论文标题

基于组成数据方法的新财务比率

New financial ratios based on the compositional data methodology

论文作者

Linares-Mustarós, Salvador, Farreras-Noguer, Maria Àngels, Arimany-Serrat, Núria, Coenders, Germà

论文摘要

由于它们的数学结构类型,因此在分析一组公司财务状况的研究中使用标准财务比率会导致一系列统计问题,这些问题可能无效获得的结果。这些问题来自财务比率的不对称性。本文证明,使用组合数据(CODA)使用新方法来分析一个行业的财务状况,并使用常规比率改进分析,因为新方法可以应用统计技术,而不必遇到偏心和异常等严重缺点,例如在不遇到诸如iS cutioner of nem and extion的情况下的结果,而没有任何严重的缺点。提供了葡萄酒行业数据的示例。结果表明,使用CODA时,离群值和偏度会大大降低,并且结果对分子和分母排列不变。

Due to their type of mathematical construction, the use of standard financial ratios in studies analysing the financial health of a group of firms leads to a series of statistical problems that can invalidate the results obtained. These problems are originated by the asymmetry of financial ratios. The present article justifies the use of a new methodology using compositional data (CoDa) to analyse the financial statements of a sector, improving analyses using conventional ratios since the new methodology enables statistical techniques to be applied without encountering any serious drawbacks such as skewness and outliers, and without the results depending on the arbitrary choice as to which of the accounting figures is the numerator of the ratio and which is the denominator. An example with data of the wine sector is provided. The results show that when using CoDa, outliers and skewness are much reduced and results are invariant to numerator and denominator permutation.

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