving averages rule is more robust than the optimal strategy under parameters mis-specification.
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数学模型的鲁棒性与技术分析策略
本文的目的是比较参数不规范情况下的最优策略和技术分析交易策略的性能。我们考虑的设置是一个随机资产价格模型,其趋势遵循不可观察的Ornstein-Uhlenbeck过程。对于这两种策略,我们提供了对数回报的渐近期望作为模型参数的函数。最后,数值算例表明,采用交叉移动平均规则的投资策略比参数不规范情况下的最优投资策略具有更强的鲁棒性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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