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 performance over 5 years of ProShares Ultra Gold is 251.7%, which is larger, thus better compared to the benchmark SPY (91.1%) in the same period.
• During the last 3 years, the total return, or performance is 265.9%, which is larger, thus better than the value of 84% from the benchmark.

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.'

• Looking at the compounded annual growth rate (CAGR) of 28.7% in the last 5 years of ProShares Ultra Gold, we see it is relatively higher, thus better in comparison to the benchmark SPY (13.9%)
• Compared with SPY (22.7%) in the period of the last 3 years, the compounded annual growth rate (CAGR) of 54.5% is greater, thus better.

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 30 days standard deviation of 36.1% in the last 5 years of ProShares Ultra Gold, we see it is relatively greater, thus worse in comparison to the benchmark SPY (17%)
• During the last 3 years, the volatility is 39.9%, which is higher, thus worse than the value of 15.1% from the benchmark.

DownVol:

'The downside volatility is similar to the volatility, or standard deviation, but only takes losing/negative periods into account.'

• Looking at the downside risk of 25.6% in the last 5 years of ProShares Ultra Gold, we see it is relatively higher, thus worse in comparison to the benchmark SPY (11.7%)
• Compared with SPY (10.1%) in the period of the last 3 years, the downside deviation of 28.3% is higher, thus worse.

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.'

• The risk / return profile (Sharpe) over 5 years of ProShares Ultra Gold is 0.73, which is greater, thus better compared to the benchmark SPY (0.67) in the same period.
• Compared with SPY (1.33) in the period of the last 3 years, the Sharpe Ratio of 1.3 is lower, thus worse.

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.'

• Compared with the benchmark SPY (0.97) in the period of the last 5 years, the excess return divided by the downside deviation of 1.02 of ProShares Ultra Gold is larger, thus better.
• Looking at excess return divided by the downside deviation in of 1.84 in the period of the last 3 years, we see it is relatively smaller, thus worse in comparison to SPY (2).

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.'

• Compared with the benchmark SPY (8.45 ) in the period of the last 5 years, the Downside risk index of 17 of ProShares Ultra Gold is higher, thus worse.
• Compared with SPY (3.5 ) in the period of the last 3 years, the Ulcer Index of 10 is higher, thus worse.

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 drop from peak to valley over 5 years of ProShares Ultra Gold is -40.2 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 drop from peak to valley of -37.6 days is lower, 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.'

• Looking at the maximum time in days below previous high water mark of 518 days in the last 5 years of ProShares Ultra Gold, we see it is relatively greater, thus worse in comparison to the benchmark SPY (488 days)
• During the last 3 years, the maximum days under water is 131 days, which is greater, thus worse than the value of 87 days from the benchmark.

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.'

• Looking at the average time in days below previous high water mark of 141 days in the last 5 years of ProShares Ultra Gold, we see it is relatively greater, thus worse in comparison to the benchmark SPY (120 days)
• During the last 3 years, the average days under water is 33 days, which is higher, thus worse than the value of 20 days from the benchmark.