ProShares Ultra Gold (UGL)

TotalReturn:

'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.'

• The total return over 5 years of ProShares Ultra Gold is 50.9%, which is lower, thus worse compared to the benchmark SPY (75.6%) in the same period.
• During the last 3 years, the total return, or increase in value is 31.8%, which is lower, thus worse than the value of 40% from the benchmark.

CAGR:

'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.'

• Looking at the annual performance (CAGR) of 8.6% in the last 5 years of ProShares Ultra Gold, we see it is relatively lower, thus worse in comparison to the benchmark SPY (11.9%)
• During the last 3 years, the annual performance (CAGR) is 9.7%, which is lower, thus worse than the value of 11.9% 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.'

• Looking at the historical 30 days volatility of 28.6% in the last 5 years of ProShares Ultra Gold, we see it is relatively higher, thus worse in comparison to the benchmark SPY (20.3%)
• During the last 3 years, the historical 30 days volatility is 33.1%, which is higher, thus worse than the value of 23.6% from the benchmark.

DownVol:

'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.'

• Compared with the benchmark SPY (14.9%) in the period of the last 5 years, the downside deviation of 20.4% of ProShares Ultra Gold is larger, thus worse.
• During the last 3 years, the downside deviation is 23.9%, which is greater, thus worse than the value of 17.3% 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.'

• Looking at the Sharpe Ratio of 0.21 in the last 5 years of ProShares Ultra Gold, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (0.46)
• Looking at risk / return profile (Sharpe) in of 0.22 in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (0.4).

Sortino:

'The Sortino ratio, a variation of the Sharpe ratio only factors in the downside, or negative volatility, rather than the total volatility used in calculating the Sharpe ratio. The theory behind the Sortino variation is that upside volatility is a plus for the investment, and it, therefore, should not be included in the risk calculation. Therefore, the Sortino ratio takes upside volatility out of the equation and uses only the downside standard deviation in its calculation instead of the total standard deviation that is used in calculating the Sharpe ratio.'

• The excess return divided by the downside deviation over 5 years of ProShares Ultra Gold is 0.3, which is smaller, thus worse compared to the benchmark SPY (0.63) in the same period.
• Looking at ratio of annual return and downside deviation in of 0.3 in the period of the last 3 years, we see it is relatively smaller, thus worse in comparison to SPY (0.54).

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.'

• The Ulcer Index over 5 years of ProShares Ultra Gold is 19 , which is greater, thus worse compared to the benchmark SPY (6.62 ) in the same period.
• Looking at Ulcer Index in of 21 in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (7.55 ).

MaxDD:

'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.'

• Looking at the maximum DrawDown of -37.3 days in the last 5 years of ProShares Ultra Gold, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (-33.7 days)
• Compared with SPY (-33.7 days) in the period of the last 3 years, the maximum drop from peak to valley of -37.3 days is smaller, thus worse.

MaxDuration:

'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.'

• The maximum time in days below previous high water mark over 5 years of ProShares Ultra Gold is 475 days, which is greater, thus worse compared to the benchmark SPY (139 days) in the same period.
• Looking at maximum days below previous high in of 475 days in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (120 days).

AveDuration:

'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.'

• The average days below previous high over 5 years of ProShares Ultra Gold is 184 days, which is greater, thus worse compared to the benchmark SPY (37 days) in the same period.
• During the last 3 years, the average time in days below previous high water mark is 169 days, which is larger, thus worse than the value of 31 days from the benchmark.