'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 -94.2%, which is lower, thus worse compared to the benchmark SPY (68.1%) in the same period.
- Looking at total return, or increase in value in of -81.2% in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (47%).

'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 annual performance (CAGR) over 5 years of ProShares UltraShort Technology is -43.5%, which is smaller, thus worse compared to the benchmark SPY (11%) in the same period.
- During the last 3 years, the compounded annual growth rate (CAGR) is -42.7%, which is smaller, thus worse than the value of 13.7% 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.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (21.4%) in the period of the last 5 years, the volatility of 55.1% of ProShares UltraShort Technology is larger, thus worse.
- During the last 3 years, the 30 days standard deviation is 55%, which is higher, thus worse than the value of 18.7% 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:- Looking at the downside volatility of 39.5% in the last 5 years of ProShares UltraShort Technology, we see it is relatively larger, thus worse in comparison to the benchmark SPY (15.4%)
- During the last 3 years, the downside volatility is 39.7%, which is greater, thus worse than the value of 13.3% 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 risk / return profile (Sharpe) over 5 years of ProShares UltraShort Technology is -0.84, which is smaller, thus worse compared to the benchmark SPY (0.4) in the same period.
- Compared with SPY (0.6) in the period of the last 3 years, the Sharpe Ratio of -0.82 is smaller, thus worse.

'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.'

Applying this definition to our asset in some examples:- Looking at the excess return divided by the downside deviation of -1.17 in the last 5 years of ProShares UltraShort Technology, we see it is relatively lower, thus worse in comparison to the benchmark SPY (0.55)
- During the last 3 years, the ratio of annual return and downside deviation is -1.14, which is lower, thus worse than the value of 0.84 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.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (9.45 ) in the period of the last 5 years, the Ulcer Index of 76 of ProShares UltraShort Technology is larger, thus worse.
- Looking at Ulcer Ratio in of 64 in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (10 ).

'Maximum drawdown measures the loss in any losing period during a fund’s investment record. It is defined as the percent retrenchment from a fund’s peak value to the fund’s valley value. The drawdown is in effect from the time the fund’s retrenchment begins until a new fund high is reached. The maximum drawdown encompasses both the period from the fund’s peak to the fund’s valley (length), and the time from the fund’s valley to a new fund high (recovery). It measures the largest percentage drawdown that has occurred in any fund’s data record.'

Applying this definition to our asset in some examples:- The maximum drop from peak to valley over 5 years of ProShares UltraShort Technology is -95.7 days, which is lower, thus worse compared to the benchmark SPY (-33.7 days) in the same period.
- Looking at maximum DrawDown in of -81.2 days in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (-24.5 days).

'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:- Looking at the maximum time in days below previous high water mark of 1113 days in the last 5 years of ProShares UltraShort Technology, we see it is relatively larger, thus worse in comparison to the benchmark SPY (351 days)
- Looking at maximum time in days below previous high water mark in of 755 days in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (351 days).

'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.'

Using this definition on our asset we see for example:- The average time in days below previous high water mark over 5 years of ProShares UltraShort Technology is 501 days, which is higher, thus worse compared to the benchmark SPY (78 days) in the same period.
- During the last 3 years, the average days below previous high is 378 days, which is higher, thus worse than the value of 101 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 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.