'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.'

Which means for our asset as example:- The total return, or increase in value over 5 years of ProShares UltraShort Industrials is -72.6%, which is lower, thus worse compared to the benchmark SPY (68.7%) in the same period.
- Compared with SPY (47.9%) in the period of the last 3 years, the total return, or performance of -61.1% is lower, thus worse.

'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 -22.8% in the last 5 years of ProShares UltraShort Industrials, we see it is relatively lower, thus worse in comparison to the benchmark SPY (11%)
- Looking at compounded annual growth rate (CAGR) in of -27.1% in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (14%).

'Volatility is a statistical measure of the dispersion of returns for a given security or market index. Volatility can either be measured by using the standard deviation or variance between returns from that same security or market index. Commonly, the higher the volatility, the riskier the security. In the securities markets, volatility is often associated with big swings in either direction. For example, when the stock market rises and falls more than one percent over a sustained period of time, it is called a 'volatile' market.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (13.3%) in the period of the last 5 years, the historical 30 days volatility of 30.6% of ProShares UltraShort Industrials is higher, thus worse.
- Compared with SPY (12.5%) in the period of the last 3 years, the 30 days standard deviation of 30% is greater, thus worse.

'Downside risk is the financial risk associated with losses. That is, it is the risk of the actual return being below the expected return, or the uncertainty about the magnitude of that difference. 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.'

Which means for our asset as example:- Looking at the downside deviation of 31.4% in the last 5 years of ProShares UltraShort Industrials, we see it is relatively higher, thus worse in comparison to the benchmark SPY (14.6%)
- During the last 3 years, the downside risk is 30.2%, which is larger, thus worse than the value of 14.2% from the benchmark.

'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.'

Which means for our asset as example:- Compared with the benchmark SPY (0.64) in the period of the last 5 years, the risk / return profile (Sharpe) of -0.83 of ProShares UltraShort Industrials is smaller, thus worse.
- Looking at risk / return profile (Sharpe) in of -0.99 in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (0.91).

'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.'

Using this definition on our asset we see for example:- Looking at the excess return divided by the downside deviation of -0.8 in the last 5 years of ProShares UltraShort Industrials, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (0.58)
- Looking at excess return divided by the downside deviation in of -0.98 in the period of the last 3 years, we see it is relatively smaller, thus worse in comparison to SPY (0.81).

'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:- The Downside risk index over 5 years of ProShares UltraShort Industrials is 52 , which is higher, thus better compared to the benchmark SPY (3.96 ) in the same period.
- Looking at Ulcer Ratio in of 46 in the period of the last 3 years, we see it is relatively larger, thus better in comparison to SPY (4.01 ).

'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.'

Which means for our asset as example:- Compared with the benchmark SPY (-19.3 days) in the period of the last 5 years, the maximum DrawDown of -76.8 days of ProShares UltraShort Industrials is lower, thus worse.
- Compared with SPY (-19.3 days) in the period of the last 3 years, the maximum reduction from previous high of -64.6 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.'

Which means for our asset as example:- Looking at the maximum days below previous high of 1158 days in the last 5 years of ProShares UltraShort Industrials, we see it is relatively higher, thus worse in comparison to the benchmark SPY (187 days)
- During the last 3 years, the maximum days below previous high is 729 days, which is higher, 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.'

Using this definition on our asset we see for example:- The average days under water over 5 years of ProShares UltraShort Industrials is 538 days, which is higher, thus worse compared to the benchmark SPY (41 days) in the same period.
- During the last 3 years, the average days below previous high is 354 days, which is larger, thus worse than the value of 36 days from the benchmark.

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 Industrials 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.