'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.'

Using this definition on our asset we see for example:- Looking at the total return, or performance of -69.9% in the last 5 years of ProShares UltraShort Consumer Services, we see it is relatively lower, thus worse in comparison to the benchmark SPY (62.4%)
- Looking at total return, or increase in value in of -55.6% in the period of the last 3 years, we see it is relatively smaller, thus worse in comparison to SPY (39.3%).

'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.'

Using this definition on our asset we see for example:- The annual return (CAGR) over 5 years of ProShares UltraShort Consumer Services is -21.3%, which is lower, thus worse compared to the benchmark SPY (10.2%) in the same period.
- During the last 3 years, the annual return (CAGR) is -23.8%, which is smaller, thus worse than the value of 11.7% 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.'

Applying this definition to our asset in some examples:- The 30 days standard deviation over 5 years of ProShares UltraShort Consumer Services is 29%, which is greater, thus worse compared to the benchmark SPY (13.5%) in the same period.
- Compared with SPY (13.2%) in the period of the last 3 years, the 30 days standard deviation of 27% is larger, thus worse.

'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:- Compared with the benchmark SPY (9.8%) in the period of the last 5 years, the downside volatility of 20.7% of ProShares UltraShort Consumer Services is larger, thus worse.
- Compared with SPY (9.8%) in the period of the last 3 years, the downside risk of 19.4% is higher, thus worse.

'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:- Compared with the benchmark SPY (0.57) in the period of the last 5 years, the risk / return profile (Sharpe) of -0.82 of ProShares UltraShort Consumer Services is lower, thus worse.
- During the last 3 years, the risk / return profile (Sharpe) is -0.97, which is lower, thus worse than the value of 0.69 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:- Looking at the ratio of annual return and downside deviation of -1.15 in the last 5 years of ProShares UltraShort Consumer Services, we see it is relatively lower, thus worse in comparison to the benchmark SPY (0.78)
- Compared with SPY (0.94) in the period of the last 3 years, the ratio of annual return and downside deviation of -1.35 is lower, thus worse.

'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 Ulcer Ratio over 5 years of ProShares UltraShort Consumer Services is 50 , which is larger, thus worse compared to the benchmark SPY (3.98 ) in the same period.
- During the last 3 years, the Ulcer Ratio is 40 , which is greater, thus worse than the value of 4.12 from the benchmark.

'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:- The maximum reduction from previous high over 5 years of ProShares UltraShort Consumer Services is -77.9 days, which is lower, thus worse compared to the benchmark SPY (-19.3 days) in the same period.
- During the last 3 years, the maximum drop from peak to valley is -63 days, which is smaller, thus worse 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 time in days below previous high water mark of 1016 days of ProShares UltraShort Consumer Services is larger, thus worse.
- Looking at maximum time in days below previous high water mark in of 736 days in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (139 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.'

Which means for our asset as example:- Compared with the benchmark SPY (42 days) in the period of the last 5 years, the average days below previous high of 424 days of ProShares UltraShort Consumer Services is larger, thus worse.
- During the last 3 years, the average days below previous high is 363 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 Consumer Services 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.