I have the following exit strategy under consideration.

Suppose I have n shares of stocks that I want to sell. When the price reaches n/(n-1) of the original price, I sell 1 share. When the price reaches n/(n-2) of the original price, I sell another share ...

Basically when the stock price increases, I keep on selling the shares one by one to keep the dollar amount of the stock constant.

This seems to balance the profit and risk, especially when I am not sure how much gain I can have in the stock. But I don't have a quantitative assessment of this strategy.

Has this strategy been studied already so that I can know when this strategy is a good one and when it is not a good one? If so, could anybody show me the analysis of the pros and cons of this strategy?

• This question is more about common sense than math. A rigorous approach to defining a 'rational' allocation $P_i(t)$ (positions or exposures to available strategies or securities) would require introducing a utility functional $U[\{P_i(t)\}]$. This step involves human preferences even though it looks like math. My preferences would include larger future profits and lower risk, which is a version of mean-variance utility. YMMV. Sep 17 at 17:44