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Efficient Point Estimation of the Sharpe Ratio

机译:夏普比率的有效点估计

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The Sharpe Ratio is defined as the mean excess return over the standard deviation of the excess returns for a given security market portfolio. Due in part to the dynamic nature of this measure and because of statistical issues, the sample estimation of this ratio is challenging and subject to substantial sampling error. As such, the purpose of this research was to develop and test an efficient point estimator of the Sharpe Ratio utilizing an approach that sought to explicitly reduce its associated sampling error through the minimization of the coefficient of variation (CV) and Mean Squared Error (MSE). An empirical simulation study was conducted to assess the potential gains of the novel method given stochastic variations present within time series of security price data, with results offering improvements across all specifications of sample sizes and population standard deviations. Overall, this work addressed a major limitation in the existing point estimate calculation of the Sharpe Ratio, particularly involving estimation error which is present even within large data sets.
机译:夏普比率定义为给定证券市场投资组合的平均超额收益超过超额收益的标准差。部分由于该措施的动态性质以及统计问题,对该比率的样本估计具有挑战性,并且会出现较大的抽样误差。因此,这项研究的目的是开发和测试一种有效的夏普比率点估计器,该方法试图通过最小化变异系数(CV)和均方误差(MSE)来显着降低其相关的采样误差。 )。进行了一次经验模拟研究,以评估在证券价格数据的时间序列内存在随机变化的情况下该新方法的潜在收益,其结果可在所有样本量规格和总体标准偏差的范围内提供改进。总的来说,这项工作解决了夏普比率的现有点估计计算中的一个主要限制,特别是涉及甚至在大型数据集中也存在的估计误差。

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