ProShares Ultra Gold (UGL)

TotalReturn:

'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.'

• The total return, or increase in value over 5 years of ProShares Ultra Gold is 196.8%, which is larger, thus better compared to the benchmark SPY (72.2%) in the same period.
• Looking at total return, or performance in of 207.1% in the period of the last 3 years, we see it is relatively larger, thus better in comparison to SPY (79.9%).

CAGR:

'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.'

• Compared with the benchmark SPY (11.5%) in the period of the last 5 years, the annual performance (CAGR) of 24.4% of ProShares Ultra Gold is larger, thus better.
• During the last 3 years, the compounded annual growth rate (CAGR) is 45.7%, which is higher, thus better than the value of 21.8% from the benchmark.

Volatility:

'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.'

• Compared with the benchmark SPY (17.3%) in the period of the last 5 years, the 30 days standard deviation of 38.4% of ProShares Ultra Gold is larger, thus worse.
• Compared with SPY (15.5%) in the period of the last 3 years, the historical 30 days volatility of 43.7% is greater, thus worse.

DownVol:

'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.'

• The downside volatility over 5 years of ProShares Ultra Gold is 27.3%, which is greater, thus worse compared to the benchmark SPY (12%) in the same period.
• During the last 3 years, the downside risk is 31.4%, which is larger, thus worse than the value of 10.4% from the benchmark.

Sharpe:

'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.'

• Compared with the benchmark SPY (0.52) in the period of the last 5 years, the Sharpe Ratio of 0.57 of ProShares Ultra Gold is greater, thus better.
• Looking at ratio of return and volatility (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 (1.25).

Sortino:

'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.'

• Compared with the benchmark SPY (0.75) in the period of the last 5 years, the downside risk / excess return profile of 0.8 of ProShares Ultra Gold is greater, thus better.
• Compared with SPY (1.85) in the period of the last 3 years, the ratio of annual return and downside deviation of 1.37 is lower, thus worse.

Ulcer:

'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.'

• Looking at the Ulcer Ratio of 22 in the last 5 years of ProShares Ultra Gold, we see it is relatively higher, thus worse in comparison to the benchmark SPY (8.46 )
• During the last 3 years, the Ulcer Index is 20 , which is higher, thus worse than the value of 3.22 from the benchmark.

MaxDD:

'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.'

• The maximum reduction from previous high over 5 years of ProShares Ultra Gold is -53.9 days, which is lower, thus worse compared to the benchmark SPY (-24.5 days) in the same period.
• Compared with SPY (-18.8 days) in the period of the last 3 years, the maximum DrawDown of -53.9 days is lower, thus worse.

MaxDuration:

'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). Many assume Max DD Duration is the length of time between new highs during which the Max DD (magnitude) occurred. But that isn’t always the case. The Max DD duration is the longest time between peaks, period. So it could be the time when the program also had its biggest peak to valley loss (and usually is, because the program needs a long time to recover from the largest loss), but it doesn’t have to be'

• Compared with the benchmark SPY (488 days) in the period of the last 5 years, the maximum time in days below previous high water mark of 518 days of ProShares Ultra Gold is greater, thus worse.
• Looking at maximum days under water in of 196 days in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (87 days).

AveDuration:

'The Average 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. 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.'

• Looking at the average days under water of 142 days in the last 5 years of ProShares Ultra Gold, we see it is relatively larger, thus worse in comparison to the benchmark SPY (117 days)
• Compared with SPY (17 days) in the period of the last 3 years, the average time in days below previous high water mark of 45 days is greater, thus worse.