'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.'

Which means for our asset as example:- Compared with the benchmark SPY (80.1%) in the period of the last 5 years, the total return, or performance of 113.7% of Direxion Daily S&P 500 Bull 3X is higher, thus better.
- Looking at total return, or performance in of 40.9% in the period of the last 3 years, we see it is relatively larger, thus better in comparison to SPY (30.8%).

'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 (12.5%) in the period of the last 5 years, the annual performance (CAGR) of 16.4% of Direxion Daily S&P 500 Bull 3X is higher, thus better.
- Compared with SPY (9.4%) in the period of the last 3 years, the annual return (CAGR) of 12.2% is greater, 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.'

Using this definition on our asset we see for example:- Looking at the volatility of 63.8% in the last 5 years of Direxion Daily S&P 500 Bull 3X, we see it is relatively greater, thus worse in comparison to the benchmark SPY (21.3%)
- Compared with SPY (17.6%) in the period of the last 3 years, the 30 days standard deviation of 52.4% is greater, thus worse.

'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:- Looking at the downside deviation of 45.9% in the last 5 years of Direxion Daily S&P 500 Bull 3X, we see it is relatively higher, thus worse in comparison to the benchmark SPY (15.3%)
- Compared with SPY (12.3%) in the period of the last 3 years, the downside deviation of 36.8% is larger, thus worse.

'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 Sharpe Ratio over 5 years of Direxion Daily S&P 500 Bull 3X is 0.22, which is smaller, thus worse compared to the benchmark SPY (0.47) in the same period.
- During the last 3 years, the Sharpe Ratio is 0.18, which is lower, thus worse than the value of 0.39 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 ratio of annual return and downside deviation over 5 years of Direxion Daily S&P 500 Bull 3X is 0.3, which is lower, thus worse compared to the benchmark SPY (0.66) in the same period.
- During the last 3 years, the downside risk / excess return profile is 0.26, which is lower, thus worse than the value of 0.56 from the benchmark.

'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.'

Which means for our asset as example:- Looking at the Ulcer Index of 33 in the last 5 years of Direxion Daily S&P 500 Bull 3X, we see it is relatively greater, thus worse in comparison to the benchmark SPY (9.43 )
- Compared with SPY (10 ) in the period of the last 3 years, the Downside risk index of 36 is greater, thus worse.

'Maximum drawdown is defined as the peak-to-trough decline of an investment during a specific period. It is usually quoted as a percentage of the peak value. The maximum drawdown can be calculated based on absolute returns, in order to identify strategies that suffer less during market downturns, such as low-volatility strategies. However, the maximum drawdown can also be calculated based on returns relative to a benchmark index, for identifying strategies that show steady outperformance over time.'

Which means for our asset as example:- Compared with the benchmark SPY (-33.7 days) in the period of the last 5 years, the maximum reduction from previous high of -76.9 days of Direxion Daily S&P 500 Bull 3X is lower, thus worse.
- During the last 3 years, the maximum reduction from previous high is -63.8 days, which is lower, thus worse than the value of -24.5 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:- The maximum time in days below previous high water mark over 5 years of Direxion Daily S&P 500 Bull 3X is 478 days, which is larger, thus worse compared to the benchmark SPY (478 days) in the same period.
- Compared with SPY (478 days) in the period of the last 3 years, the maximum time in days below previous high water mark of 478 days is higher, 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.'

Which means for our asset as example:- The average days below previous high over 5 years of Direxion Daily S&P 500 Bull 3X is 130 days, which is larger, thus worse compared to the benchmark SPY (118 days) in the same period.
- Compared with SPY (173 days) in the period of the last 3 years, the average days under water of 171 days is lower, thus better.

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 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.