'Total return, when measuring performance, is the actual rate of return of an investment or a pool of investments over a given evaluation period. Total return includes interest, capital gains, dividends and distributions realized over a given period of time. Total return accounts for two categories of return: income including interest paid by fixed-income investments, distributions or dividends and capital appreciation, representing the change in the market price of an asset.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (77.6%) in the period of the last 5 years, the total return, or performance of -10.5% of ProShares UltraShort Yen New is lower, thus worse.
- Looking at total return, or increase in value in of 3.6% in the period of the last 3 years, we see it is relatively smaller, thus worse in comparison to SPY (53.5%).

'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:- Compared with the benchmark SPY (12.2%) in the period of the last 5 years, the annual return (CAGR) of -2.2% of ProShares UltraShort Yen New is smaller, thus worse.
- Compared with SPY (15.4%) in the period of the last 3 years, the annual performance (CAGR) of 1.2% is lower, 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.'

Which means for our asset as example:- Compared with the benchmark SPY (13.3%) in the period of the last 5 years, the 30 days standard deviation of 17% of ProShares UltraShort Yen New is greater, thus worse.
- Compared with SPY (13%) in the period of the last 3 years, the 30 days standard deviation of 13.3% is larger, thus worse.

'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:- Looking at the downside deviation of 12.8% in the last 5 years of ProShares UltraShort Yen New, we see it is relatively greater, thus worse in comparison to the benchmark SPY (9.6%)
- Looking at downside volatility in of 9.7% in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (9.4%).

'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.'

Which means for our asset as example:- Looking at the risk / return profile (Sharpe) of -0.28 in the last 5 years of ProShares UltraShort Yen New, we see it is relatively lower, thus worse in comparison to the benchmark SPY (0.73)
- During the last 3 years, the risk / return profile (Sharpe) is -0.1, which is lower, thus worse than the value of 0.99 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 (1.01) in the period of the last 5 years, the downside risk / excess return profile of -0.37 of ProShares UltraShort Yen New is lower, thus worse.
- Looking at downside risk / excess return profile in of -0.14 in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (1.37).

'The ulcer index is a stock market risk measure or technical analysis indicator devised by Peter Martin in 1987, and published by him and Byron McCann in their 1989 book The Investors Guide to Fidelity Funds. It's designed as a measure of volatility, but only volatility in the downward direction, i.e. the amount of drawdown or retracement occurring over a period. Other volatility measures like standard deviation treat up and down movement equally, but a trader doesn't mind upward movement, it's the downside that causes stress and stomach ulcers that the index's name suggests.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (3.97 ) in the period of the last 5 years, the Ulcer Ratio of 23 of ProShares UltraShort Yen New is greater, thus worse.
- Looking at Ulcer Ratio in of 6.22 in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (4.1 ).

'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.'

Using this definition on our asset we see for example:- Looking at the maximum drop from peak to valley of -39.3 days in the last 5 years of ProShares UltraShort Yen New, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (-19.3 days)
- During the last 3 years, the maximum DrawDown is -15.7 days, which is higher, thus better than the value of -19.3 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) in days.'

Which means for our asset as example:- Compared with the benchmark SPY (187 days) in the period of the last 5 years, the maximum days under water of 1181 days of ProShares UltraShort Yen New is higher, thus worse.
- During the last 3 years, the maximum days under water is 390 days, which is larger, thus worse than the value of 139 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.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (42 days) in the period of the last 5 years, the average time in days below previous high water mark of 563 days of ProShares UltraShort Yen New is greater, thus worse.
- Compared with SPY (37 days) in the period of the last 3 years, the average time in days below previous high water mark of 181 days is higher, thus worse.

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 Yen New 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.