'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.'

Which means for our asset as example:- Looking at the total return of 50.4% in the last 5 years of ProShares UltraShort Yen New, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (63%)
- During the last 3 years, the total return, or performance is 40.8%, which is greater, thus better than the value of 33.5% from the benchmark.

'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.'

Applying this definition to our asset in some examples:- The annual return (CAGR) over 5 years of ProShares UltraShort Yen New is 8.5%, which is lower, thus worse compared to the benchmark SPY (10.3%) in the same period.
- During the last 3 years, the annual performance (CAGR) is 12.1%, which is larger, thus better than the value of 10.1% from the benchmark.

'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 (21.6%) in the period of the last 5 years, the 30 days standard deviation of 17.1% of ProShares UltraShort Yen New is lower, thus better.
- During the last 3 years, the historical 30 days volatility is 19.7%, which is lower, thus better than the value of 25.1% 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.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (15.6%) in the period of the last 5 years, the downside deviation of 12.3% of ProShares UltraShort Yen New is lower, thus better.
- Looking at downside volatility in of 14.2% in the period of the last 3 years, we see it is relatively lower, thus better in comparison to SPY (18.1%).

'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.'

Which means for our asset as example:- Looking at the Sharpe Ratio of 0.35 in the last 5 years of ProShares UltraShort Yen New, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (0.36)
- Compared with SPY (0.3) in the period of the last 3 years, the risk / return profile (Sharpe) of 0.49 is larger, thus better.

'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:- Compared with the benchmark SPY (0.5) in the period of the last 5 years, the ratio of annual return and downside deviation of 0.49 of ProShares UltraShort Yen New is lower, thus worse.
- Compared with SPY (0.42) in the period of the last 3 years, the ratio of annual return and downside deviation of 0.67 is greater, thus better.

'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.'

Using this definition on our asset we see for example:- Looking at the Downside risk index of 8.17 in the last 5 years of ProShares UltraShort Yen New, we see it is relatively lower, thus better in comparison to the benchmark SPY (8.88 )
- Compared with SPY (11 ) in the period of the last 3 years, the Ulcer Index of 9.79 is smaller, thus better.

'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.'

Which means for our asset as example:- The maximum reduction from previous high over 5 years of ProShares UltraShort Yen New is -27.3 days, which is higher, thus better compared to the benchmark SPY (-33.7 days) in the same period.
- Looking at maximum DrawDown in of -27.3 days in the period of the last 3 years, we see it is relatively larger, thus better in comparison to SPY (-33.7 days).

'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.'

Which means for our asset as example:- Looking at the maximum days under water of 417 days in the last 5 years of ProShares UltraShort Yen New, we see it is relatively higher, thus worse in comparison to the benchmark SPY (273 days)
- Compared with SPY (273 days) in the period of the last 3 years, the maximum time in days below previous high water mark of 417 days is larger, thus worse.

'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 (57 days) in the period of the last 5 years, the average days under water of 131 days of ProShares UltraShort Yen New is higher, thus worse.
- During the last 3 years, the average days under water is 133 days, which is greater, thus worse than the value of 73 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 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.