'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, or performance of 109.1% in the last 5 years of Invesco QQQ Trust, we see it is relatively greater, thus better in comparison to the benchmark SPY (64%)
- Compared with SPY (51.6%) in the period of the last 3 years, the total return of 83% is higher, thus better.

'Compound annual growth rate (CAGR) is a business and investing specific term for the geometric progression ratio that provides a constant rate of return over the time period. CAGR is not an accounting term, but it is often used to describe some element of the business, for example revenue, units delivered, registered users, etc. CAGR dampens the effect of volatility of periodic returns that can render arithmetic means irrelevant. It is particularly useful to compare growth rates from various data sets of common domain such as revenue growth of companies in the same industry.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (10.4%) in the period of the last 5 years, the annual performance (CAGR) of 15.9% of Invesco QQQ Trust is greater, thus better.
- During the last 3 years, the annual performance (CAGR) is 22.4%, which is greater, thus better than the value of 14.9% from the benchmark.

'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.'

Applying this definition to our asset in some examples:- The volatility over 5 years of Invesco QQQ Trust is 17%, which is greater, thus worse compared to the benchmark SPY (13.4%) in the same period.
- Looking at historical 30 days volatility in of 16.8% in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (12.5%).

'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.'

Applying this definition to our asset in some examples:- Looking at the downside deviation of 19.1% in the last 5 years of Invesco QQQ Trust, we see it is relatively greater, thus worse in comparison to the benchmark SPY (14.6%)
- During the last 3 years, the downside deviation is 19.4%, which is greater, thus worse than the value of 14% 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:- Compared with the benchmark SPY (0.59) in the period of the last 5 years, the Sharpe Ratio of 0.79 of Invesco QQQ Trust is greater, thus better.
- During the last 3 years, the risk / return profile (Sharpe) is 1.18, which is larger, thus better than the value of 1 from the benchmark.

'The Sortino ratio measures the risk-adjusted return of an investment asset, portfolio, or strategy. It is a modification of the Sharpe ratio but penalizes only those returns falling below a user-specified target or required rate of return, while the Sharpe ratio penalizes both upside and downside volatility equally. Though both ratios measure an investment's risk-adjusted return, they do so in significantly different ways that will frequently lead to differing conclusions as to the true nature of the investment's return-generating efficiency. The Sortino ratio is used as a way to compare the risk-adjusted performance of programs with differing risk and return profiles. In general, risk-adjusted returns seek to normalize the risk across programs and then see which has the higher return unit per risk.'

Using this definition on our asset we see for example:- The downside risk / excess return profile over 5 years of Invesco QQQ Trust is 0.7, which is higher, thus better compared to the benchmark SPY (0.54) in the same period.
- Compared with SPY (0.89) in the period of the last 3 years, the downside risk / excess return profile of 1.02 is greater, thus better.

'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.'

Which means for our asset as example:- Compared with the benchmark SPY (3.99 ) in the period of the last 5 years, the Ulcer Index of 4.98 of Invesco QQQ Trust is higher, thus worse.
- Looking at Ulcer Ratio in of 4.89 in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (4.04 ).

'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.'

Applying this definition to our asset in some examples:- Looking at the maximum DrawDown of -22.8 days in the last 5 years of Invesco QQQ Trust, we see it is relatively lower, thus worse in comparison to the benchmark SPY (-19.3 days)
- During the last 3 years, the maximum reduction from previous high is -22.8 days, which is smaller, thus worse than the value of -19.3 days from the benchmark.

'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:- Looking at the maximum days under water of 163 days in the last 5 years of Invesco QQQ Trust, we see it is relatively lower, thus better in comparison to the benchmark SPY (187 days)
- During the last 3 years, the maximum days under water is 154 days, which is larger, thus worse than the value of 139 days from the benchmark.

'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 under water of 34 days of Invesco QQQ Trust is smaller, thus better.
- During the last 3 years, the average days under water is 28 days, which is smaller, 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.