'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.'

Applying this definition to our asset in some examples:- The total return, or performance over 5 years of Direxion Daily S&P 500 Bull 3X is 71.6%, which is greater, thus better compared to the benchmark SPY (62.7%) in the same period.
- During the last 3 years, the total return is 25.3%, which is lower, thus worse than the value of 34.7% from the benchmark.

'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 performance (CAGR) of 11.4% in the last 5 years of Direxion Daily S&P 500 Bull 3X, we see it is relatively higher, thus better in comparison to the benchmark SPY (10.2%)
- During the last 3 years, the annual performance (CAGR) is 7.8%, which is lower, thus worse than the value of 10.5% from the benchmark.

'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.'

Which means for our asset as example:- Looking at the 30 days standard deviation of 62.8% in the last 5 years of Direxion Daily S&P 500 Bull 3X, we see it is relatively greater, thus worse in comparison to the benchmark SPY (20.9%)
- Looking at volatility in of 72.6% in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (24.1%).

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

Using this definition on our asset we see for example:- Looking at the downside deviation of 46% in the last 5 years of Direxion Daily S&P 500 Bull 3X, we see it is relatively larger, thus worse in comparison to the benchmark SPY (15.3%)
- Looking at downside deviation in of 53.1% in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (17.6%).

'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.'

Using this definition on our asset we see for example:- Looking at the Sharpe Ratio of 0.14 in the last 5 years of Direxion Daily S&P 500 Bull 3X, we see it is relatively lower, thus worse in comparison to the benchmark SPY (0.37)
- During the last 3 years, the risk / return profile (Sharpe) is 0.07, which is lower, thus worse than the value of 0.33 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 (0.51) in the period of the last 5 years, the excess return divided by the downside deviation of 0.19 of Direxion Daily S&P 500 Bull 3X is lower, thus worse.
- Compared with SPY (0.45) in the period of the last 3 years, the excess return divided by the downside deviation of 0.1 is smaller, thus worse.

'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.'

Which means for our asset as example:- Compared with the benchmark SPY (7.71 ) in the period of the last 5 years, the Ulcer Ratio of 25 of Direxion Daily S&P 500 Bull 3X is greater, thus worse.
- Looking at Ulcer Index in of 29 in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (9.08 ).

'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.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (-33.7 days) in the period of the last 5 years, the maximum drop from peak to valley of -76.9 days of Direxion Daily S&P 500 Bull 3X is smaller, thus worse.
- During the last 3 years, the maximum reduction from previous high is -76.9 days, which is lower, thus worse than the value of -33.7 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:- Looking at the maximum days under water of 224 days in the last 5 years of Direxion Daily S&P 500 Bull 3X, we see it is relatively higher, thus worse in comparison to the benchmark SPY (189 days)
- During the last 3 years, the maximum days under water is 224 days, which is greater, thus worse than the value of 189 days from the benchmark.

'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 73 days in the last 5 years of Direxion Daily S&P 500 Bull 3X, we see it is relatively larger, thus worse in comparison to the benchmark SPY (46 days)
- During the last 3 years, the average time in days below previous high water mark is 70 days, which is larger, thus worse than the value of 45 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 S&P 500 Bull 3X 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.