'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.'

Applying this definition to our asset in some examples:- Looking at the total return, or increase in value of -96.6% in the last 5 years of ProShares UltraShort Technology, we see it is relatively lower, thus worse in comparison to the benchmark SPY (115.8%)
- During the last 3 years, the total return, or performance is -87.3%, which is lower, thus worse than the value of 57% from the benchmark.

'The compound annual growth rate (CAGR) is a useful measure of growth over multiple time periods. It can be thought of as the growth rate that gets you from the initial investment value to the ending investment value if you assume that the investment has been compounding over the time period.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (16.7%) in the period of the last 5 years, the compounded annual growth rate (CAGR) of -49.1% of ProShares UltraShort Technology is lower, thus worse.
- Looking at compounded annual growth rate (CAGR) in of -49.8% in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (16.3%).

'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.'

Applying this definition to our asset in some examples:- The historical 30 days volatility over 5 years of ProShares UltraShort Technology is 45.8%, which is greater, thus worse compared to the benchmark SPY (18.8%) in the same period.
- During the last 3 years, the 30 days standard deviation is 53.3%, which is greater, thus worse than the value of 22.5% 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:- The downside risk over 5 years of ProShares UltraShort Technology is 32.6%, which is greater, thus worse compared to the benchmark SPY (13.7%) in the same period.
- Compared with SPY (16.4%) in the period of the last 3 years, the downside volatility of 37.8% is higher, thus worse.

'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.'

Using this definition on our asset we see for example:- The Sharpe Ratio over 5 years of ProShares UltraShort Technology is -1.13, which is lower, thus worse compared to the benchmark SPY (0.75) in the same period.
- Compared with SPY (0.61) in the period of the last 3 years, the ratio of return and volatility (Sharpe) of -0.98 is lower, thus worse.

'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 (1.04) in the period of the last 5 years, the ratio of annual return and downside deviation of -1.59 of ProShares UltraShort Technology is lower, thus worse.
- Looking at excess return divided by the downside deviation in of -1.38 in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (0.84).

'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.'

Which means for our asset as example:- The Ulcer Ratio over 5 years of ProShares UltraShort Technology is 74 , which is larger, thus worse compared to the benchmark SPY (5.58 ) in the same period.
- Compared with SPY (6.83 ) in the period of the last 3 years, the Ulcer Index of 62 is higher, thus worse.

'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.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (-33.7 days) in the period of the last 5 years, the maximum reduction from previous high of -97.2 days of ProShares UltraShort Technology is smaller, thus worse.
- During the last 3 years, the maximum drop from peak to valley is -92 days, which is smaller, thus worse than the value of -33.7 days from the benchmark.

'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 below previous high of 1227 days in the last 5 years of ProShares UltraShort Technology, we see it is relatively higher, thus worse in comparison to the benchmark SPY (139 days)
- Compared with SPY (139 days) in the period of the last 3 years, the maximum days under water of 599 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 (33 days) in the period of the last 5 years, the average days under water of 600 days of ProShares UltraShort Technology is larger, thus worse.
- Looking at average days below previous high in of 250 days in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (35 days).

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 Technology 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.