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arXiv 1205.0505q-fin.STphysics.data-anq-fin.PM
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股票市场的分形利润景观

Fractal Profit Landscape of the Stock Market

Andreas Gronlund, Il Gu Yi, Beom Jun Kim

摘要:

我们调查的利润景观的结构,从最基本的,波动为基础的,交易策略应用于每日的股票价格数据。该策略仅由两个变量p和q参数化。如果对数收益率分别大于p和小于-q,则卖出和买入股票。长时间重复这个简单的策略,得到了在p和q的二维参数空间中定义的利润。研究表明,利润格局中的局部最大值以分形结构的形式分布。分形结构意味着,成功的战略不会局限于利润格局的任何区域,也不会在整个利润格局中均匀分布,这使得优化变得非常困难,并且对部分或有限的信息非常敏感。这个属性的具体含义是通过显示一个股票的未来价值或其他股票的优化比忽略波动的策略带来更差的利润来证明的,即,长期买入并持有的策略

英文摘要:

We investigate the structure of the profit landscape obtained from the most basic, fluctuation based, trading strategy applied for the daily stock price data. The strategy is parameterized by only two variables, p and q. Stocks are sold and bought if the log return is bigger than p and less than -q, respectively. Repetition of this simple strategy for a long time gives the profit defined in the underlying two-dimensional parameter space of p and q. It is revealed that the local maxima in the profit landscape are spread in the form of a fractal structure. The fractal structure implies that successful strategies are not localized to any region of the profit landscape and are neither spaced evenly throughout the profit landscape, which makes the optimization notoriously hard and hypersensitive for partial or limited information. The concrete implication of this property is demonstrated by showing that optimization of one stock for future values or other stocks renders worse profit than a strategy that ignores fluctuations, i.e., a long-term buy-and-hold strategy.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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