Escaping the Brownian stalkers
نویسنده
چکیده
We propose a simple model for the behaviour of longterm investors on a stock market. It consists of three particles that represent the stock’s current price and the buyers’, respectively sellers’, opinion about the right trading price. As time evolves, both groups of traders update their opinions with respect to the current price. The speed of updating is controled by a parameter γ; the price process is described by a geometric Brownian motion. We consider the market’s stability in terms of the distance between the buyers’ and sellers’ opinion, and prove that the distance process is recurrent/transient in dependence on γ.
منابع مشابه
Escaping the Brownian Stalkers
We propose a simple model for the behaviour of longterm investors on a stock market, consisting of three particles, which represent the current price of the stock and the opinion of the buyers, respectively sellers, about the right trading price. As time evolves, both groups of traders update their opinions with respect to the current price. The update speed is controled by a parameter γ, the p...
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