Calmar Ratio
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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: ...
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Commodity Trading Advisor
A commodity trading advisor (CTA) is US financial regulatory term for an individual or organization who is retained by a fund or individual client to provide advice and services related to trading in futures contracts, commodity options and/or swaps. They are responsible for the trading within managed futures accounts. The definition of CTA may also apply to investment advisors for hedge funds and private funds including mutual funds and exchange-traded funds in certain cases. CTAs are generally regulated by the United States federal government through registration with the Commodity Futures Trading Commission (CFTC) and membership of the National Futures Association (NFA). Characteristics Trading activities A CTA generally acts as an asset manager, following a set of investment strategies utilizing futures contracts and options on futures contracts on a wide variety of physical goods such as agricultural products, forest products, metals, and energy, plus derivative contra ...
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Hedge Fund
A hedge fund is a pooled investment fund that trades in relatively liquid assets and is able to make extensive use of more complex trading, portfolio-construction, and risk management techniques in an attempt to improve performance, such as short selling, leverage, and derivatives. Financial regulators generally restrict hedge fund marketing to institutional investors, high net worth individuals, and accredited investors. Hedge funds are considered alternative investments. Their ability to use leverage and more complex investment techniques distinguishes them from regulated investment funds available to the retail market, commonly known as mutual funds and ETFs. They are also considered distinct from private equity funds and other similar closed-end funds as hedge funds generally invest in relatively liquid assets and are usually open-ended. This means they typically allow investors to invest and withdraw capital periodically based on the fund's net asset value, whereas pr ...
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Futures (magazine)
''Modern Trader'' is a U.S.-based monthly print investment magazine. The publication was established in 1972 under the name ''Commodities''. The name was changed to ''Futures'' in September 1983 and ''Modern Trader'' in 2015. The magazine is a standard source in futures and option trading, and its SourceBook site is a standard reference to US brokerage and related services. The Commodity channel index The commodity channel index (CCI) is an oscillator originally introduced by Donald Lambert in 1980. Since its introduction, the indicator has grown in popularity and is now a very common tool for traders in identifying cyclical trends not only in c ... was first published in ''Commodities'', before it was renamed to ''Futures''. History The magazine was founded in 1972 as ''Commodities'', published by Leon Rose and Mort Baratz. It was bought in 1976 by Daniel Oster for Merrill. It was bought again by Jeff Joseph's Alpha Pages from Summit Media in 2013. References External link ...
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Sterling Ratio
The Sterling ratio (SR) is a measure of the risk-adjusted return of an investment portfolio. While multiple definitions of the Sterling ratio exist, it measures return over average drawdown, versus the more commonly used max drawdown. While the max drawdown looks back over the entire period and takes the worst point along that equity curve, a quick change of the look back allows one to see what the worst peak to valley loss was for each calendar year as well. From there, the drawdowns of each year are averaged to come up with an average annual drawdown. The original definition was most likely suggested by Deane Sterling Jones (a company no longer in existence): :SR=\frac If the drawdown is put in as a negative number, then subtract the 10%, and then multiply the whole thing by a negative to result in a positive ratio. If the drawdown is put in as a positive number, then add 10% and the result is the same positive ratio. To clarify the reason he (Deane Sterling Jones) used 10% in ...
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Drawdown (economics)
The drawdown is the measure of the decline from a historical peak in some variable (typically the cumulative profit or total open equity of a financial trading strategy). Somewhat more formally, if X(t), \; t \ge 0 is a stochastic process with X(0) = 0, the drawdown at time T, denoted D(T), is defined as: D(T) = \max\left max_X(t)-X(T),0 \right \equiv \left \max_X(t)-X(T) \right The average drawdown (AvDD) up to time T is the time average of drawdowns that have occurred up to time T:\operatorname(T) = \int_0^T D(t) \, dtThe maximum drawdown (MDD) up to time T is the maximum of the drawdown over the history of the variable. More formally, the MDD is defined as: \operatorname(T)=\max_D(\tau)=\max_\left max_ X(t)- X(\tau) \right/math> Pseudocode The following pseudocode computes the Drawdown ("DD") and Max Drawdown ("MDD") of the variable "NAV", the Net Asset Value of an investment. Drawdown and Max Drawdown are calculated as percentages: MDD = 0 peak = -99999 for i = 1 to N step ...
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Drawdown (economics)
The drawdown is the measure of the decline from a historical peak in some variable (typically the cumulative profit or total open equity of a financial trading strategy). Somewhat more formally, if X(t), \; t \ge 0 is a stochastic process with X(0) = 0, the drawdown at time T, denoted D(T), is defined as: D(T) = \max\left max_X(t)-X(T),0 \right \equiv \left \max_X(t)-X(T) \right The average drawdown (AvDD) up to time T is the time average of drawdowns that have occurred up to time T:\operatorname(T) = \int_0^T D(t) \, dtThe maximum drawdown (MDD) up to time T is the maximum of the drawdown over the history of the variable. More formally, the MDD is defined as: \operatorname(T)=\max_D(\tau)=\max_\left max_ X(t)- X(\tau) \right/math> Pseudocode The following pseudocode computes the Drawdown ("DD") and Max Drawdown ("MDD") of the variable "NAV", the Net Asset Value of an investment. Drawdown and Max Drawdown are calculated as percentages: MDD = 0 peak = -99999 for i = 1 to N step ...
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Risk Free Rate
The risk-free rate of return, usually shortened to the risk-free rate, is the rate of return of a hypothetical investment with scheduled payments over a fixed period of time that is assumed to meet all payment obligations. Since the risk-free rate can be obtained with no risk, any other investment having some risk will have to have a higher rate of return in order to induce any investors to hold it. In practice, to infer the risk-free interest rate in a particular currency, market participants often choose the yield to maturity on a risk-free bond issued by a government of the same currency whose risks of default are so low as to be negligible. For example, the rate of return on T-bills is sometimes seen as the risk-free rate of return in US dollars. Theoretical measurement As stated by Malcolm Kemp in chapter five of his book ''Market Consistency: Model Calibration in Imperfect Markets'', the risk-free rate means different things to different people and there is no consensus on ...
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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 ''ex-post' ...
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Omega Ratio
The Omega ratio is a risk-return performance measure of an investment asset, portfolio, or strategy. It was devised by Con Keating and William F. Shadwick in 2002 and is defined as the probability weighted ratio of gains versus losses for some threshold return target. The ratio is an alternative for the widely used Sharpe ratio and is based on information the Sharpe ratio discards. Omega is calculated by creating a partition in the cumulative return distribution in order to create an area of losses and an area for gains relative to this threshold. The ratio is calculated as: : \Omega(\theta) = \frac, where F is the cumulative probability distribution function of the returns and \theta is the target return threshold defining what is considered a gain versus a loss. A larger ratio indicates that the asset provides more gains relative to losses for some threshold \theta and so would be preferred by an investor. When \theta is set to zero the gain-loss-ratio by Bernardo and Ledoi ...
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Risk Return Ratio
The risk-return ratio is a measure of return in terms of risk for a specific time period. The percentage return (R) for the time period is measured in a straightforward way: :R=\frac where P_ and P_ simply refer to the price by the start and end of the time period. The risk is measured as the percentage maximum drawdown (MDD) for the specific period: :\textit=\max_(DD_t)\textDD_t=\begin \displaystyle 1-(1-DD_)\frac&\textP_t-P_<0\\ 0&\text\end where ''DDt'', ''DD''''t''-1, ''Pt'' and ''P''''t''-1 refer the drawdown (''DD'') and prices (''P'') at a specific point in time, ''t'', or the time right before that, ''t''-1. The risk-return ratio is then defined and measured, for a specific time period, as: :RRR=R/\textit Note that dividing a percentage numerator by a percentage renders a single nu ...
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