在支撑位买入：多偏斜布朗运动下的入场问题
Buying at Support: The Entry Problem under Multi-Skew Brownian Motion
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中文总结 AI 辅助
本文研究在几何多偏斜布朗运动价格模型下，考虑后续最优卖出的买入时机问题，证明最优买入仅在价格被向上推动的水平发生，并给出单支撑单阻力情形下在支撑位买入的显式最优规则。
中文摘要 AI 辅助
我们研究在价格遵循几何多偏斜布朗运动（其偏斜水平模拟支撑和阻力）时，何时买入一只股票，该股票之后将被最优地卖出。买入的回报是配套论文中解决的清算问题的退出溢价。该溢价在退出持续区域内部严格为 $r$-次调和函数，因此仅在价格被向上推动的水平买入才是最优的，且入场问题归结为一个有限问题，其价值是有限多个点的上凹包。当存在一个支撑和一个阻力时，最优规则是在每个退出制度下恰好于支撑位买入，并具有显式价值。
英文摘要
We study when to buy a share that will later be sold optimally, when the price follows a geometric multi-skew Brownian motion whose skew levels model support and resistance. The reward for buying is the exit premium of the liquidation problem solved in a companion paper. This premium is strictly $r$-subharmonic inside the exit continuation region, so buying is optimal only at levels where the price is pushed upward, and the entry problem reduces to a finite one whose value is an upper concave hull of finitely many points. With one support and one resistance, the optimal rule is to buy exactly at the support, in every exit regime, with an explicit value.
