'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.'

Which means for our asset as example:- Looking at the total return of 190.9% in the last 5 years of Direxion Daily S&P 500 Bull 3X Shares, we see it is relatively higher, thus better in comparison to the benchmark SPY (66.7%)
- Compared with SPY (46%) in the period of the last 3 years, the total return, or increase in value of 133.9% is greater, thus better.

'The compound annual growth rate isn't a true return rate, but rather a representational figure. It is essentially a number that describes the rate at which an investment would have grown if it had grown the same rate every year and the profits were reinvested at the end of each year. In reality, this sort of performance is unlikely. However, CAGR can be used to smooth returns so that they may be more easily understood when compared to alternative investments.'

Which means for our asset as example:- Compared with the benchmark SPY (10.8%) in the period of the last 5 years, the annual performance (CAGR) of 23.8% of Direxion Daily S&P 500 Bull 3X Shares is larger, thus better.
- Compared with SPY (13.5%) in the period of the last 3 years, the annual return (CAGR) of 32.8% is higher, thus better.

'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:- The 30 days standard deviation over 5 years of Direxion Daily S&P 500 Bull 3X Shares is 40%, which is larger, thus worse compared to the benchmark SPY (13.4%) in the same period.
- During the last 3 years, the 30 days standard deviation is 36.6%, which is larger, thus worse than the value of 12.3% from the benchmark.

'Downside risk is the financial risk associated with losses. That is, it is the risk of the actual return being below the expected return, or the uncertainty about the magnitude of that difference. 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.'

Using this definition on our asset we see for example:- The downside deviation over 5 years of Direxion Daily S&P 500 Bull 3X Shares is 43.7%, which is larger, thus worse compared to the benchmark SPY (14.6%) in the same period.
- Looking at downside volatility in of 41.3% in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (13.9%).

'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:- Looking at the risk / return profile (Sharpe) of 0.53 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 (0.62)
- Looking at Sharpe Ratio in of 0.83 in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (0.89).

'The Sortino ratio improves upon the Sharpe ratio by isolating downside volatility from total volatility by dividing excess return by the downside deviation. The Sortino ratio is a variation of the Sharpe ratio that differentiates harmful volatility from total overall volatility by using the asset's standard deviation of negative asset returns, called downside deviation. The Sortino ratio takes the asset's return and subtracts the risk-free rate, and then divides that amount by the asset's downside deviation. The ratio was named after Frank A. Sortino.'

Using this definition on our asset we see for example:- The ratio of annual return and downside deviation over 5 years of Direxion Daily S&P 500 Bull 3X Shares is 0.49, which is lower, thus worse compared to the benchmark SPY (0.57) in the same period.
- Compared with SPY (0.79) in the period of the last 3 years, the excess return divided by the downside deviation of 0.73 is lower, 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:- Looking at the Ulcer Ratio of 14 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 (3.99 )
- Compared with SPY (4.04 ) in the period of the last 3 years, the Downside risk index of 13 is greater, thus worse.

'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.'

Which means for our asset as example:- Compared with the benchmark SPY (-19.3 days) in the period of the last 5 years, the maximum DrawDown of -50.2 days of Direxion Daily S&P 500 Bull 3X Shares is lower, thus worse.
- Looking at maximum drop from peak to valley in of -50.2 days in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (-19.3 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) in days.'

Using this definition on our asset we see for example:- 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 greater, thus worse compared to the benchmark SPY (187 days) in the same period.
- During the last 3 years, the maximum days below previous high is 201 days, which is greater, thus worse than the value of 139 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.'

Which means for our asset as example:- Compared with the benchmark SPY (41 days) in the period of the last 5 years, the average days below previous high of 74 days of Direxion Daily S&P 500 Bull 3X Shares is higher, thus worse.
- 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 higher, thus worse.

Historical returns have been extended using synthetic data.
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- "Year" returns in the table above are not equal to 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.