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List Of Financial Performance Measures
This article comprises a list of measures of financial performance. Basic definitions *Return on equity *Return on assets *Return on investment Return measures * Arithmetic return: average return of different observation periods * Geometric return: return depending only on start date and end date of one overall observation period * Rate of return or return on investment * Total shareholder return: annualized growth in capital assuming that dividends are reinvested Risk measures * Risk measure ** Distortion risk measure ** Tail conditional expectation ** Value at risk ** Convex risk measure *** Entropic risk measure ** Coherent risk measure *** Discounted maximum loss *** Expected shortfall *** Superhedging price *** Spectral risk measure * Deviation risk measure ** Standard deviation or Variance * Mid-range ** Interdecile range ** Interquartile range Risk-adjusted performance measures {{main, Financial ratio * Calmar ratio * Coefficient of variation * Information rati ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Return On Equity
The return on equity (ROE) is a measure of the profitability of a business in relation to its equity; where: : Jason Fernando (2023)"Return on Equity (ROE) Calculation and What It Means" Investopedia Thus, ROE is equal to a fiscal year's net income (after preferred stock dividends, before common stock dividends), divided by total equity (excluding preferred shares), expressed as a percentage. Because shareholder's equity can be calculated by taking all assets and subtracting all liabilities, ROE can also be thought of as a return on NAV, or ''assets less liabilities''. Usage ROE measures how many dollars of profit are generated for each dollar of shareholder's equity, and is thus a metric of how well the company utilizes its equity to generate profits. ROE is especially used for comparing the performance of companies in the same industry. As with return on capital, an ROE is a measure of management's ability to generate income from the equity available to it. ROEs of 15–2 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Spectral Risk Measure
A Spectral risk measure is a risk measure given as a weighted average of outcomes where bad outcomes are, typically, included with larger weights. A spectral risk measure is a function of portfolio returns and outputs the amount of the numeraire (typically a currency) to be kept in reserve. A spectral risk measure is always a coherent risk measure, but the converse does not always hold. An advantage of spectral measures is the way in which they can be related to risk aversion, and particularly to a utility function, through the weights given to the possible portfolio returns. Definition Consider a portfolio X (denoting the portfolio payoff). Then a spectral risk measure M_: \mathcal \to \mathbb where \phi is non-negative, non-increasing, right-continuous, integrable function defined on ,1/math> such that \int_0^1 \phi(p)dp = 1 is defined by :M_(X) = -\int_0^1 \phi(p) F_X^(p) dp where F_X is the cumulative distribution function for ''X''. If there are S equiprobable outcomes ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sharpe Ratio
In finance, the Sharpe ratio (also known as the Sharpe index, the Sharpe measure, and the reward-to-variability ratio) measures the performance of an investment such as a security or portfolio compared to a risk-free asset, after adjusting for its risk. It is defined as the difference between the returns of the investment and the risk-free return, divided by the standard deviation of the investment returns. It represents the additional amount of return that an investor receives per unit of increase in risk. It was named after William F. Sharpe, who developed it in 1966. Definition Since its revision by the original author, William Sharpe, in 1994, the '' ex-ante'' Sharpe ratio is defined as: : S_a = \frac = \frac, where R_a is the asset return, R_b is the risk-free return (such as a U.S. Treasury security). E _a-R_b/math> is the expected value of the excess of the asset return over the benchmark return, and is the standard deviation of the asset excess return. The t-sta ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Roy's Safety-first Criterion
Roy's safety-first criterion is a risk management technique, devised by A. D. Roy, that allows an investor to select one portfolio rather than another based on the criterion that the probability of the portfolio's return falling below a minimum desired threshold is minimized. For example, suppose there are two available investment strategies—portfolio A and portfolio B, and suppose the investor's threshold return level (the minimum return that the investor is willing to tolerate) is −1%. Then, the investor would choose the portfolio that would provide the maximum probability of the portfolio return being at least as high as −1%. Thus, the problem of an investor using Roy's safety criterion can be summarized symbolically as: \underset\Pr(R_<\underline) where is the probability of (the actual return of asset i) being less than (the minimum acceptable return). Normally distributed return and SFRatio If the portfolios under consideration ...[...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Modigliani Risk-adjusted Performance
Modigliani risk-adjusted performance (also known as M2, M2, Modigliani–Modigliani measure or RAP) is a measure of the risk-adjusted returns of some investment portfolio. It measures the returns of the portfolio, adjusted for the risk of the portfolio relative to that of some benchmark (e.g., the market). We can interpret the measure as the difference between the scaled excess return of our portfolio P and that of the market, where the scaled portfolio has the same volatility as the market. It is derived from the widely used Sharpe ratio, but it has the significant advantage of being in units of percent return (as opposed to the Sharpe ratio – an abstract, dimensionless ratio of limited utility to most investors), which makes it dramatically more intuitive to interpret. History In 1966, William F. Sharpe developed what is now known as the Sharpe ratio. Sharpe originally called it the "reward-to-variability" ratio before it began being called the Sharpe ratio by later aca ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jensen's Alpha
In finance, Jensen's alpha (or Jensen's Performance Index, ex-post alpha) is used to determine the abnormal return of a security or portfolio of securities over the theoretical expected return. It is a version of the standard alpha based on a theoretical performance instead of a market index. The security could be any asset, such as stocks, bonds, or derivatives. The theoretical return is predicted by a market model, most commonly the capital asset pricing model (CAPM). The market model uses statistical methods to predict the appropriate risk-adjusted return of an asset. The CAPM for instance uses beta as a multiplier. History Jensen's alpha was first used as a measure in the evaluation of mutual fund managers by Michael Jensen in 1968. The CAPM return is supposed to be 'risk adjusted', which means it takes account of the relative riskiness of the asset. This is based on the concept that riskier assets should have higher expected returns than less risky assets. If an asset's ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jaws Ratio
The jaws ratio is a measure used in finance to demonstrate the extent to which a trading entity's income growth rate exceeds its expenses growth rate, measured as a percentage. A larger positive value demonstrates that a trading entity is effectively generating more income over time than it is generating expenses, thereby potentially increasing its profitability, and profitability growth rate. The ratio may also be a negative percentage, which should be a cause for concern for the owners/management of a trading entity as this will over time result in eroded profitability. The ratio is so named because, when these rates are graphed, the space between the lines resembles a pair of jaw The jaws are a pair of opposable articulated structures at the entrance of the mouth, typically used for grasping and manipulating food. The term ''jaws'' is also broadly applied to the whole of the structures constituting the vault of the mouth ...s. Strictly speaking, the jaws ratio is not a true ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Information Ratio
The information ratio measures and compares the active return of an investment (e.g., a security or portfolio) compared to a benchmark index relative to the volatility of the active return (also known as active risk or benchmark tracking risk). It is defined as the active return (the difference between the returns of the investment and the returns of the benchmark) divided by the tracking error (the standard deviation of the active return, i.e., the additional risk). It represents the additional amount of return that an investor receives per unit of increase in risk. The information ratio is simply the ratio of the active return of the portfolio divided by the tracking error of its return, with both components measured relative to the performance of the agreed-on benchmark. It is often used to gauge the skill of managers of mutual funds, hedge funds, etc. It measures the active return of the manager's portfolio divided by the amount of risk that the manager takes relative to the b ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Coefficient Of Variation
In probability theory and statistics, the coefficient of variation (CV), also known as normalized root-mean-square deviation (NRMSD), percent RMS, and relative standard deviation (RSD), is a standardized measure of dispersion of a probability distribution or frequency distribution. It is defined as the ratio of the standard deviation \sigma to the mean \mu (or its absolute value, , and often expressed as a percentage ("%RSD"). The CV or RSD is widely used in analytical chemistry to express the precision and repeatability of an assay. It is also commonly used in fields such as engineering or physics when doing quality assurance studies and ANOVA gauge R&R, by economists and investors in economic models, in epidemiology, and in psychology/neuroscience. Definition The coefficient of variation (CV) is defined as the ratio of the standard deviation \sigma to the mean \mu, CV = \frac. It shows the extent of variability in relation to the mean of the population. The coefficien ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Calmar Ratio
Calmar ratio (or Drawdown ratio) is a performance measurement used to evaluate Commodity Trading Advisors and hedge funds. It was created by Terry W. Young and first published in 1991 in the trade journal ''Futures''. Young owned California Managed Accounts, a firm in Santa Ynez, California, which managed client funds and published the newsletter ''CMA Reports''. The name of his ratio "Calmar" is an acronym of his company's name and its newsletter: CALifornia Managed Accounts Reports. Young defined it thus: Young believed the Calmar ratio was superior because It should be mentioned that a competitor newsletter, ''Managed Account Reports'' (founded in 1979 by publisher Leon Rose), had previously defined and popularized another performance measurement, the MAR Ratio, equal to the compound annual return ''from inception'', divided by the maximum drawdown ''from inception''. Although the Calmar ratio and MAR ratio are sometimes assumed to be identical, they are in fact different ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Interquartile Range
In descriptive statistics, the interquartile range (IQR) is a measure of statistical dispersion, which is the spread of the data. The IQR may also be called the midspread, middle 50%, fourth spread, or H‑spread. It is defined as the difference between the 75th and 25th percentiles of the data. To calculate the IQR, the data set is divided into quartiles, or four rank-ordered even parts via linear interpolation. These quartiles are denoted by ''Q''1 (also called the lower quartile), ''Q''2 (the median), and ''Q''3 (also called the upper quartile). The lower quartile corresponds with the 25th percentile and the upper quartile corresponds with the 75th percentile, so IQR = ''Q''3 − ''Q''1. The IQR is an example of a trimmed estimator, defined as the 25% trimmed range, which enhances the accuracy of dataset statistics by dropping lower contribution, outlying points. It is also used as a robust measure of scale It can be clearly visualized by the box on a box plot. Use ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Interdecile Range
In statistics, the interdecile range is the difference between the first and the ninth deciles (10% and 90%). The interdecile range is a measure of statistical dispersion of the values in a set of data, similar to the range and the interquartile range, and can be computed from the (non-parametric) seven-number summary. Despite its simplicity, the interdecile range of a sample drawn from a normal distribution can be divided by 2.56 to give a reasonably efficient estimator of the standard deviation of a normal distribution. This is derived from the fact that the lower (respectively upper) decile of a normal distribution with arbitrary variance is equal to the mean minus (respectively, plus) 1.28 times the standard deviation. A more efficient estimator is given by instead taking the 7% trimmed range (the difference between the 7th and 93rd percentiles) and dividing by 3 (corresponding to 86% of the data falling within ±1.5 standard deviations of the mean in a normal distributio ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
