用于统计套利进出场的签名最优停止方法
文章 arXiv papers · 作者: Boming Ning et al.
总结
本文提出一种方法,用于确定均值回归价差头寸的建仓和清算时机。研究将这些决策表述为序贯最优停止问题,并明确纳入交易成本。研究采用改进的基于签名的最优停止方法判断何时开仓和平仓,无需预先设定价差动态模型。
研究报告数值结果,作为该框架优于传统均值回归规则的证据。所提供的描述未说明价差范围、交易成本假设、评估设计或表现差异大小。模型灵活性是其所述特点,但此处概述的证据不足以判断结果能否迁移到实盘交易或其他资产和市场环境。
核心观点
- 建仓和清算被视为序贯最优停止决策。
- 该框架在选择交易时机时纳入交易成本。
- 研究采用基于签名的方法,不预先指定固定的价差动态模型。
- 数值比较显示该方法优于传统均值回归规则,但未提供评估细节。
标签
全文
# Optimal Entry and Exit with Signature in Statistical Arbitrage # Optimal Entry and Exit with Signature in Statistical Arbitrage In this paper, we explore an optimal timing strategy for the trading of price spreads exhibiting mean-reverting characteristics. A sequential optimal stopping framework is formulated to analyze the optimal timings for both entering and subsequently liquidating positions, all while considering the impact of transaction costs. Then we leverages a refined signature optimal stopping method to resolve this sequential optimal stopping problem, thereby unveiling the precise entry and exit timings that maximize gains. Our framework operates without any predefined assumptions regarding the dynamics of the underlying mean-reverting spreads, offering adaptability to diverse scenarios. Numerical results are provided to demonstrate its superior performance when comparing with conventional mean reversion trading rules.
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