'The total return on a portfolio of investments takes into account not only the capital appreciation on the portfolio, but also the income received on the portfolio. The income typically consists of interest, dividends, and securities lending fees. This contrasts with the price return, which takes into account only the capital gain on an investment.'

Which means for our asset as example:- The total return over 5 years of Invesco S&P Global Water Index ETF is 98.3%, which is lower, thus worse compared to the benchmark SPY (116.9%) in the same period.
- Looking at total return, or performance in of 59.3% in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (63.4%).

'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.'

Applying this definition to our asset in some examples:- The annual return (CAGR) over 5 years of Invesco S&P Global Water Index ETF is 14.7%, which is lower, thus worse compared to the benchmark SPY (16.8%) in the same period.
- Compared with SPY (17.8%) in the period of the last 3 years, the compounded annual growth rate (CAGR) of 16.8% is lower, thus worse.

'Volatility is a rate at which the price of a security increases or decreases for a given set of returns. Volatility is measured by calculating the standard deviation of the annualized returns over a given period of time. It shows the range to which the price of a security may increase or decrease. Volatility measures the risk of a security. It is used in option pricing formula to gauge the fluctuations in the returns of the underlying assets. Volatility indicates the pricing behavior of the security and helps estimate the fluctuations that may happen in a short period of time.'

Which means for our asset as example:- Compared with the benchmark SPY (18.7%) in the period of the last 5 years, the historical 30 days volatility of 18.6% of Invesco S&P Global Water Index ETF is lower, thus better.
- During the last 3 years, the 30 days standard deviation is 21.9%, which is smaller, thus better than the value of 22.5% from the benchmark.

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

Which means for our asset as example:- The downside deviation over 5 years of Invesco S&P Global Water Index ETF is 13.5%, which is lower, thus better compared to the benchmark SPY (13.6%) in the same period.
- During the last 3 years, the downside volatility is 15.9%, which is smaller, thus better than the value of 16.3% from the benchmark.

'The Sharpe ratio is the measure of risk-adjusted return of a financial portfolio. Sharpe ratio is a measure of excess portfolio return over the risk-free rate relative to its standard deviation. Normally, the 90-day Treasury bill rate is taken as the proxy for risk-free rate. A portfolio with a higher Sharpe ratio is considered superior relative to its peers. The measure was named after William F Sharpe, a Nobel laureate and professor of finance, emeritus at Stanford University.'

Which means for our asset as example:- Compared with the benchmark SPY (0.76) in the period of the last 5 years, the Sharpe Ratio of 0.66 of Invesco S&P Global Water Index ETF is smaller, thus worse.
- During the last 3 years, the risk / return profile (Sharpe) is 0.65, which is lower, thus worse than the value of 0.68 from the benchmark.

'The Sortino ratio improves upon the Sharpe ratio by isolating downside volatility from total volatility by dividing excess return by the downside deviation. The Sortino ratio is a variation of the Sharpe ratio that differentiates harmful volatility from total overall volatility by using the asset's standard deviation of negative asset returns, called downside deviation. The Sortino ratio takes the asset's return and subtracts the risk-free rate, and then divides that amount by the asset's downside deviation. The ratio was named after Frank A. Sortino.'

Using this definition on our asset we see for example:- Looking at the downside risk / excess return profile of 0.9 in the last 5 years of Invesco S&P Global Water Index ETF, we see it is relatively lower, thus worse in comparison to the benchmark SPY (1.05)
- Looking at downside risk / excess return profile in of 0.9 in the period of the last 3 years, we see it is relatively smaller, thus worse in comparison to SPY (0.94).

'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 Downside risk index of 6.74 in the last 5 years of Invesco S&P Global Water Index ETF, we see it is relatively greater, thus worse in comparison to the benchmark SPY (5.58 )
- Looking at Ulcer Index in of 7.64 in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (6.83 ).

'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 reduction from previous high of -35.7 days in the last 5 years of Invesco S&P Global Water Index ETF, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (-33.7 days)
- Compared with SPY (-33.7 days) in the period of the last 3 years, the maximum drop from peak to valley of -35.7 days is lower, thus worse.

'The Maximum Drawdown Duration is an extension of the Maximum Drawdown. However, this metric does not explain the drawdown in dollars or percentages, rather in days, weeks, or months. It is the length of time the account was in the Max Drawdown. A Max Drawdown measures a retrenchment from when an equity curve reaches a new high. It’s the maximum an account lost during that retrenchment. This method is applied because a valley can’t be measured until a new high occurs. Once the new high is reached, the percentage change from the old high to the bottom of the largest trough is recorded.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (139 days) in the period of the last 5 years, the maximum days below previous high of 284 days of Invesco S&P Global Water Index ETF is greater, thus worse.
- During the last 3 years, the maximum days under water is 163 days, which is higher, thus worse than the value of 139 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.'

Applying this definition to our asset in some examples:- The average days below previous high over 5 years of Invesco S&P Global Water Index ETF is 61 days, which is higher, thus worse compared to the benchmark SPY (33 days) in the same period.
- During the last 3 years, the average days below previous high is 37 days, which is higher, thus worse than the value of 35 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 Invesco S&P Global Water Index ETF are hypothetical, do not account for slippage, fees or taxes, and are based on backtesting, which has many inherent limitations, some of which are described in our Terms of Use.