'The total return on a portfolio of investments takes into account not only the capital appreciation on the portfolio, but also the income received on the portfolio. The income typically consists of interest, dividends, and securities lending fees. This contrasts with the price return, which takes into account only the capital gain on an investment.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (80.1%) in the period of the last 5 years, the total return of -75.4% of ProShares UltraShort Consumer Services is smaller, thus worse.
- Looking at total return, or increase in value in of -29.8% in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (30.8%).

'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:- Compared with the benchmark SPY (12.5%) in the period of the last 5 years, the annual return (CAGR) of -24.5% of ProShares UltraShort Consumer Services is lower, thus worse.
- During the last 3 years, the annual performance (CAGR) is -11.1%, which is lower, thus worse than the value of 9.4% from the benchmark.

'Volatility is a statistical measure of the dispersion of returns for a given security or market index. Volatility can either be measured by using the standard deviation or variance between returns from that same security or market index. Commonly, the higher the volatility, the riskier the security. In the securities markets, volatility is often associated with big swings in either direction. For example, when the stock market rises and falls more than one percent over a sustained period of time, it is called a 'volatile' market.'

Applying this definition to our asset in some examples:- Looking at the 30 days standard deviation of 44.1% in the last 5 years of ProShares UltraShort Consumer Services, we see it is relatively higher, thus worse in comparison to the benchmark SPY (21.3%)
- Looking at historical 30 days volatility in of 43.5% in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (17.6%).

'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.'

Which means for our asset as example:- Compared with the benchmark SPY (15.3%) in the period of the last 5 years, the downside risk of 30% of ProShares UltraShort Consumer Services is larger, thus worse.
- During the last 3 years, the downside volatility is 29.8%, which is higher, thus worse than the value of 12.3% 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.'

Applying this definition to our asset in some examples:- Looking at the risk / return profile (Sharpe) of -0.61 in the last 5 years of ProShares UltraShort Consumer Services, we see it is relatively lower, thus worse in comparison to the benchmark SPY (0.47)
- Compared with SPY (0.39) in the period of the last 3 years, the risk / return profile (Sharpe) of -0.31 is lower, thus worse.

'The Sortino ratio, a variation of the Sharpe ratio only factors in the downside, or negative volatility, rather than the total volatility used in calculating the Sharpe ratio. The theory behind the Sortino variation is that upside volatility is a plus for the investment, and it, therefore, should not be included in the risk calculation. Therefore, the Sortino ratio takes upside volatility out of the equation and uses only the downside standard deviation in its calculation instead of the total standard deviation that is used in calculating the Sharpe ratio.'

Applying this definition to our asset in some examples:- Looking at the downside risk / excess return profile of -0.9 in the last 5 years of ProShares UltraShort Consumer Services, we see it is relatively lower, thus worse in comparison to the benchmark SPY (0.66)
- During the last 3 years, the downside risk / excess return profile is -0.46, which is lower, thus worse than the value of 0.56 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:- The Ulcer Ratio over 5 years of ProShares UltraShort Consumer Services is 67 , which is larger, thus worse compared to the benchmark SPY (9.43 ) in the same period.
- Compared with SPY (10 ) in the period of the last 3 years, the Ulcer Ratio of 28 is larger, thus worse.

'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.'

Which means for our asset as example:- Compared with the benchmark SPY (-33.7 days) in the period of the last 5 years, the maximum DrawDown of -83.4 days of ProShares UltraShort Consumer Services is lower, thus worse.
- Looking at maximum DrawDown in of -51.6 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). Many assume Max DD Duration is the length of time between new highs during which the Max DD (magnitude) occurred. But that isn’t always the case. The Max DD duration is the longest time between peaks, period. So it could be the time when the program also had its biggest peak to valley loss (and usually is, because the program needs a long time to recover from the largest loss), but it doesn’t have to be'

Using this definition on our asset we see for example:- Looking at the maximum time in days below previous high water mark of 1240 days in the last 5 years of ProShares UltraShort Consumer Services, we see it is relatively larger, thus worse in comparison to the benchmark SPY (478 days)
- During the last 3 years, the maximum days under water is 364 days, which is lower, thus better than the value of 478 days from the benchmark.

'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.'

Which means for our asset as example:- Compared with the benchmark SPY (118 days) in the period of the last 5 years, the average days below previous high of 617 days of ProShares UltraShort Consumer Services is greater, thus worse.
- During the last 3 years, the average days under water is 175 days, which is higher, thus worse than the value of 173 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 Consumer Services 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.