Calculating Tracking Error Fund
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the benchmark or index it was meant to mimic or beat. Tracking error is sometimes called active risk. There are two ways to measure tracking error. The first is to subtract the benchmark's cumulative returns calculating tracking error in excel from the portfolio's returns, as follows: Returnp - Returni = Tracking Error Where: p calculating tracking error of portfolio = portfolio i = index or benchmark However, the second way is more common, which is to calculate the standard tracking error formula deviation of the difference in the the portfolio and benchmark returns over time. The formula is as follows: How it works (Example): Let's assume you invest in the XYZ Company mutual fund, which exists tracking error example to replicate the Russell 2000 index, both in composition and in returns. If the XYZ Company mutual fund returns 5.5% in a year but the Russell 2000 (the benchmark) returns 5.0%, then using the first formula above, we would say that the XYZ Company mutual fund had a 0.5% tracking error. As time goes by, there will be more periods during which we can compare returns. This
Ex Ante Tracking Error Formula
is where the second formula becomes more useful. The consistency (or inconsistency) of the "spreads" between the portfolio's returns and the benchmark's returns is what allows analysts to try to predict the portfolio's future performance. If, for example, we knew that the portfolio's annual returns were 0.4% higher than the benchmark 67% of the time during the last five years, we would know that this would probably be the case going forward (assuming the portfolio manager made no major changes). The predictive value of these calculations gets even better when there are more data points and when the analyst accounts for how the portfolio's securities move relative to one another (this is called co-variance). Several factors generally determine a portfolio's tracking error: 1. The degree to which the portfolio and the benchmark have securities in common 2. Differences in market capitalization, timing, investment style, and other fundamental characteristics of the portfolio and the benchmark 3. Differences in the weighting of assets between the portfolio and the benchmark 4. The management fees, custodial fees, brokerage costs and other expenses affecting the portfolio that don't affect the benchmark 5. The volatility of the benchmark 6. The portfolio's beta Further, portfolio managers must accommod
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Calculating Information Ratio
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it indicates how closely a portfolio follows the index to which it is benchmarked. The best measure is the standard deviation of https://en.wikipedia.org/wiki/Tracking_error the difference between the portfolio and index returns. Many portfolios are managed to a benchmark, typically an index. Some portfolios are expected to replicate, before trading and other costs, the returns of an index exactly (e.g., an index fund), while others are expected to 'actively manage' the portfolio by deviating slightly from the index in order to generate active returns. Tracking tracking error error is a measure of the deviation from the benchmark; the aforementioned index fund would have a tracking error close to zero, while an actively managed portfolio would normally have a higher tracking error. Thus the tracking error does not include any risk (return) that is merely a function of the market's movement. In addition to risk (return) from specific stock calculating tracking error selection or industry and factor "bets," it can also include risk (return) from market timing decisions. Dividing portfolio active return by portfolio tracking error gives the information ratio, which is a risk adjusted performance measure. Contents 1 Definition 1.1 Formulas 1.2 Interpretation 2 Examples 3 References 4 External links Definition[edit] If tracking error is measured historically, it is called 'realized' or 'ex post' tracking error. If a model is used to predict tracking error, it is called 'ex ante' tracking error. Ex-post tracking error is more useful for reporting performance, whereas ex-ante tracking error is generally used by portfolio managers to control risk. Various types of ex-ante tracking error models exist, from simple equity models which use beta as a primary determinant to more complicated multi-factor fixed income models. In a factor model of a portfolio, the non-systematic risk (i.e., the standard deviation of the residuals) is called "tracking error" in the investment field. The latter way to compute the tracking error complements the formulas below but results can vary (sometimes by a factor of 2). Formulas[edit] The ex-post tracking e