'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.'

Applying this definition to our asset in some examples:- The total return, or performance over 5 years of Direxion Daily Energy Bear 3X Shares is -94.2%, which is lower, thus worse compared to the benchmark SPY (103.3%) in the same period.
- Compared with SPY (37.7%) in the period of the last 3 years, the total return, or increase in value of -82.7% is lower, thus worse.

'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.'

Applying this definition to our asset in some examples:- The annual return (CAGR) over 5 years of Direxion Daily Energy Bear 3X Shares is -43.5%, which is lower, thus worse compared to the benchmark SPY (15.3%) in the same period.
- During the last 3 years, the annual return (CAGR) is -44.3%, which is lower, thus worse than the value of 11.3% from the benchmark.

'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.'

Applying this definition to our asset in some examples:- Looking at the historical 30 days volatility of 84.9% in the last 5 years of Direxion Daily Energy Bear 3X Shares, we see it is relatively greater, thus worse in comparison to the benchmark SPY (20.9%)
- Looking at 30 days standard deviation in of 55.5% in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (17.3%).

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

Applying this definition to our asset in some examples:- The downside deviation over 5 years of Direxion Daily Energy Bear 3X Shares is 57.2%, which is higher, thus worse compared to the benchmark SPY (14.9%) in the same period.
- Looking at downside risk in of 40% in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (12%).

'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.'

Which means for our asset as example:- Looking at the risk / return profile (Sharpe) of -0.54 in the last 5 years of Direxion Daily Energy Bear 3X Shares, we see it is relatively lower, thus worse in comparison to the benchmark SPY (0.61)
- During the last 3 years, the Sharpe Ratio is -0.84, which is smaller, thus worse than the value of 0.51 from the benchmark.

'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.'

Which means for our asset as example:- Compared with the benchmark SPY (0.85) in the period of the last 5 years, the downside risk / excess return profile of -0.8 of Direxion Daily Energy Bear 3X Shares is smaller, thus worse.
- During the last 3 years, the excess return divided by the downside deviation is -1.17, which is lower, thus worse than the value of 0.73 from the benchmark.

'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.'

Which means for our asset as example:- The Ulcer Ratio over 5 years of Direxion Daily Energy Bear 3X Shares is 88 , which is larger, thus worse compared to the benchmark SPY (9.32 ) in the same period.
- Looking at Ulcer Ratio in of 74 in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (10 ).

'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.'

Which means for our asset as example:- Compared with the benchmark SPY (-33.7 days) in the period of the last 5 years, the maximum drop from peak to valley of -99.3 days of Direxion Daily Energy Bear 3X Shares is lower, thus worse.
- During the last 3 years, the maximum reduction from previous high is -88.6 days, which is lower, thus worse than the value of -24.5 days from the benchmark.

'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.'

Which means for our asset as example:- The maximum time in days below previous high water mark over 5 years of Direxion Daily Energy Bear 3X Shares is 1070 days, which is higher, thus worse compared to the benchmark SPY (488 days) in the same period.
- Compared with SPY (488 days) in the period of the last 3 years, the maximum time in days below previous high water mark of 711 days is higher, thus worse.

'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.'

Applying this definition to our asset in some examples:- Looking at the average time in days below previous high water mark of 469 days in the last 5 years of Direxion Daily Energy Bear 3X Shares, we see it is relatively greater, thus worse in comparison to the benchmark SPY (123 days)
- During the last 3 years, the average days under water is 338 days, which is higher, thus worse than the value of 181 days from the benchmark.

Historical returns have been extended using synthetic data.
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- Note that yearly returns do not equal the sum of monthly returns due to compounding.
- Performance results of Direxion Daily Energy Bear 3X Shares are hypothetical and do not account for slippage, fees or taxes.