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 140.3%, which is higher, thus better compared to the benchmark SPY (106.2%) in the same period.
• Compared with SPY (69.9%) in the period of the last 3 years, the total return, or performance of 148.9% is larger, thus better.

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.'

• The annual return (CAGR) over 5 years of ProShares Ultra Gold is 19.2%, which is higher, thus better compared to the benchmark SPY (15.6%) in the same period.
• Compared with SPY (19.5%) in the period of the last 3 years, the compounded annual growth rate (CAGR) of 35.8% is larger, thus better.

Volatility:

'In finance, volatility (symbol σ) is the degree of variation of a trading price series over time as measured by the standard deviation of logarithmic returns. Historic volatility measures a time series of past market prices. Implied volatility looks forward in time, being derived from the market price of a market-traded derivative (in particular, an option). Commonly, the higher the volatility, the riskier the security.'

• Compared with the benchmark SPY (17.6%) in the period of the last 5 years, the historical 30 days volatility of 31.2% of ProShares Ultra Gold is larger, thus worse.
• Compared with SPY (17.7%) in the period of the last 3 years, the 30 days standard deviation of 31.2% is greater, thus worse.

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.'

• The downside volatility over 5 years of ProShares Ultra Gold is 21.9%, which is larger, thus worse compared to the benchmark SPY (12.2%) in the same period.
• Looking at downside risk in of 20.6% in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (11.6%).

Sharpe:

'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.'

• Looking at the Sharpe Ratio of 0.54 in the last 5 years of ProShares Ultra Gold, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (0.74)
• Compared with SPY (0.96) in the period of the last 3 years, the Sharpe Ratio of 1.07 is greater, thus better.

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.'

• The excess return divided by the downside deviation over 5 years of ProShares Ultra Gold is 0.77, which is lower, thus worse compared to the benchmark SPY (1.08) in the same period.
• During the last 3 years, the excess return divided by the downside deviation is 1.62, which is higher, thus better than the value of 1.46 from the benchmark.

Ulcer:

'The ulcer index is a stock market risk measure or technical analysis indicator devised by Peter Martin in 1987, and published by him and Byron McCann in their 1989 book The Investors Guide to Fidelity Funds. It's designed as a measure of volatility, but only volatility in the downward direction, i.e. the amount of drawdown or retracement occurring over a period. Other volatility measures like standard deviation treat up and down movement equally, but a trader doesn't mind upward movement, it's the downside that causes stress and stomach ulcers that the index's name suggests.'

• Compared with the benchmark SPY (8.48 ) in the period of the last 5 years, the Ulcer Ratio of 25 of ProShares Ultra Gold is greater, thus worse.
• Compared with SPY (5.32 ) in the period of the last 3 years, the Ulcer Index of 9.92 is larger, 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.'

• Looking at the maximum reduction from previous high of -46.2 days in the last 5 years of ProShares Ultra Gold, we see it is relatively lower, thus worse in comparison to the benchmark SPY (-24.5 days)
• Compared with SPY (-18.8 days) in the period of the last 3 years, the maximum reduction from previous high of -24.4 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.'

• Compared with the benchmark SPY (488 days) in the period of the last 5 years, the maximum days below previous high of 950 days of ProShares Ultra Gold is greater, thus worse.
• Looking at maximum days below previous high in of 209 days in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (199 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.'

• Compared with the benchmark SPY (120 days) in the period of the last 5 years, the average days below previous high of 380 days of ProShares Ultra Gold is greater, thus worse.
• Looking at average time in days below previous high water mark in of 54 days in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (46 days).