翻訳と辞書
Words near each other
・ Upside Down
・ Upside Down (1919 film)
・ Upside Down (A-Teens song)
・ Upside Down (album)
・ Upside Down (band)
・ Upside Down (book)
・ Upside Down (disambiguation)
・ Upside Down (film)
・ Upside Down (Jack Johnson song)
・ Upside Down (Paloma Faith song)
・ Upside Down (The Jesus and Mary Chain song)
・ Upside Down Mountain
・ Upside Down; or, the Human Flies
・ Upside Downside
・ Upside Out
Upside potential ratio
・ Upside Records
・ Upside risk
・ Upside-down cake
・ Upside-down catfish
・ Upside-down gardening
・ Upside-Down Girl
・ Upside-down harptail blenny
・ Upsidedown Cross
・ Upsidedown Cross (band)
・ Upsilon
・ Upsilon (disambiguation)
・ Upsilon Acrux
・ Upsilon Andromedae
・ Upsilon Andromedae b


Dictionary Lists
翻訳と辞書 辞書検索 [ 開発暫定版 ]
スポンサード リンク

Upside potential ratio : ウィキペディア英語版
Upside potential ratio
The Upside-Potential Ratio is a measure of a return of an investment asset relative to the minimal acceptable return. The measurement allows a firm or individual to choose investments which have had relatively good upside performance, per unit of downside risk.
: U = \over \sqrt}} = \frac},
where the returns R_r have been put into increasing order. Here P_r is the probability of the return R_r and R_\min which occurs at r=\min is the minimal acceptable return. In the secondary formula (X)_+ = \beginX &\textX \geq 0\\ 0 &\text\end and (X)_- = (-X)_+.
The Upside-Potential Ratio may also be expressed as a ratio of partial moments since \mathbb(- R_\min)_+ ) is the first upper moment and \mathbb(- R_\min)_-^2 ) is the second lower partial moment.
The measure was developed by Frank A. Sortino.
== Discussion ==
The Upside-Potential Ratio is a measure of risk-adjusted returns. All such measures are dependent on some measure of risk. In practice, standard deviation is often used, perhaps because it is mathematically easy to manipulate. However, standard deviation treats deviations above the mean (which are desirable, from the investor's perspective) exactly the same as it treats deviations below the mean (which are less desirable, at the very least). In practice, rational investors have a preference for good returns (e.g., deviations above the mean) and an aversion to bad returns (e.g., deviations below the mean).
Sortino further found that investors are (or, at least, should be) averse not to deviations below the mean, but to deviations below some "minimal acceptable return" (MAR), which is meaningful to them specifically. Thus, this measure uses deviations above the MAR in the numerator, rewarding performance above the MAR. In the denominator, it has deviations below the MAR, thus penalizing performance below the MAR.
Thus, by rewarding desirable results in the numerator and penalizing undesirable results in the denominator, this measure attempts to serve as a pragmatic measure of the goodness of an investment portfolio's returns in a sense that is not just mathematically simple (a primary reason to use standard deviation as a risk measure), but one that considers the realities of investor psychology and behavior.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
ウィキペディアで「Upside potential ratio」の詳細全文を読む



スポンサード リンク
翻訳と辞書 : 翻訳のためのインターネットリソース

Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.