'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.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (91.7%) in the period of the last 5 years, the total return of 105.1% of Direxion Daily 20-Yr Treasury Bull 3x is greater, thus better.
- Compared with SPY (47.9%) in the period of the last 3 years, the total return of 75.5% is larger, 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 (13.9%) in the period of the last 5 years, the annual return (CAGR) of 15.5% of Direxion Daily 20-Yr Treasury Bull 3x is greater, thus better.
- Compared with SPY (13.9%) in the period of the last 3 years, the annual performance (CAGR) of 20.6% is higher, 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.'

Applying this definition to our asset in some examples:- The 30 days standard deviation over 5 years of Direxion Daily 20-Yr Treasury Bull 3x is 40.9%, which is greater, thus worse compared to the benchmark SPY (19%) in the same period.
- Looking at historical 30 days volatility in of 44.7% in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (22.8%).

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

Which means for our asset as example:- Looking at the downside volatility of 28.3% in the last 5 years of Direxion Daily 20-Yr Treasury Bull 3x, we see it is relatively higher, thus worse in comparison to the benchmark SPY (13.8%)
- Looking at downside risk in of 30.5% in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (16.7%).

'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:- Looking at the ratio of return and volatility (Sharpe) of 0.32 in the last 5 years of Direxion Daily 20-Yr Treasury Bull 3x, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (0.6)
- During the last 3 years, the Sharpe Ratio is 0.4, which is lower, thus worse than the value of 0.5 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:- The excess return divided by the downside deviation over 5 years of Direxion Daily 20-Yr Treasury Bull 3x is 0.46, which is smaller, thus worse compared to the benchmark SPY (0.82) in the same period.
- Compared with SPY (0.68) in the period of the last 3 years, the downside risk / excess return profile of 0.59 is lower, thus worse.

'The ulcer index is a stock market risk measure or technical analysis indicator devised by Peter Martin in 1987, and published by him and Byron McCann in their 1989 book The Investors Guide to Fidelity Funds. It's designed as a measure of volatility, but only volatility in the downward direction, i.e. the amount of drawdown or retracement occurring over a period. Other volatility measures like standard deviation treat up and down movement equally, but a trader doesn't mind upward movement, it's the downside that causes stress and stomach ulcers that the index's name suggests.'

Using this definition on our asset we see for example:- The Ulcer Ratio over 5 years of Direxion Daily 20-Yr Treasury Bull 3x is 30 , which is higher, thus worse compared to the benchmark SPY (5.82 ) in the same period.
- Looking at Ulcer Ratio in of 18 in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (7.14 ).

'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:- Compared with the benchmark SPY (-33.7 days) in the period of the last 5 years, the maximum DrawDown of -51.1 days of Direxion Daily 20-Yr Treasury Bull 3x is lower, thus worse.
- During the last 3 years, the maximum reduction from previous high is -43.8 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'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (139 days) in the period of the last 5 years, the maximum days below previous high of 777 days of Direxion Daily 20-Yr Treasury Bull 3x is greater, thus worse.
- Compared with SPY (139 days) in the period of the last 3 years, the maximum days below previous high of 360 days is higher, thus worse.

'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 (36 days) in the period of the last 5 years, the average days below previous high of 270 days of Direxion Daily 20-Yr Treasury Bull 3x is larger, thus worse.
- Compared with SPY (45 days) in the period of the last 3 years, the average days under water of 124 days is higher, thus worse.

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.