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来源类型Working Paper
规范类型报告
DOI10.3386/w19500
来源IDWorking Paper 19500
A Sharper Ratio: A General Measure for Correctly Ranking Non-Normal Investment Risks
Kent Smetters; Xingtan Zhang
发表日期2013-10-04
出版年2013
语种英语
摘要While the Sharpe ratio is still the dominant measure for ranking risky assets, a substantial effort has been made over the past three decades to find a way to account for non-Normally distributed risks. This paper derives a generalized ranking measure which, under a regularity condition, correctly ranks risks relative to the original investor problem for a broad probability space. Moreover, like the Sharpe ratio, the generalized measure maintains wealth separation for the broad HARA utility class. Besides being effective in the presence of "fat tails," the generalized measure is also a foundation for multi-asset class portfolio optimization due to its ability to pairwise rank two risks following two different probability distributions. This paper also explores the theoretical foundations of risk ranking, including proving a key impossibility theorem: any ranking measure that is valid for non-Normal distributions cannot generically be free from investor preferences. Finally, this paper shows that the generalized ratio provides substantially more ranking power than simpler approximation measures that have sometimes been used in the past to account for non-Normal higher moments, even if those approximations are extended to include an infinite number of higher moments.
主题Financial Economics ; Portfolio Selection and Asset Pricing
URLhttps://www.nber.org/papers/w19500
来源智库National Bureau of Economic Research (United States)
引用统计
资源类型智库出版物
条目标识符http://119.78.100.153/handle/2XGU8XDN/577173
推荐引用方式
GB/T 7714
Kent Smetters,Xingtan Zhang. A Sharper Ratio: A General Measure for Correctly Ranking Non-Normal Investment Risks. 2013.
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