'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:- Looking at the total return of 33.4% in the last 5 years of iShares MSCI EAFE ETF, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (109.2%)
- During the last 3 years, the total return, or increase in value is 6.2%, which is smaller, thus worse than the value of 33.3% from the benchmark.

'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:- The annual return (CAGR) over 5 years of iShares MSCI EAFE ETF is 5.9%, which is lower, thus worse compared to the benchmark SPY (15.9%) in the same period.
- During the last 3 years, the compounded annual growth rate (CAGR) is 2%, which is smaller, thus worse than the value of 10.1% from the benchmark.

'In finance, volatility (symbol σ) is the degree of variation of a trading price series over time as measured by the standard deviation of logarithmic returns. Historic volatility measures a time series of past market prices. Implied volatility looks forward in time, being derived from the market price of a market-traded derivative (in particular, an option). Commonly, the higher the volatility, the riskier the security.'

Applying this definition to our asset in some examples:- Looking at the 30 days standard deviation of 19.9% in the last 5 years of iShares MSCI EAFE ETF, we see it is relatively smaller, thus better in comparison to the benchmark SPY (20.9%)
- Compared with SPY (17.6%) in the period of the last 3 years, the historical 30 days volatility of 16.9% is lower, thus better.

'Risk measures typically quantify the downside risk, whereas the standard deviation (an example of a deviation risk measure) measures both the upside and downside risk. Specifically, downside risk in our definition is the semi-deviation, that is the standard deviation of all negative returns.'

Using this definition on our asset we see for example:- The downside deviation over 5 years of iShares MSCI EAFE ETF is 14.4%, which is smaller, thus better compared to the benchmark SPY (14.9%) in the same period.
- During the last 3 years, the downside risk is 11.6%, which is smaller, thus better than the value of 12.3% from the benchmark.

'The Sharpe ratio (also known as the Sharpe index, the Sharpe measure, and the reward-to-variability ratio) is a way to examine the performance of an investment by adjusting for its risk. The ratio measures the excess return (or risk premium) per unit of deviation in an investment asset or a trading strategy, typically referred to as risk, named after William F. Sharpe.'

Applying this definition to our asset in some examples:- Looking at the risk / return profile (Sharpe) of 0.17 in the last 5 years of iShares MSCI EAFE ETF, we see it is relatively lower, thus worse in comparison to the benchmark SPY (0.64)
- Compared with SPY (0.43) in the period of the last 3 years, the Sharpe Ratio of -0.03 is lower, 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:- Compared with the benchmark SPY (0.9) in the period of the last 5 years, the excess return divided by the downside deviation of 0.24 of iShares MSCI EAFE ETF is lower, thus worse.
- Looking at excess return divided by the downside deviation in of -0.04 in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (0.62).

'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:- Looking at the Ulcer Index of 11 in the last 5 years of iShares MSCI EAFE ETF, we see it is relatively larger, thus worse in comparison to the benchmark SPY (9.32 )
- Compared with SPY (10 ) in the period of the last 3 years, the Ulcer Index of 11 is larger, thus worse.

'A maximum drawdown is the maximum loss from a peak to a trough of a portfolio, before a new peak is attained. Maximum Drawdown is an indicator of downside risk over a specified time period. It can be used both as a stand-alone measure or as an input into other metrics such as 'Return over Maximum Drawdown' and the Calmar Ratio. Maximum Drawdown is expressed in percentage terms.'

Using this definition on our asset we see for example:- Looking at the maximum DrawDown of -33.9 days in the last 5 years of iShares MSCI EAFE ETF, we see it is relatively lower, thus worse in comparison to the benchmark SPY (-33.7 days)
- Compared with SPY (-24.5 days) in the period of the last 3 years, the maximum reduction from previous high of -29.3 days is lower, thus worse.

'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'

Which means for our asset as example:- Looking at the maximum time in days below previous high water mark of 615 days in the last 5 years of iShares MSCI EAFE ETF, we see it is relatively higher, thus worse in comparison to the benchmark SPY (488 days)
- During the last 3 years, the maximum days under water is 569 days, which is larger, thus worse 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:- Compared with the benchmark SPY (123 days) in the period of the last 5 years, the average time in days below previous high water mark of 183 days of iShares MSCI EAFE ETF is greater, thus worse.
- During the last 3 years, the average days under water is 225 days, which is larger, thus worse than the value of 176 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 iShares MSCI EAFE ETF are hypothetical and do not account for slippage, fees or taxes.