'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.'

Applying this definition to our asset in some examples:- Looking at the total return, or performance of -76.8% in the last 5 years of ProShares UltraShort Consumer Services, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (64.1%)
- Compared with SPY (48.1%) in the period of the last 3 years, the total return of -63.2% is lower, thus worse.

'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.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (10.4%) in the period of the last 5 years, the annual return (CAGR) of -39.8% of ProShares UltraShort Consumer Services is lower, thus worse.
- Looking at annual performance (CAGR) in of -44.1% in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (14%).

'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.'

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 30 days standard deviation of 38.7% of ProShares UltraShort Consumer Services is greater, thus worse.
- During the last 3 years, the 30 days standard deviation is 35.3%, which is larger, thus worse than the value of 12.8% from the benchmark.

'The downside volatility is similar to the volatility, or standard deviation, but only takes losing/negative periods into account.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (14.9%) in the period of the last 5 years, the downside volatility of 35.5% of ProShares UltraShort Consumer Services is higher, thus worse.
- Compared with SPY (14.5%) in the period of the last 3 years, the downside risk of 32.4% is greater, thus worse.

'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.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (0.58) in the period of the last 5 years, the ratio of return and volatility (Sharpe) of -1.09 of ProShares UltraShort Consumer Services is lower, thus worse.
- Looking at Sharpe Ratio in of -1.32 in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (0.9).

'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.'

Which means for our asset as example:- Compared with the benchmark SPY (0.53) in the period of the last 5 years, the ratio of annual return and downside deviation of -1.19 of ProShares UltraShort Consumer Services is smaller, thus worse.
- Compared with SPY (0.79) in the period of the last 3 years, the excess return divided by the downside deviation of -1.44 is lower, thus worse.

'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:- Looking at the Ulcer Index of 59 in the last 5 years of ProShares UltraShort Consumer Services, we see it is relatively larger, thus worse in comparison to the benchmark SPY (4.02 )
- Compared with SPY (4.09 ) in the period of the last 3 years, the Downside risk index of 49 is higher, thus worse.

'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 DrawDown of -81.6 days of ProShares UltraShort Consumer Services is lower, thus worse.
- During the last 3 years, the maximum drop from peak to valley is -66.7 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.'

Using this definition on our asset we see for example:- The maximum days under water over 5 years of ProShares UltraShort Consumer Services is 711 days, which is larger, thus worse compared to the benchmark SPY (187 days) in the same period.
- Looking at maximum days below previous high in of 412 days in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (139 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.'

Applying this definition to our asset in some examples:- Looking at the average time in days below previous high water mark of 351 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 (41 days)
- During the last 3 years, the average time in days below previous high water mark is 198 days, which is higher, thus worse than the value of 35 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 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.