Calculating Tracking Error Annualized
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Calculating Tracking Error In Excel
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Annualized Sharpe Ratio
Facebook Like Last post whystudy Apr 20th, 2009 6:42pm CFA Charterholder 641 AF Points I have quarterly returns for a fund up to 5 years and also the benchmark mark. meaning I calculation the excess return. How can I calculate the Annualized Tracking Error and why? How does the formula change for monthly returns. Thanks 5 Reasons to Use Wiley in 2016 Reason #2: No Expiration Date. You get free updates until
Annualized Alpha
you pass. learn more Share this Facebook Like Google Plus One Linkedin Share Button Tweet Widget kblade Apr 20th, 2009 7:00pm CFA Charterholder 714 AF Points For annualized tracking error I think you need to take your quarterly returns and multiply them to get annual return annual = (1+q1)(1+q2)(1+q3)(1+q4) do the same for benchmark unless it is already in annual terms then tracking error is standard deviation of (portfolio return - benchmark return) for monthly returns it’s same formula, standard deviation of (portfolio return - benchmark return), just that they are monthly returns not annual to get monthly return take 4th root of your quarterly returns i.e. (1+q)^(1/4) unless you have monthly return for portfolio and benchmark already if you don’t then your tracking error will be same for first 3 months, for the next 3 months, etc. whystudy Apr 20th, 2009 7:07pm CFA Charterholder 641 AF Points kblade Wrote: ——————————————————- > For annualized tracking error I think you need to > take your quarterly returns and multiply them to > get annual return > annual = (1+q1)(1+q2)(1+q3)(1+q4) > do the same for benchmark unless it is already in > annual terms > > then tracking error is standard deviation of > (portfolio return - benchmark return) > > for monthly returns it’s same formula, s
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 annualized standard deviation benchmark's cumulative returns from the portfolio's returns, as follows: Returnp - Returni =
Calculate Tracking Error From Monthly Returns
Tracking Error Where: p = portfolio i = index or benchmark However, the second way is more common, which annualised tracking error is to calculate the standard 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 http://www.analystforum.com/forums/cfa-forums/cfa-general-discussion/9939876 the XYZ Company mutual fund, which exists 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 http://www.investinganswers.com/financial-dictionary/mutual-funds-etfs/tracking-error-4970 be more periods during which we can compare returns. This 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
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