The Levy - Gunthorpe standard deviation is superior to calculating
the annualized standard deviation of returns as the product of the standard deviation of the monthly returns multiplied by the square root of 12.
Take a set of 5 - year annual returns, and calculate
the annualized standard deviation of returns (using monthly deviations and annualizing them is informative).
Key performance metrics are annualized average gross return,
annualized standard deviation of returns, annualized gross Sharpe ratio (assuming risk - free rate 0 %) and maximum drawdown.
Not exact matches
Volatility represented by
annualized standard deviation of monthly
returns for Institutional shares, all other share classes will vary, from first month - end after inception (2/28/89).
Calculate daily realized volatility
of IEF as the
standard deviation of daily total
returns over the past 21 trading days, multiplied by the square root
of 252 to
annualize.
«Identifying VXX / XIV Tendencies» finds that the Volatility Risk Premium (VRP), estimated as the difference between the current level
of the S&P 500 implied volatility index (VIX) and the
annualized standard deviation of S&P 500 Index daily
returns over the previous 21 trading days (multiplying by the square root
of 250 to
annualize), may be a useful predictor
of iPath S&P 500 VIX Short - term Futures ETN (VXX) and VelocityShares Daily Inverse VIX Short - term ETN (XIV)
returns.
For this comparison, Sharpe is defined as fund
annualized percentage
return (APR) minus 90 - day TBill APR divided by fund
annualized standard deviation STDEV, all over the same period, which is lifetime
of fund (or back to January 1962).
Specifically, it is the ratio
of the fund's
annualized excess
return divided its
standard deviation.
While IJR outperformed MDY in terms
of the
annualized return, alpha and Sharpe ratio (just slightly), it also had the highest
standard deviation (volatility), maximum drawdown and beta
of all three ETFs.
The
annualized return (approximately) equals the average
return minus one - half
of the
standard deviation squared (or one - half
of the variance).
For even more perspective, the Credit Suisse Global Investment
Returns Yearbook 2014 reports that the
return of US stocks had an
annualized standard deviation of about 20 % from 1928 through 2013.
Since the Fund's launch in 1989, investors have doubled their money every 10 years, no matter when they bought the fund... The fund has outperformed global equities with 1/3 less risk [based on
annualized standard deviation of monthly
returns for Institutional shares from 2/28/89 to 12/31/13, compared to the FTSE World Index].
The chart shows that the
annualized standard deviation of the least popular quartile was 20.18 %; the most popular quartile, by comparison, actually had a much higher
annualized standard deviation of 28.35 % — suggesting that this measure
of unpopularity actually gives higher
returns with less risk.
Over the seven - year period from 2008 to 2014, the
annualized return for the 60/40 combination was 7.01 %, with a
standard deviation of 13.21 %.
Grouped funds are plotted in terms
of 3 year
annualized standard deviation versus 3 year compound
return
Since its October 2014 inception, AQR Equity Market Neutral Fund I QMNIX has
returned 18.6 %
annualized with a
standard deviation of 7.0 %, for a Sharpe ratio
of 2.66.
The fund's volatility, measured as an
annualized standard deviation of monthly
returns, was about 10 % above that
of the reference portfolio.
To investigate, we consider two measures
of U.S. stock market volatility: (1) realized volatility, calculated as the
standard deviation of daily S&P 500 Index
return over the last 21 trading days (
annualized); and, (2) implied volatility as measured by the Chicago Board Options Exchange Market Volatility Index (VIX).
Calculated by
annualizing the
standard deviation of the fund's daily
returns over the 1 - year period ended as
of the date
of the calculation.
For reference, in the same time frame a portfolio consisting
of just the SPY would have an
annualized return of 8.52 % with a
standard deviation of 14.25 %, Sharpe ratio
of 0.55 and maximum drawdown
of 50.8 %.
The volatility
of the reference portfolio, measured as the
annualized standard deviation of monthly
returns, was slightly higher than that
of the fund.
Stocks were then ranked based on their 1 year sharpe ratio, or the
annualized return of a stock divided by its
annualized standard deviation of the weekly
returns.
According to the useful Claymore Portfolio Index Allocator, the Claymore ETF portfolio would have
returned an
annualized 6.68 % in the time period 2003 - 11 with a
standard deviation of 10.02 %.
Over the same analysis interval, the fund had a total cumulative
return of about 130 % (
annualized 9.2 %), with a
standard deviation of 15.1 %, Sharpe ratio
of 0.58, and maximum drawdown
of 44 %.
Mean
return represents the
annualized average
return of a portfolio from which the
standard deviation is calculated.
To show a relationship between excess
return and risk, this number is then divided by the
standard deviation of the portfolio's
annualized excess
returns.
The percentage spread (
standard deviation)
of the
annualized return of stocks falls faster than 1 / (the square root
of N), where N is the number
of years.
Since 1927, the index has earned an
annualized return of 10 % with an
annualized standard deviation of 20 %.
For the same time period, the S&P 500
returned 11.1 percent per year with an
annualized standard deviation of 15.07 percent.
Based on your allocation and the data it extracts from Yahoo Finance it is able to provide you with the actual projected
annualized rate
of return,
standard deviation, beta, yield and it calculates the assets correlations to tell you the level
of diversification.
The diversified portfolio
returned 9.6 percent per year with an
annualized standard deviation of 14.6 percent, while the S&P 500
returned 9.4 percent per year with an
annualized standard deviation of 15.6 percent.
From 1970 through 2007, a portfolio
of 60 percent S&P 500 Index and 40 percent MSCI EAFE
returned 11.3 percent per year with an
annualized standard deviation of 13.75 percent.
For example, the article includes supplemental information on
standard deviations and overall
annualized returns even though data reduction forced the use
of averages.
For example, the article included supplemental information on
standard deviations and overall
annualized returns when data reduction forced the use
of averages.
If the original 4 equity indexes from 1928 (IFA US Large Company Index; IFA US Large Cap Value Index; IFA US Small Cap Index; IFA US Small Cap Value Index) are held constant until December 2012, the
annualized rate
of return of this simplified version
of IFA Index Portfolio 100 is 10.67 %, after the deduction
of a 0.9 % IFA advisory fee and a
standard deviation of 23.59 %.
The evolving IFA Indexes over the same period have a 10.99 %
annualized return for IFA Index Portfolio 100 after the same IFA advisory fees and a
standard deviation of 22.66 %.
And over those 40 years, the GTAA delivered an
annualized return of 10.48 % with a
standard deviation of 6.99 %, compared with a 9.92 %
return and higher volatility (10.28 %) for a buy - and - hold strategy using the same five asset classes (US and foreign stocks, bonds, real estate and commodities).
The TSX Composite
annualized returns had a
standard deviation (a measure
of riskiness
of stocks)
of 19.53 % in the 2003 to 2012 period.
Over this period, the fund generated an
annualized excess
return of 0.82 % with an
annualized standard deviation of 4.35 %.
The fund's
standard deviation, a measure
of annualized volatility
of returns, was slightly above that o the reference portfolio.
All we can do is statistically analyze the data we have to make a prediction
of the expected
annualized return in the future and the
standard deviation around that
return (aka the risk).
At about 15 %, the fund's volatility, measured by an
annualized standard deviation of monthly
returns in the entire analysis period, was slightly lower than that
of the overall stock market.