'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.'

Which means for our asset as example:- Compared with the benchmark SPY (78.4%) in the period of the last 5 years, the total return, or increase in value of 25.2% of ProShares UltraShort Euro is lower, thus worse.
- Looking at total return, or increase in value in of 14.7% in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (44.1%).

'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:- The annual return (CAGR) over 5 years of ProShares UltraShort Euro is 4.6%, which is lower, thus worse compared to the benchmark SPY (12.3%) in the same period.
- Compared with SPY (12.9%) in the period of the last 3 years, the annual performance (CAGR) of 4.7% is lower, thus worse.

'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:- Compared with the benchmark SPY (19.9%) in the period of the last 5 years, the 30 days standard deviation of 13.9% of ProShares UltraShort Euro is lower, thus better.
- Looking at historical 30 days volatility in of 13.9% in the period of the last 3 years, we see it is relatively smaller, thus better in comparison to SPY (23.1%).

'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.'

Which means for our asset as example:- Compared with the benchmark SPY (14.6%) in the period of the last 5 years, the downside volatility of 9.5% of ProShares UltraShort Euro is lower, thus better.
- Compared with SPY (16.9%) in the period of the last 3 years, the downside volatility of 9.6% is lower, thus better.

'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.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (0.49) in the period of the last 5 years, the Sharpe Ratio of 0.15 of ProShares UltraShort Euro is smaller, thus worse.
- During the last 3 years, the Sharpe Ratio is 0.16, which is smaller, thus worse than the value of 0.45 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:- Looking at the excess return divided by the downside deviation of 0.22 in the last 5 years of ProShares UltraShort Euro, we see it is relatively lower, thus worse in comparison to the benchmark SPY (0.67)
- Compared with SPY (0.62) in the period of the last 3 years, the excess return divided by the downside deviation of 0.23 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.'

Which means for our asset as example:- Compared with the benchmark SPY (6.16 ) in the period of the last 5 years, the Ulcer Ratio of 13 of ProShares UltraShort Euro is larger, thus worse.
- Looking at Ulcer Index in of 14 in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (6.87 ).

'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.'

Using this definition on our asset we see for example:- The maximum drop from peak to valley over 5 years of ProShares UltraShort Euro is -25.7 days, which is larger, thus better compared to the benchmark SPY (-33.7 days) in the same period.
- Compared with SPY (-33.7 days) in the period of the last 3 years, the maximum reduction from previous high of -25.7 days is higher, thus better.

'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.'

Using this definition on our asset we see for example:- Looking at the maximum days below previous high of 529 days in the last 5 years of ProShares UltraShort Euro, we see it is relatively larger, thus worse in comparison to the benchmark SPY (139 days)
- During the last 3 years, the maximum days under water is 529 days, which is greater, thus worse than the value of 119 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:- Looking at the average days below previous high of 169 days in the last 5 years of ProShares UltraShort Euro, we see it is relatively larger, thus worse in comparison to the benchmark SPY (35 days)
- During the last 3 years, the average days under water is 200 days, which is higher, thus worse than the value of 27 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 Euro 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.