ProShares Ultra QQQ (QLD)

TotalReturn:

'Total return is the amount of value an investor earns from a security over a specific period, typically one year, when all distributions are reinvested. Total return is expressed as a percentage of the amount invested. For example, a total return of 20% means the security increased by 20% of its original value due to a price increase, distribution of dividends (if a stock), coupons (if a bond) or capital gains (if a fund). Total return is a strong measure of an investment’s overall performance.'

• Compared with the benchmark SPY (101.1%) in the period of the last 5 years, the total return, or increase in value of 179% of ProShares Ultra QQQ is larger, thus better.
• Looking at total return, or increase in value in of 276.7% in the period of the last 3 years, we see it is relatively higher, thus better in comparison to SPY (82.2%).

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.'

• Compared with the benchmark SPY (15.1%) in the period of the last 5 years, the compounded annual growth rate (CAGR) of 22.9% of ProShares Ultra QQQ is higher, thus better.
• During the last 3 years, the compounded annual growth rate (CAGR) is 56%, which is larger, thus better than the value of 22.3% from the benchmark.

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.'

• Looking at the 30 days standard deviation of 45.2% in the last 5 years of ProShares Ultra QQQ, we see it is relatively larger, thus worse in comparison to the benchmark SPY (17.1%)
• During the last 3 years, the historical 30 days volatility is 40.2%, which is larger, thus worse than the value of 15.5% from the benchmark.

DownVol:

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

• The downside risk over 5 years of ProShares Ultra QQQ is 31.6%, which is greater, thus worse compared to the benchmark SPY (11.8%) in the same period.
• Looking at downside risk in of 27% in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (10.3%).

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 ratio of return and volatility (Sharpe) of 0.45 in the last 5 years of ProShares Ultra QQQ, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (0.73)
• During the last 3 years, the Sharpe Ratio is 1.33, which is larger, thus better than the value of 1.27 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 ratio of annual return and downside deviation of 0.65 in the last 5 years of ProShares Ultra QQQ, we see it is relatively lower, thus worse in comparison to the benchmark SPY (1.07)
• Compared with SPY (1.91) in the period of the last 3 years, the ratio of annual return and downside deviation of 1.98 is larger, thus better.

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.'

• Looking at the Ulcer Index of 28 in the last 5 years of ProShares Ultra QQQ, we see it is relatively larger, thus worse in comparison to the benchmark SPY (8.42 )
• During the last 3 years, the Downside risk index is 10 , which is higher, thus worse than the value of 3.57 from the benchmark.

MaxDD:

'Maximum drawdown measures the loss in any losing period during a fund’s investment record. It is defined as the percent retrenchment from a fund’s peak value to the fund’s valley value. The drawdown is in effect from the time the fund’s retrenchment begins until a new fund high is reached. The maximum drawdown encompasses both the period from the fund’s peak to the fund’s valley (length), and the time from the fund’s valley to a new fund high (recovery). It measures the largest percentage drawdown that has occurred in any fund’s data record.'

• Looking at the maximum DrawDown of -63.7 days in the last 5 years of ProShares Ultra QQQ, 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 drop from peak to valley 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.'

• Looking at the maximum days under water of 629 days in the last 5 years of ProShares Ultra QQQ, we see it is relatively higher, thus worse in comparison to the benchmark SPY (488 days)
• During the last 3 years, the maximum days under water is 143 days, which is greater, thus worse than the value of 87 days from the benchmark.

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.'

• Looking at the average time in days below previous high water mark of 187 days in the last 5 years of ProShares Ultra QQQ, we see it is relatively larger, thus worse in comparison to the benchmark SPY (120 days)
• Compared with SPY (21 days) in the period of the last 3 years, the average time in days below previous high water mark of 35 days is greater, thus worse.