'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.'

Using this definition on our asset we see for example:- Looking at the total return of 21.2% in the last 5 years of Direxion Daily S&P 500 Bull 3X Shares, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (36.4%)
- Looking at total return, or performance in of -14.7% in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (14.9%).

'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.'

Using this definition on our asset we see for example:- Looking at the annual return (CAGR) of 3.9% in the last 5 years of Direxion Daily S&P 500 Bull 3X Shares, we see it is relatively lower, thus worse in comparison to the benchmark SPY (6.4%)
- Compared with SPY (4.7%) in the period of the last 3 years, the annual performance (CAGR) of -5.2% is smaller, thus worse.

'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 30 days standard deviation of 53.4% in the last 5 years of Direxion Daily S&P 500 Bull 3X Shares, we see it is relatively greater, thus worse in comparison to the benchmark SPY (17.8%)
- During the last 3 years, the 30 days standard deviation is 60.3%, which is higher, thus worse than the value of 20% from the benchmark.

'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.'

Which means for our asset as example:- Looking at the downside volatility of 39.7% in the last 5 years of Direxion Daily S&P 500 Bull 3X Shares, we see it is relatively higher, thus worse in comparison to the benchmark SPY (13.2%)
- Compared with SPY (15.1%) in the period of the last 3 years, the downside deviation of 45.4% is greater, thus worse.

'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.'

Which means for our asset as example:- Compared with the benchmark SPY (0.22) in the period of the last 5 years, the ratio of return and volatility (Sharpe) of 0.03 of Direxion Daily S&P 500 Bull 3X Shares is smaller, thus worse.
- Looking at ratio of return and volatility (Sharpe) in of -0.13 in the period of the last 3 years, we see it is relatively smaller, thus worse in comparison to SPY (0.11).

'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.'

Which means for our asset as example:- The ratio of annual return and downside deviation over 5 years of Direxion Daily S&P 500 Bull 3X Shares is 0.04, which is lower, thus worse compared to the benchmark SPY (0.3) in the same period.
- Compared with SPY (0.15) in the period of the last 3 years, the downside risk / excess return profile of -0.17 is smaller, thus worse.

'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:- Looking at the Downside risk index of 15 in the last 5 years of Direxion Daily S&P 500 Bull 3X Shares, we see it is relatively higher, thus worse in comparison to the benchmark SPY (4.93 )
- During the last 3 years, the Ulcer Index is 17 , which is greater, thus worse than the value of 5.58 from the benchmark.

'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:- The maximum reduction from previous high over 5 years of Direxion Daily S&P 500 Bull 3X Shares is -76.9 days, which is smaller, thus worse compared to the benchmark SPY (-33.7 days) in the same period.
- Looking at maximum reduction from previous high in of -76.9 days in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (-33.7 days).

'The Drawdown Duration is the length of any peak to peak period, or the time between new equity highs. The Max Drawdown Duration is the worst (the maximum/longest) amount of time an investment has seen between peaks (equity highs). Many assume Max DD Duration is the length of time between new highs during which the Max DD (magnitude) occurred. But that isn’t always the case. The Max DD duration is the longest time between peaks, period. So it could be the time when the program also had its biggest peak to valley loss (and usually is, because the program needs a long time to recover from the largest loss), but it doesn’t have to be'

Applying this definition to our asset in some examples:- The maximum time in days below previous high water mark over 5 years of Direxion Daily S&P 500 Bull 3X Shares is 292 days, which is larger, thus worse compared to the benchmark SPY (187 days) in the same period.
- Compared with SPY (139 days) in the period of the last 3 years, the maximum time in days below previous high water mark of 201 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 days under water of 75 days in the last 5 years of Direxion Daily S&P 500 Bull 3X Shares, we see it is relatively higher, thus worse in comparison to the benchmark SPY (42 days)
- Compared with SPY (36 days) in the period of the last 3 years, the average time in days below previous high water mark of 58 days is larger, thus worse.

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 S&P 500 Bull 3X Shares are hypothetical, do not account for slippage, fees or taxes, and are based on backtesting, which has many inherent limitations, some of which are described in our Terms of Use.