摘要翻译:
我们分析了美国500家收入最大的公司在1954-2007年期间的年度收入和收益数据。我们发现,年平均利润与年平均收入成正比,除了少数异常年份外,由此我们假定公司期望的年平均利润与收入呈线性关系。平均年收入用于衡量公司利润和收入。年利润波动是指实际年利润与其期望值之间的差值,用收益的一次幂来衡量,从而得到收益的一个平稳行为。我们发现利润波动是广泛分布的,具有近似幂律尾,利维型指数$\alpha\simeq为1.7$,由此我们导出了相关的盈亏平衡概率分布。将预测结果与经验数据进行了比较。
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英文标题:
《Fluctuations of company yearly profits versus scaled revenue: Fat tail
distribution of Levy type》
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作者:
H.E. Roman, R.A. Siliprandi, C. Dose, C. Riccardi, and M. Porto
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最新提交年份:
2008
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分类信息:
一级分类:Quantitative Finance 数量金融学
二级分类:General Finance 一般财务
分类描述:Development of general quantitative methodologies with applications in finance
通用定量方法的发展及其在金融中的应用
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英文摘要:
We analyze annual revenues and earnings data for the 500 largest-revenue U.S. companies during the period 1954-2007. We find that mean year profits are proportional to mean year revenues, exception made for few anomalous years, from which we postulate a linear relation between company expected mean profit and revenue. Mean annual revenues are used to scale both company profits and revenues. Annual profit fluctuations are obtained as difference between actual annual profit and its expected mean value, scaled by a power of the revenue to get a stationary behavior as a function of revenue. We find that profit fluctuations are broadly distributed having approximate power-law tails with a Levy-type exponent $\alpha \simeq 1.7$, from which we derive the associated break-even probability distribution. The predictions are compared with empirical data.
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PDF链接:
https://arxiv.org/pdf/0811.3885