'Total return is the amount of value an investor earns from a security over a specific period, typically one year, when all distributions are reinvested. Total return is expressed as a percentage of the amount invested. For example, a total return of 20% means the security increased by 20% of its original value due to a price increase, distribution of dividends (if a stock), coupons (if a bond) or capital gains (if a fund). Total return is a strong measure of an investment’s overall performance.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (80%) in the period of the last 5 years, the total return, or performance of 21% of ProShares UltraShort Euro is lower, thus worse.
- Looking at total return in of 26.2% in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (31.8%).

'Compound annual growth rate (CAGR) is a business and investing specific term for the geometric progression ratio that provides a constant rate of return over the time period. CAGR is not an accounting term, but it is often used to describe some element of the business, for example revenue, units delivered, registered users, etc. CAGR dampens the effect of volatility of periodic returns that can render arithmetic means irrelevant. It is particularly useful to compare growth rates from various data sets of common domain such as revenue growth of companies in the same industry.'

Which means for our asset as example:- Looking at the compounded annual growth rate (CAGR) of 3.9% in the last 5 years of ProShares UltraShort Euro, we see it is relatively lower, thus worse in comparison to the benchmark SPY (12.5%)
- Looking at compounded annual growth rate (CAGR) in of 8.1% in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (9.7%).

'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 (21.3%) in the period of the last 5 years, the 30 days standard deviation of 15.2% of ProShares UltraShort Euro is smaller, thus better.
- Looking at 30 days standard deviation in of 16.3% in the period of the last 3 years, we see it is relatively smaller, thus better in comparison to SPY (17.6%).

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

Which means for our asset as example:- The downside volatility over 5 years of ProShares UltraShort Euro is 10.6%, which is lower, thus better compared to the benchmark SPY (15.3%) in the same period.
- Compared with SPY (12.3%) in the period of the last 3 years, the downside deviation of 11.4% is smaller, thus better.

'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:- The Sharpe Ratio over 5 years of ProShares UltraShort Euro is 0.09, which is lower, thus worse compared to the benchmark SPY (0.47) in the same period.
- During the last 3 years, the ratio of return and volatility (Sharpe) is 0.34, which is lower, thus worse than the value of 0.41 from the benchmark.

'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 (0.66) in the period of the last 5 years, the downside risk / excess return profile of 0.13 of ProShares UltraShort Euro is lower, thus worse.
- Looking at downside risk / excess return profile in of 0.49 in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (0.58).

'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.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (9.43 ) in the period of the last 5 years, the Ulcer Index of 14 of ProShares UltraShort Euro is greater, thus worse.
- Looking at Ulcer Ratio in of 11 in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (10 ).

'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:- Looking at the maximum reduction from previous high of -25.7 days in the last 5 years of ProShares UltraShort Euro, we see it is relatively larger, thus better in comparison to the benchmark SPY (-33.7 days)
- During the last 3 years, the maximum reduction from previous high is -24.4 days, which is higher, thus better than the value of -24.5 days from the benchmark.

'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 529 days in the last 5 years of ProShares UltraShort Euro, we see it is relatively greater, thus worse in comparison to the benchmark SPY (480 days)
- Looking at maximum days below previous high in of 296 days in the period of the last 3 years, we see it is relatively lower, thus better in comparison to SPY (480 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:- Looking at the average days below previous high of 159 days in the last 5 years of ProShares UltraShort Euro, we see it is relatively larger, thus worse in comparison to the benchmark SPY (119 days)
- During the last 3 years, the average days under water is 77 days, which is lower, thus better than the value of 174 days from the benchmark.

Historical returns have been extended using synthetic data.
[Show Details]

- 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.