'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:- The total return, or performance over 5 years of ProShares UltraShort Australian Dollar is 24%, which is smaller, thus worse compared to the benchmark SPY (66.2%) in the same period.
- During the last 3 years, the total return, or performance is 1.4%, which is lower, thus worse than the value of 45.7% from the benchmark.

'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 annual return (CAGR) of 4.4% in the last 5 years of ProShares UltraShort Australian Dollar, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (10.7%)
- Compared with SPY (13.4%) in the period of the last 3 years, the compounded annual growth rate (CAGR) of 0.5% is smaller, thus worse.

'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.'

Applying this definition to our asset in some examples:- Looking at the volatility of 19.4% in the last 5 years of ProShares UltraShort Australian Dollar, we see it is relatively higher, thus worse in comparison to the benchmark SPY (13.3%)
- During the last 3 years, the volatility is 17.7%, which is greater, thus worse than the value of 12.5% from the benchmark.

'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:- Compared with the benchmark SPY (14.6%) in the period of the last 5 years, the downside risk of 19.8% of ProShares UltraShort Australian Dollar is larger, thus worse.
- Compared with SPY (14.1%) in the period of the last 3 years, the downside volatility of 18.2% is larger, thus worse.

'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 Australian Dollar is 0.1, which is smaller, thus worse compared to the benchmark SPY (0.62) in the same period.
- Compared with SPY (0.87) in the period of the last 3 years, the Sharpe Ratio of -0.12 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.'

Which means for our asset as example:- Looking at the ratio of annual return and downside deviation of 0.1 in the last 5 years of ProShares UltraShort Australian Dollar, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (0.56)
- During the last 3 years, the downside risk / excess return profile is -0.11, which is smaller, thus worse than the value of 0.77 from the benchmark.

'Ulcer Index is a method for measuring investment risk that addresses the real concerns of investors, unlike the widely used standard deviation of return. UI is a measure of the depth and duration of drawdowns in prices from earlier highs. Using Ulcer Index instead of standard deviation can lead to very different conclusions about investment risk and risk-adjusted return, especially when evaluating strategies that seek to avoid major declines in portfolio value (market timing, dynamic asset allocation, hedge funds, etc.). The Ulcer Index was originally developed in 1987. Since then, it has been widely recognized and adopted by the investment community. According to Nelson Freeburg, editor of Formula Research, Ulcer Index is “perhaps the most fully realized statistical portrait of risk there is.'

Which means for our asset as example:- Looking at the Downside risk index of 20 in the last 5 years of ProShares UltraShort Australian Dollar, we see it is relatively higher, thus better in comparison to the benchmark SPY (3.96 )
- During the last 3 years, the Ulcer Index is 15 , which is larger, thus better than the value of 4.01 from the benchmark.

'A maximum drawdown is the maximum loss from a peak to a trough of a portfolio, before a new peak is attained. Maximum Drawdown is an indicator of downside risk over a specified time period. It can be used both as a stand-alone measure or as an input into other metrics such as 'Return over Maximum Drawdown' and the Calmar Ratio. Maximum Drawdown is expressed in percentage terms.'

Which means for our asset as example:- Looking at the maximum drop from peak to valley of -36.5 days in the last 5 years of ProShares UltraShort Australian Dollar, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (-19.3 days)
- Compared with SPY (-19.3 days) in the period of the last 3 years, the maximum reduction from previous high of -27.3 days is lower, thus worse.

'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:- Compared with the benchmark SPY (187 days) in the period of the last 5 years, the maximum days under water of 892 days of ProShares UltraShort Australian Dollar is greater, thus worse.
- Looking at maximum days below previous high in of 712 days in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (131 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:- Compared with the benchmark SPY (39 days) in the period of the last 5 years, the average days under water of 338 days of ProShares UltraShort Australian Dollar is higher, thus worse.
- Compared with SPY (34 days) in the period of the last 3 years, the average days under water of 341 days is larger, thus worse.

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 Australian Dollar 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.