'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:- Compared with the benchmark SPY (133.2%) in the period of the last 5 years, the total return, or increase in value of 671.7% of ProShares Ultra QQQ is higher, thus better.
- Looking at total return, or increase in value in of 309.2% in the period of the last 3 years, we see it is relatively larger, thus better in comparison to SPY (80.4%).

'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.'

Which means for our asset as example:- Looking at the compounded annual growth rate (CAGR) of 50.6% in the last 5 years of ProShares Ultra QQQ, we see it is relatively greater, thus better in comparison to the benchmark SPY (18.5%)
- Looking at compounded annual growth rate (CAGR) in of 60% in the period of the last 3 years, we see it is relatively higher, thus better in comparison to SPY (21.8%).

'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.'

Using this definition on our asset we see for example:- Looking at the historical 30 days volatility of 44.3% in the last 5 years of ProShares Ultra QQQ, we see it is relatively higher, thus worse in comparison to the benchmark SPY (18.7%)
- During the last 3 years, the volatility is 51.5%, which is higher, thus worse than the value of 22.4% from the benchmark.

'Downside risk is the financial risk associated with losses. That is, it is the risk of the actual return being below the expected return, or the uncertainty about the magnitude of that difference. 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:- Compared with the benchmark SPY (13.6%) in the period of the last 5 years, the downside risk of 31.7% of ProShares Ultra QQQ is greater, thus worse.
- Compared with SPY (16.2%) in the period of the last 3 years, the downside volatility of 36.6% is larger, thus worse.

'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.'

Using this definition on our asset we see for example:- Looking at the ratio of return and volatility (Sharpe) of 1.09 in the last 5 years of ProShares Ultra QQQ, we see it is relatively larger, thus better in comparison to the benchmark SPY (0.85)
- During the last 3 years, the risk / return profile (Sharpe) is 1.12, which is larger, thus better than the value of 0.86 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:- The ratio of annual return and downside deviation over 5 years of ProShares Ultra QQQ is 1.52, which is higher, thus better compared to the benchmark SPY (1.18) in the same period.
- Looking at downside risk / excess return profile in of 1.57 in the period of the last 3 years, we see it is relatively greater, thus better in comparison to SPY (1.19).

'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:- The Downside risk index over 5 years of ProShares Ultra QQQ is 12 , which is larger, thus worse compared to the benchmark SPY (5.59 ) in the same period.
- During the last 3 years, the Ulcer Ratio is 12 , which is higher, thus worse than the value of 6.36 from the benchmark.

'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:- Compared with the benchmark SPY (-33.7 days) in the period of the last 5 years, the maximum reduction from previous high of -51.7 days of ProShares Ultra QQQ is lower, thus worse.
- Looking at maximum reduction from previous high in of -51.7 days in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (-33.7 days).

'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.'

Which means for our asset as example:- Compared with the benchmark SPY (139 days) in the period of the last 5 years, the maximum time in days below previous high water mark of 214 days of ProShares Ultra QQQ is greater, thus worse.
- Looking at maximum days below previous high in of 92 days in the period of the last 3 years, we see it is relatively lower, thus better in comparison to SPY (119 days).

'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:- The average days below previous high over 5 years of ProShares Ultra QQQ is 37 days, which is greater, thus worse compared to the benchmark SPY (32 days) in the same period.
- Compared with SPY (25 days) in the period of the last 3 years, the average time in days below previous high water mark of 26 days is larger, thus worse.

Historical returns have been extended using synthetic data.
[Show Details]

- Note that yearly returns do not equal the sum of monthly returns due to compounding.
- Performance results of ProShares Ultra QQQ 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.