论文标题
何时出售资产,因为焦虑
When to sell an asset amid anxiety about drawdowns
论文作者
论文摘要
我们认为对资产价格降低的焦虑程度不同的风险避开投资者。后者被定义为自开始以来的最佳表现距离当前价格的距离。这些下降可能会不断增加或跳跃,并在违反投资者的私人容忍度时有助于投资者的整体不耐烦。我们调查投资者在这种不利市场条件下出售资产时的异常反应。从数学上讲,我们研究了资产销售效用的最佳停止,并随机折扣捕捉了投资者的整体不耐烦。随机的折扣是由在不良地区的累积时间花费的累积时间给出的,这是由于投资者的个人宽容和对缩减的焦虑而进行了微调。我们证明,除了传统的分支销售外,现实生活中采用的停止损失订单和落后停靠站可能会成为最佳销售策略的一部分,具体取决于不同的个人特征。因此,本文提供了有关焦虑及其对传统风险规避对决策的影响的见解。
We consider risk averse investors with different levels of anxiety about asset price drawdowns. The latter is defined as the distance of the current price away from its best performance since inception. These drawdowns can increase either continuously or by jumps, and will contribute towards the investor's overall impatience when breaching the investor's private tolerance level. We investigate the unusual reactions of investors when aiming to sell an asset under such adverse market conditions. Mathematically, we study the optimal stopping of the utility of an asset sale with a random discounting that captures the investor's overall impatience. The random discounting is given by the cumulative amount of time spent by the drawdowns in an undesirable high region, fine tuned by the investor's personal tolerance and anxiety about drawdowns. We prove that in addition to the traditional take-profit sales, the real-life employed stop-loss orders and trailing stops may become part of the optimal selling strategy, depending on different personal characteristics. This paper thus provides insights on the effect of anxiety and its distinction with traditional risk aversion on decision making.