'Total return, when measuring performance, is the actual rate of return of an investment or a pool of investments over a given evaluation period. Total return includes interest, capital gains, dividends and distributions realized over a given period of time. Total return accounts for two categories of return: income including interest paid by fixed-income investments, distributions or dividends and capital appreciation, representing the change in the market price of an asset.'

Applying this definition to our asset in some examples:- Looking at the total return, or performance of 129.7% in the last 5 years of Invesco QQQ Trust, we see it is relatively greater, thus better in comparison to the benchmark SPY (72.2%)
- Compared with SPY (48.3%) in the period of the last 3 years, the total return of 78.9% is greater, thus better.

'The compound annual growth rate isn't a true return rate, but rather a representational figure. It is essentially a number that describes the rate at which an investment would have grown if it had grown the same rate every year and the profits were reinvested at the end of each year. In reality, this sort of performance is unlikely. However, CAGR can be used to smooth returns so that they may be more easily understood when compared to alternative investments.'

Applying this definition to our asset in some examples:- The compounded annual growth rate (CAGR) over 5 years of Invesco QQQ Trust is 18.1%, which is larger, thus better compared to the benchmark SPY (11.5%) in the same period.
- Compared with SPY (14.1%) in the period of the last 3 years, the compounded annual growth rate (CAGR) of 21.4% is larger, thus better.

'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:- The volatility over 5 years of Invesco QQQ Trust is 16.7%, which is greater, thus worse compared to the benchmark SPY (13.2%) in the same period.
- During the last 3 years, the 30 days standard deviation is 16.6%, which is higher, thus worse than the value of 12.4% from the benchmark.

'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 volatility over 5 years of Invesco QQQ Trust is 18.9%, which is larger, thus worse compared to the benchmark SPY (14.5%) in the same period.
- During the last 3 years, the downside deviation is 19.2%, which is greater, thus worse than the value of 14.1% 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.'

Using this definition on our asset we see for example:- The Sharpe Ratio over 5 years of Invesco QQQ Trust is 0.93, which is higher, thus better compared to the benchmark SPY (0.68) in the same period.
- Compared with SPY (0.93) in the period of the last 3 years, the ratio of return and volatility (Sharpe) of 1.14 is higher, thus better.

'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.'

Which means for our asset as example:- The excess return divided by the downside deviation over 5 years of Invesco QQQ Trust is 0.83, which is larger, thus better compared to the benchmark SPY (0.62) in the same period.
- During the last 3 years, the downside risk / excess return profile is 0.99, which is higher, thus better than the value of 0.82 from the benchmark.

'The Ulcer Index is a technical indicator that measures downside risk, in terms of both the depth and duration of price declines. The index increases in value as the price moves farther away from a recent high and falls as the price rises to new highs. The indicator is usually calculated over a 14-day period, with the Ulcer Index showing the percentage drawdown a trader can expect from the high over that period. The greater the value of the Ulcer Index, the longer it takes for a stock to get back to the former high.'

Which means for our asset as example:- Looking at the Ulcer Index of 4.89 in the last 5 years of Invesco QQQ Trust, we see it is relatively greater, thus better in comparison to the benchmark SPY (3.95 )
- During the last 3 years, the Ulcer Index is 4.79 , which is greater, thus better than the value of 4 from the benchmark.

'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:- Compared with the benchmark SPY (-19.3 days) in the period of the last 5 years, the maximum drop from peak to valley of -22.8 days of Invesco QQQ Trust is lower, thus worse.
- During the last 3 years, the maximum DrawDown is -22.8 days, which is lower, thus worse than the value of -19.3 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) in days.'

Which means for our asset as example:- Compared with the benchmark SPY (187 days) in the period of the last 5 years, the maximum time in days below previous high water mark of 163 days of Invesco QQQ Trust is lower, thus better.
- Compared with SPY (139 days) in the period of the last 3 years, the maximum time in days below previous high water mark of 154 days is higher, thus worse.

'The Average 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. 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 (41 days) in the period of the last 5 years, the average days below previous high of 34 days of Invesco QQQ Trust is smaller, thus better.
- During the last 3 years, the average days below previous high is 28 days, which is lower, thus better than the value of 36 days from the benchmark.

Historical returns have been extended using synthetic data.
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- "Year" returns in the table above are not equal to the sum of monthly returns due to compounding.
- Performance results of Invesco QQQ Trust 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.