'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.'

Using this definition on our asset we see for example:- The total return, or increase in value over 5 years of ProShares UltraShort Technology is -87.6%, which is smaller, thus worse compared to the benchmark SPY (68.2%) in the same period.
- During the last 3 years, the total return, or increase in value is -78.1%, which is lower, thus worse than the value of 47.7% 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.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (11%) in the period of the last 5 years, the compounded annual growth rate (CAGR) of -34.2% of ProShares UltraShort Technology is lower, thus worse.
- Looking at annual performance (CAGR) in of -39.7% in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (13.9%).

'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 (13.2%) in the period of the last 5 years, the 30 days standard deviation of 35.9% of ProShares UltraShort Technology is greater, thus worse.
- During the last 3 years, the historical 30 days volatility is 36.3%, which is greater, thus worse than the value of 12.4% 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.'

Using this definition on our asset we see for example:- The downside risk over 5 years of ProShares UltraShort Technology is 33%, which is greater, thus worse compared to the benchmark SPY (14.6%) in the same period.
- During the last 3 years, the downside risk is 32.8%, which is higher, thus worse than the value of 14% from the benchmark.

'The Sharpe ratio was developed by Nobel laureate William F. Sharpe, and is used to help investors understand the return of an investment compared to its risk. The ratio is the average return earned in excess of the risk-free rate per unit of volatility or total risk. Subtracting the risk-free rate from the mean return allows an investor to better isolate the profits associated with risk-taking activities. One intuition of this calculation is that a portfolio engaging in 'zero risk' investments, such as the purchase of U.S. Treasury bills (for which the expected return is the risk-free rate), has a Sharpe ratio of exactly zero. Generally, the greater the value of the Sharpe ratio, the more attractive the risk-adjusted return.'

Using this definition on our asset we see for example:- Looking at the ratio of return and volatility (Sharpe) of -1.02 in the last 5 years of ProShares UltraShort Technology, we see it is relatively lower, thus worse in comparison to the benchmark SPY (0.64)
- Looking at risk / return profile (Sharpe) in of -1.16 in the period of the last 3 years, we see it is relatively smaller, thus worse in comparison to SPY (0.92).

'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.'

Applying this definition to our asset in some examples:- Looking at the ratio of annual return and downside deviation of -1.11 in the last 5 years of ProShares UltraShort Technology, we see it is relatively lower, thus worse in comparison to the benchmark SPY (0.58)
- During the last 3 years, the excess return divided by the downside deviation is -1.29, which is lower, thus worse than the value of 0.81 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:- Compared with the benchmark SPY (3.95 ) in the period of the last 5 years, the Ulcer Ratio of 61 of ProShares UltraShort Technology is larger, thus better.
- Looking at Downside risk index in of 58 in the period of the last 3 years, we see it is relatively larger, thus better in comparison to SPY (4 ).

'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.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (-19.3 days) in the period of the last 5 years, the maximum reduction from previous high of -88.5 days of ProShares UltraShort Technology is smaller, thus worse.
- During the last 3 years, the maximum drop from peak to valley is -80 days, which is lower, 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:- The maximum time in days below previous high water mark over 5 years of ProShares UltraShort Technology is 1243 days, which is larger, thus worse compared to the benchmark SPY (187 days) in the same period.
- During the last 3 years, the maximum days under water is 687 days, which is greater, thus worse than the value of 131 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.'

Applying this definition to our asset in some examples:- Looking at the average days below previous high of 618 days in the last 5 years of ProShares UltraShort Technology, we see it is relatively greater, thus worse in comparison to the benchmark SPY (39 days)
- Compared with SPY (33 days) in the period of the last 3 years, the average days below previous high of 318 days is larger, thus worse.

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 ProShares UltraShort Technology 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.