'Total return, when measuring performance, is the actual rate of return of an investment or a pool of investments over a given evaluation period. Total return includes interest, capital gains, dividends and distributions realized over a given period of time. Total return accounts for two categories of return: income including interest paid by fixed-income investments, distributions or dividends and capital appreciation, representing the change in the market price of an asset.'

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 Shares is 245.8%, which is greater, thus better compared to the benchmark SPY (77.6%) in the same period.
- During the last 3 years, the total return, or performance is 164.2%, which is larger, thus better than the value of 53.5% from the benchmark.

'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.'

Applying this definition to our asset in some examples:- Looking at the annual return (CAGR) of 28.2% 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 (12.2%)
- Compared with SPY (15.4%) in the period of the last 3 years, the annual performance (CAGR) of 38.2% is larger, thus better.

'Volatility is a rate at which the price of a security increases or decreases for a given set of returns. Volatility is measured by calculating the standard deviation of the annualized returns over a given period of time. It shows the range to which the price of a security may increase or decrease. Volatility measures the risk of a security. It is used in option pricing formula to gauge the fluctuations in the returns of the underlying assets. Volatility indicates the pricing behavior of the security and helps estimate the fluctuations that may happen in a short period of time.'

Which means for our asset as example:- Compared with the benchmark SPY (13.3%) in the period of the last 5 years, the historical 30 days volatility of 39.7% of Direxion Daily S&P 500 Bull 3X Shares is larger, thus worse.
- During the last 3 years, the volatility is 38.6%, which is larger, thus worse than the value of 13% from the benchmark.

'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:- Compared with the benchmark SPY (9.6%) in the period of the last 5 years, the downside volatility of 28.7% of Direxion Daily S&P 500 Bull 3X Shares is higher, thus worse.
- During the last 3 years, the downside risk is 28.2%, which is greater, thus worse than the value of 9.4% from the benchmark.

'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 0.65 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 (0.73)
- Looking at risk / return profile (Sharpe) in of 0.93 in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (0.99).

'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.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (1.01) in the period of the last 5 years, the ratio of annual return and downside deviation of 0.9 of Direxion Daily S&P 500 Bull 3X Shares is smaller, thus worse.
- Looking at excess return divided by the downside deviation in of 1.27 in the period of the last 3 years, we see it is relatively smaller, thus worse in comparison to SPY (1.37).

'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 (3.97 ) in the period of the last 5 years, the Ulcer Ratio of 14 of Direxion Daily S&P 500 Bull 3X Shares is larger, thus worse.
- Looking at Downside risk index in of 14 in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (4.1 ).

'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.'

Using this definition on our asset we see for example:- Looking at the maximum drop from peak to valley of -50.2 days 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 (-19.3 days)
- During the last 3 years, the maximum DrawDown is -50.2 days, which is lower, thus worse than the value of -19.3 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.'

Using this definition on our asset we see for example:- Looking at the maximum time in days below previous high water mark of 292 days in the last 5 years of Direxion Daily S&P 500 Bull 3X Shares, we see it is relatively larger, thus worse in comparison to the benchmark SPY (187 days)
- During the last 3 years, the maximum time in days below previous high water mark is 201 days, which is higher, thus worse than the value of 139 days from the benchmark.

'The Drawdown Duration is the length of any peak to peak period, or the time between new equity highs. 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.'

Using this definition on our asset we see for example:- Looking at the average days under water of 76 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)
- During the last 3 years, the average days below previous high is 59 days, which is greater, thus worse than the value of 37 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 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.