'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.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (66.1%) in the period of the last 5 years, the total return of 63.1% of Direxion Daily 20-Yr Treasury Bull 3x Shrs is smaller, thus worse.
- Compared with SPY (46.2%) in the period of the last 3 years, the total return, or performance of -10.9% is lower, thus worse.

'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.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (10.7%) in the period of the last 5 years, the compounded annual growth rate (CAGR) of 10.3% of Direxion Daily 20-Yr Treasury Bull 3x Shrs is smaller, thus worse.
- Compared with SPY (13.5%) in the period of the last 3 years, the compounded annual growth rate (CAGR) of -3.8% is lower, thus worse.

'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.'

Using this definition on our asset we see for example:- Looking at the volatility of 34.9% in the last 5 years of Direxion Daily 20-Yr Treasury Bull 3x Shrs, we see it is relatively higher, thus worse in comparison to the benchmark SPY (13.4%)
- During the last 3 years, the historical 30 days volatility is 29.7%, 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.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (14.6%) in the period of the last 5 years, the downside deviation of 37.6% of Direxion Daily 20-Yr Treasury Bull 3x Shrs is larger, thus worse.
- During the last 3 years, the downside volatility is 32%, which is higher, thus worse than the value of 13.9% from the benchmark.

'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:- The ratio of return and volatility (Sharpe) over 5 years of Direxion Daily 20-Yr Treasury Bull 3x Shrs is 0.22, which is lower, thus worse compared to the benchmark SPY (0.61) in the same period.
- During the last 3 years, the Sharpe Ratio is -0.21, which is smaller, thus worse than the value of 0.9 from the benchmark.

'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:- Compared with the benchmark SPY (0.56) in the period of the last 5 years, the downside risk / excess return profile of 0.21 of Direxion Daily 20-Yr Treasury Bull 3x Shrs is smaller, thus worse.
- During the last 3 years, the excess return divided by the downside deviation is -0.2, which is lower, thus worse than the value of 0.8 from the benchmark.

'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 Index of 31 in the last 5 years of Direxion Daily 20-Yr Treasury Bull 3x Shrs, we see it is relatively higher, thus worse in comparison to the benchmark SPY (3.99 )
- During the last 3 years, the Ulcer Ratio is 33 , which is higher, thus worse than the value of 4.04 from the benchmark.

'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.'

Applying this definition to our asset in some examples:- The maximum DrawDown over 5 years of Direxion Daily 20-Yr Treasury Bull 3x Shrs is -51.1 days, which is lower, thus worse compared to the benchmark SPY (-19.3 days) in the same period.
- During the last 3 years, the maximum DrawDown is -48.8 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.'

Applying this definition to our asset in some examples:- Looking at the maximum days below previous high of 760 days in the last 5 years of Direxion Daily 20-Yr Treasury Bull 3x Shrs, we see it is relatively greater, thus worse in comparison to the benchmark SPY (187 days)
- Looking at maximum days under water in of 745 days in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (139 days).

'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 289 days of Direxion Daily 20-Yr Treasury Bull 3x Shrs is greater, thus worse.
- During the last 3 years, the average days below previous high is 370 days, which is greater, thus worse than the value of 36 days from the benchmark.

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 20-Yr Treasury Bull 3x Shrs 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.