'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:- Looking at the total return, or increase in value of -62.6% in the last 5 years of ProShares UltraShort Basic Materials, we see it is relatively lower, thus worse in comparison to the benchmark SPY (83.5%)
- During the last 3 years, the total return is -40.9%, which is lower, thus worse than the value of 54.3% 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:- Looking at the compounded annual growth rate (CAGR) of -18% in the last 5 years of ProShares UltraShort Basic Materials, we see it is relatively lower, thus worse in comparison to the benchmark SPY (12.9%)
- Compared with SPY (15.5%) in the period of the last 3 years, the annual return (CAGR) of -16.3% is lower, thus worse.

'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.'

Which means for our asset as example:- Compared with the benchmark SPY (13.3%) in the period of the last 5 years, the historical 30 days volatility of 34.8% of ProShares UltraShort Basic Materials is greater, thus worse.
- During the last 3 years, the volatility is 32.6%, which is larger, thus worse than the value of 12.8% from the benchmark.

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

Applying this definition to our asset in some examples:- Looking at the downside deviation of 33% in the last 5 years of ProShares UltraShort Basic Materials, we see it is relatively larger, thus worse in comparison to the benchmark SPY (14.8%)
- Looking at downside deviation in of 30.5% in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (14.8%).

'The Sharpe ratio was developed by Nobel laureate William F. Sharpe, and is used to help investors understand the return of an investment compared to its risk. The ratio is the average return earned in excess of the risk-free rate per unit of volatility or total risk. Subtracting the risk-free rate from the mean return allows an investor to better isolate the profits associated with risk-taking activities. One intuition of this calculation is that a portfolio engaging in 'zero risk' investments, such as the purchase of U.S. Treasury bills (for which the expected return is the risk-free rate), has a Sharpe ratio of exactly zero. Generally, the greater the value of the Sharpe ratio, the more attractive the risk-adjusted return.'

Applying this definition to our asset in some examples:- The risk / return profile (Sharpe) over 5 years of ProShares UltraShort Basic Materials is -0.59, which is lower, thus worse compared to the benchmark SPY (0.78) in the same period.
- Compared with SPY (1.02) in the period of the last 3 years, the risk / return profile (Sharpe) of -0.58 is lower, thus worse.

'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.'

Applying this definition to our asset in some examples:- The ratio of annual return and downside deviation over 5 years of ProShares UltraShort Basic Materials is -0.62, which is lower, thus worse compared to the benchmark SPY (0.7) in the same period.
- During the last 3 years, the downside risk / excess return profile is -0.62, which is smaller, thus worse than the value of 0.88 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.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (3.97 ) in the period of the last 5 years, the Ulcer Ratio of 57 of ProShares UltraShort Basic Materials is larger, thus worse.
- Compared with SPY (4.09 ) in the period of the last 3 years, the Downside risk index of 30 is larger, thus worse.

'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.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (-19.3 days) in the period of the last 5 years, the maximum drop from peak to valley of -74.8 days of ProShares UltraShort Basic Materials is smaller, thus worse.
- Compared with SPY (-19.3 days) in the period of the last 3 years, the maximum reduction from previous high of -43.2 days is smaller, thus worse.

'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:- Compared with the benchmark SPY (187 days) in the period of the last 5 years, the maximum time in days below previous high water mark of 993 days of ProShares UltraShort Basic Materials is greater, thus worse.
- Compared with SPY (139 days) in the period of the last 3 years, the maximum days below previous high of 744 days is greater, 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.'

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 days under water of 409 days of ProShares UltraShort Basic Materials is higher, thus worse.
- During the last 3 years, the average days below previous high is 373 days, which is greater, thus worse than the value of 37 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 Basic Materials 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.