'Total return is the amount of value an investor earns from a security over a specific period, typically one year, when all distributions are reinvested. Total return is expressed as a percentage of the amount invested. For example, a total return of 20% means the security increased by 20% of its original value due to a price increase, distribution of dividends (if a stock), coupons (if a bond) or capital gains (if a fund). Total return is a strong measure of an investment’s overall performance.'

Using this definition on our asset we see for example:- The total return, or performance over 5 years of Direxion Daily 20-Yr Treasury Bull 3x is 7.6%, which is lower, thus worse compared to the benchmark SPY (122.1%) in the same period.
- Compared with SPY (64.6%) in the period of the last 3 years, the total return of 70.7% is larger, thus better.

'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.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (17.3%) in the period of the last 5 years, the compounded annual growth rate (CAGR) of 1.5% of Direxion Daily 20-Yr Treasury Bull 3x is smaller, thus worse.
- During the last 3 years, the compounded annual growth rate (CAGR) is 19.5%, which is higher, thus better than the value of 18.1% from the benchmark.

'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.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (18.7%) in the period of the last 5 years, the 30 days standard deviation of 40.9% of Direxion Daily 20-Yr Treasury Bull 3x is higher, thus worse.
- Compared with SPY (22.5%) in the period of the last 3 years, the historical 30 days volatility of 46.3% is higher, thus worse.

'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.'

Which means for our asset as example:- The downside deviation over 5 years of Direxion Daily 20-Yr Treasury Bull 3x is 28.6%, which is larger, thus worse compared to the benchmark SPY (13.6%) in the same period.
- During the last 3 years, the downside risk is 31.4%, which is larger, thus worse than the value of 16.4% from the benchmark.

'The Sharpe ratio (also known as the Sharpe index, the Sharpe measure, and the reward-to-variability ratio) is a way to examine the performance of an investment by adjusting for its risk. The ratio measures the excess return (or risk premium) per unit of deviation in an investment asset or a trading strategy, typically referred to as risk, named after William F. Sharpe.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (0.79) in the period of the last 5 years, the ratio of return and volatility (Sharpe) of -0.02 of Direxion Daily 20-Yr Treasury Bull 3x is lower, thus worse.
- During the last 3 years, the risk / return profile (Sharpe) is 0.37, which is lower, thus worse than the value of 0.69 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.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (1.09) in the period of the last 5 years, the downside risk / excess return profile of -0.04 of Direxion Daily 20-Yr Treasury Bull 3x is lower, thus worse.
- Compared with SPY (0.95) in the period of the last 3 years, the ratio of annual return and downside deviation of 0.54 is smaller, thus worse.

'The Ulcer Index is a technical indicator that measures downside risk, in terms of both the depth and duration of price declines. The index increases in value as the price moves farther away from a recent high and falls as the price rises to new highs. The indicator is usually calculated over a 14-day period, with the Ulcer Index showing the percentage drawdown a trader can expect from the high over that period. The greater the value of the Ulcer Index, the longer it takes for a stock to get back to the former high.'

Applying this definition to our asset in some examples:- The Ulcer Index over 5 years of Direxion Daily 20-Yr Treasury Bull 3x is 32 , which is higher, thus worse compared to the benchmark SPY (5.58 ) in the same period.
- During the last 3 years, the Ulcer Ratio is 25 , which is higher, thus worse than the value of 6.83 from the benchmark.

'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:- The maximum reduction from previous high over 5 years of Direxion Daily 20-Yr Treasury Bull 3x is -56.9 days, which is smaller, thus worse compared to the benchmark SPY (-33.7 days) in the same period.
- During the last 3 years, the maximum reduction from previous high is -56.9 days, which is lower, thus worse than the value of -33.7 days from the benchmark.

'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'

Which means for our asset as example:- Looking at the maximum time in days below previous high water mark of 760 days in the last 5 years of Direxion Daily 20-Yr Treasury Bull 3x, we see it is relatively larger, thus worse in comparison to the benchmark SPY (139 days)
- Compared with SPY (139 days) in the period of the last 3 years, the maximum time in days below previous high water mark of 350 days is greater, thus worse.

'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.'

Applying this definition to our asset in some examples:- Looking at the average time in days below previous high water mark of 288 days in the last 5 years of Direxion Daily 20-Yr Treasury Bull 3x, we see it is relatively greater, thus worse in comparison to the benchmark SPY (33 days)
- Looking at average days below previous high in of 106 days in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (35 days).

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 20-Yr Treasury 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.