ProShares Ultra QQQ (QLD)

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, or performance over 5 years of ProShares Ultra QQQ is 257.1%, which is larger, thus better compared to the benchmark SPY (94.2%) in the same period.
• Looking at total return in of 18.2% in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (27.9%).

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 compounded annual growth rate (CAGR) over 5 years of ProShares Ultra QQQ is 29%, which is greater, thus better compared to the benchmark SPY (14.2%) in the same period.
• Compared with SPY (8.6%) in the period of the last 3 years, the compounded annual growth rate (CAGR) of 5.7% is lower, thus worse.

Volatility:

'Volatility is a rate at which the price of a security increases or decreases for a given set of returns. Volatility is measured by calculating the standard deviation of the annualized returns over a given period of time. It shows the range to which the price of a security may increase or decrease. Volatility measures the risk of a security. It is used in option pricing formula to gauge the fluctuations in the returns of the underlying assets. Volatility indicates the pricing behavior of the security and helps estimate the fluctuations that may happen in a short period of time.'

• The historical 30 days volatility over 5 years of ProShares Ultra QQQ is 50.9%, which is greater, thus worse compared to the benchmark SPY (20.9%) in the same period.
• Looking at historical 30 days volatility in of 46.6% in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (17.3%).

DownVol:

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

• The downside deviation over 5 years of ProShares Ultra QQQ is 36.2%, which is higher, thus worse compared to the benchmark SPY (15%) in the same period.
• During the last 3 years, the downside risk is 33%, which is greater, thus worse than the value of 12.1% from the benchmark.

Sharpe:

'The Sharpe ratio was developed by Nobel laureate William F. Sharpe, and is used to help investors understand the return of an investment compared to its risk. The ratio is the average return earned in excess of the risk-free rate per unit of volatility or total risk. Subtracting the risk-free rate from the mean return allows an investor to better isolate the profits associated with risk-taking activities. One intuition of this calculation is that a portfolio engaging in 'zero risk' investments, such as the purchase of U.S. Treasury bills (for which the expected return is the risk-free rate), has a Sharpe ratio of exactly zero. Generally, the greater the value of the Sharpe ratio, the more attractive the risk-adjusted return.'

• Compared with the benchmark SPY (0.56) in the period of the last 5 years, the ratio of return and volatility (Sharpe) of 0.52 of ProShares Ultra QQQ is lower, thus worse.
• During the last 3 years, the Sharpe Ratio is 0.07, which is smaller, thus worse than the value of 0.35 from the benchmark.

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 (0.78) in the period of the last 5 years, the ratio of annual return and downside deviation of 0.73 of ProShares Ultra QQQ is lower, thus worse.
• During the last 3 years, the downside risk / excess return profile is 0.1, which is lower, thus worse than the value of 0.5 from the benchmark.

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 (9.32 ) in the period of the last 5 years, the Ulcer Index of 29 of ProShares Ultra QQQ is larger, thus worse.
• During the last 3 years, the Downside risk index is 35 , which is greater, thus worse than the value of 10 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.'

• Compared with the benchmark SPY (-33.7 days) in the period of the last 5 years, the maximum reduction from previous high of -63.7 days of ProShares Ultra QQQ is smaller, thus worse.
• During the last 3 years, the maximum drop from peak to valley is -63.7 days, which is lower, thus worse than the value of -24.5 days from the benchmark.

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 days under water over 5 years of ProShares Ultra QQQ is 629 days, which is greater, thus worse compared to the benchmark SPY (488 days) in the same period.
• Looking at maximum days below previous high in of 629 days in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (488 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 (123 days) in the period of the last 5 years, the average days under water of 186 days of ProShares Ultra QQQ is greater, thus worse.
• Looking at average days under water in of 276 days in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (180 days).