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.'

• Compared with the benchmark SPY (94.1%) in the period of the last 5 years, the total return, or increase in value of 141.8% of ProShares Ultra QQQ is larger, thus better.
• Looking at total return in of 234.6% in the period of the last 3 years, we see it is relatively higher, thus better in comparison to SPY (80.9%).

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.'

• The annual return (CAGR) over 5 years of ProShares Ultra QQQ is 19.4%, which is larger, thus better compared to the benchmark SPY (14.2%) in the same period.
• Compared with SPY (21.9%) in the period of the last 3 years, the compounded annual growth rate (CAGR) of 49.8% is higher, thus better.

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.'

• Compared with the benchmark SPY (17%) in the period of the last 5 years, the volatility of 45.1% of ProShares Ultra QQQ is higher, thus worse.
• During the last 3 years, the 30 days standard deviation is 38.9%, which is higher, thus worse than the value of 15.1% from the benchmark.

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 deviation over 5 years of ProShares Ultra QQQ is 31.5%, which is higher, thus worse compared to the benchmark SPY (11.7%) in the same period.
• Compared with SPY (10.1%) in the period of the last 3 years, the downside risk of 26.3% is larger, thus worse.

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.'

• Looking at the risk / return profile (Sharpe) of 0.37 in the last 5 years of ProShares Ultra QQQ, we see it is relatively lower, thus worse in comparison to the benchmark SPY (0.69)
• During the last 3 years, the risk / return profile (Sharpe) is 1.21, which is lower, thus worse than the value of 1.29 from the benchmark.

Sortino:

'The Sortino ratio measures the risk-adjusted return of an investment asset, portfolio, or strategy. It is a modification of the Sharpe ratio but penalizes only those returns falling below a user-specified target or required rate of return, while the Sharpe ratio penalizes both upside and downside volatility equally. Though both ratios measure an investment's risk-adjusted return, they do so in significantly different ways that will frequently lead to differing conclusions as to the true nature of the investment's return-generating efficiency. The Sortino ratio is used as a way to compare the risk-adjusted performance of programs with differing risk and return profiles. In general, risk-adjusted returns seek to normalize the risk across programs and then see which has the higher return unit per risk.'

• Looking at the downside risk / excess return profile of 0.54 in the last 5 years of ProShares Ultra QQQ, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (1)
• Looking at downside risk / excess return profile in of 1.8 in the period of the last 3 years, we see it is relatively smaller, thus worse in comparison to SPY (1.93).

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 (8.42 ) in the period of the last 5 years, the Downside risk index of 28 of ProShares Ultra QQQ is larger, thus worse.
• During the last 3 years, the Ulcer Ratio is 10 , which is higher, thus worse than the value of 3.4 from the benchmark.

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.'

• Compared with the benchmark SPY (-24.5 days) in the period of the last 5 years, the maximum drop from peak to valley of -63.7 days of ProShares Ultra QQQ is lower, thus worse.
• Compared with SPY (-18.8 days) in the period of the last 3 years, the maximum reduction from previous high of -42.3 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 time in days below previous high water mark of 629 days of ProShares Ultra QQQ is greater, thus worse.
• Compared with SPY (87 days) in the period of the last 3 years, the maximum time in days below previous high water mark of 143 days is higher, thus worse.

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.'

• Compared with the benchmark SPY (119 days) in the period of the last 5 years, the average days below previous high of 187 days of ProShares Ultra QQQ is greater, thus worse.
• During the last 3 years, the average time in days below previous high water mark is 38 days, which is greater, thus worse than the value of 19 days from the benchmark.