多偏斜布朗运动下带支撑位与阻力位的最优清算
Optimal Liquidation with Support and Resistance Levels under Multi-Skew Brownian Motion
- Mizuho Securities Co., Ltd.（瑞穗证券公司）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本文研究多偏斜布朗运动下带支撑与阻力位的最优清算问题，提出三种几何形态的闭式准则，并揭示向阻力位卖出为结论及参数识别的不对称性。
AI中文摘要：
我们求解了几何多偏斜布朗运动下的永久清算问题，该运动在支撑位处受到向上的局部时间推动，在阻力位处受到向下的局部时间推动，这是一种仅以价格为马尔可夫变量的技术分析模型。由闭式准则区分出三种几何形态：持续带位于阻力位下方、跨越阻力位、或将其上边缘固定在阻力位处。向阻力位卖出是结论而非假设。识别具有不对称性：执行行为精确确定支撑参数，而阻力强度仅能在具有闭式端点的区间上恢复。
英文摘要：
We solve the perpetual liquidation problem for a geometric multi-skew Brownian motion carrying local-time pushes upward at a support level and downward at a resistance level, a model of technical analysis that is Markov in the price alone. Three geometries arise, separated by a closed-form criterion: the continuation band lies below resistance, straddles it, or pins its upper edge there. Selling into resistance is a conclusion rather than an assumption. Identification is asymmetric: exercise behaviour determines the support parameters exactly, while the strength of resistance is recoverable only on an interval with a closed-form endpoint.
