'Total return is the amount of value an investor earns from a security over a specific period, typically one year, when all distributions are reinvested. Total return is expressed as a percentage of the amount invested. For example, a total return of 20% means the security increased by 20% of its original value due to a price increase, distribution of dividends (if a stock), coupons (if a bond) or capital gains (if a fund). Total return is a strong measure of an investment’s overall performance.'

Which means for our asset as example:- Compared with the benchmark SPY (102%) in the period of the last 5 years, the total return of 55.1% of SPDR DJ Euro STOXX 50 Etf is lower, thus worse.
- Compared with SPY (31.5%) in the period of the last 3 years, the total return, or performance of 18.4% is smaller, thus worse.

'The compound annual growth rate (CAGR) is a useful measure of growth over multiple time periods. It can be thought of as the growth rate that gets you from the initial investment value to the ending investment value if you assume that the investment has been compounding over the time period.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (15.1%) in the period of the last 5 years, the annual performance (CAGR) of 9.2% of SPDR DJ Euro STOXX 50 Etf is lower, thus worse.
- Looking at annual return (CAGR) in of 5.8% in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (9.6%).

'Volatility is a statistical measure of the dispersion of returns for a given security or market index. Volatility can either be measured by using the standard deviation or variance between returns from that same security or market index. Commonly, the higher the volatility, the riskier the security. In the securities markets, volatility is often associated with big swings in either direction. For example, when the stock market rises and falls more than one percent over a sustained period of time, it is called a 'volatile' market.'

Using this definition on our asset we see for example:- Looking at the historical 30 days volatility of 24.2% in the last 5 years of SPDR DJ Euro STOXX 50 Etf, we see it is relatively larger, thus worse in comparison to the benchmark SPY (20.9%)
- During the last 3 years, the historical 30 days volatility is 21.6%, which is greater, thus worse than the value of 17.6% from the benchmark.

'The downside volatility is similar to the volatility, or standard deviation, but only takes losing/negative periods into account.'

Applying this definition to our asset in some examples:- Looking at the downside volatility of 17.6% in the last 5 years of SPDR DJ Euro STOXX 50 Etf, we see it is relatively greater, thus worse in comparison to the benchmark SPY (14.9%)
- Compared with SPY (12.4%) in the period of the last 3 years, the downside risk of 14.9% is higher, thus worse.

'The Sharpe ratio was developed by Nobel laureate William F. Sharpe, and is used to help investors understand the return of an investment compared to its risk. The ratio is the average return earned in excess of the risk-free rate per unit of volatility or total risk. Subtracting the risk-free rate from the mean return allows an investor to better isolate the profits associated with risk-taking activities. One intuition of this calculation is that a portfolio engaging in 'zero risk' investments, such as the purchase of U.S. Treasury bills (for which the expected return is the risk-free rate), has a Sharpe ratio of exactly zero. Generally, the greater the value of the Sharpe ratio, the more attractive the risk-adjusted return.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (0.6) in the period of the last 5 years, the Sharpe Ratio of 0.28 of SPDR DJ Euro STOXX 50 Etf is lower, thus worse.
- Compared with SPY (0.4) in the period of the last 3 years, the ratio of return and volatility (Sharpe) of 0.15 is smaller, thus worse.

'The Sortino ratio, a variation of the Sharpe ratio only factors in the downside, or negative volatility, rather than the total volatility used in calculating the Sharpe ratio. The theory behind the Sortino variation is that upside volatility is a plus for the investment, and it, therefore, should not be included in the risk calculation. Therefore, the Sortino ratio takes upside volatility out of the equation and uses only the downside standard deviation in its calculation instead of the total standard deviation that is used in calculating the Sharpe ratio.'

Using this definition on our asset we see for example:- Looking at the excess return divided by the downside deviation of 0.38 in the last 5 years of SPDR DJ Euro STOXX 50 Etf, we see it is relatively lower, thus worse in comparison to the benchmark SPY (0.84)
- Looking at downside risk / excess return profile in of 0.22 in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (0.57).

'The ulcer index is a stock market risk measure or technical analysis indicator devised by Peter Martin in 1987, and published by him and Byron McCann in their 1989 book The Investors Guide to Fidelity Funds. It's designed as a measure of volatility, but only volatility in the downward direction, i.e. the amount of drawdown or retracement occurring over a period. Other volatility measures like standard deviation treat up and down movement equally, but a trader doesn't mind upward movement, it's the downside that causes stress and stomach ulcers that the index's name suggests.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (9.32 ) in the period of the last 5 years, the Downside risk index of 12 of SPDR DJ Euro STOXX 50 Etf is greater, thus worse.
- Looking at Ulcer Index in of 13 in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (10 ).

'Maximum drawdown is defined as the peak-to-trough decline of an investment during a specific period. It is usually quoted as a percentage of the peak value. The maximum drawdown can be calculated based on absolute returns, in order to identify strategies that suffer less during market downturns, such as low-volatility strategies. However, the maximum drawdown can also be calculated based on returns relative to a benchmark index, for identifying strategies that show steady outperformance over time.'

Which means for our asset as example:- The maximum DrawDown over 5 years of SPDR DJ Euro STOXX 50 Etf is -38.9 days, which is lower, thus worse compared to the benchmark SPY (-33.7 days) in the same period.
- During the last 3 years, the maximum reduction from previous high is -35 days, which is lower, thus worse than the value of -24.5 days from the benchmark.

'The Drawdown Duration is the length of any peak to peak period, or the time between new equity highs. The Max Drawdown Duration is the worst (the maximum/longest) amount of time an investment has seen between peaks (equity highs). Many assume Max DD Duration is the length of time between new highs during which the Max DD (magnitude) occurred. But that isn’t always the case. The Max DD duration is the longest time between peaks, period. So it could be the time when the program also had its biggest peak to valley loss (and usually is, because the program needs a long time to recover from the largest loss), but it doesn’t have to be'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (488 days) in the period of the last 5 years, the maximum time in days below previous high water mark of 365 days of SPDR DJ Euro STOXX 50 Etf is smaller, thus better.
- During the last 3 years, the maximum days below previous high is 365 days, which is smaller, thus better than the value of 488 days from the benchmark.

'The Drawdown Duration is the length of any peak to peak period, or the time between new equity highs. The Avg Drawdown Duration is the average amount of time an investment has seen between peaks (equity highs), or in other terms the average of time under water of all drawdowns. So in contrast to the Maximum duration it does not measure only one drawdown event but calculates the average of all.'

Using this definition on our asset we see for example:- The average days below previous high over 5 years of SPDR DJ Euro STOXX 50 Etf is 94 days, which is lower, thus better compared to the benchmark SPY (123 days) in the same period.
- During the last 3 years, the average days below previous high is 109 days, which is smaller, thus better than the value of 177 days from the benchmark.

Historical returns have been extended using synthetic data.
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- Note that yearly returns do not equal the sum of monthly returns due to compounding.
- Performance results of SPDR DJ Euro STOXX 50 Etf are hypothetical and do not account for slippage, fees or taxes.