This is an alternative, 2 times leveraged version of the US Market Strategy using:

- DDM ProShares Ultra Dow30
- QLD ProShares Ultra
- SSO ProShares Ultra S&P500

See more about the US Market Strategy.

'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 (78.4%) in the period of the last 5 years, the total return, or performance of 146.2% of US Market Strategy 2x Leverage is larger, thus better.
- Compared with SPY (44.1%) in the period of the last 3 years, the total return, or performance of 73.1% is larger, thus better.

'The compound annual growth rate (CAGR) is a useful measure of growth over multiple time periods. It can be thought of as the growth rate that gets you from the initial investment value to the ending investment value if you assume that the investment has been compounding over the time period.'

Using this definition on our asset we see for example:- The annual performance (CAGR) over 5 years of US Market Strategy 2x Leverage is 19.7%, which is greater, thus better compared to the benchmark SPY (12.3%) in the same period.
- Compared with SPY (12.9%) in the period of the last 3 years, the annual return (CAGR) of 20% is larger, thus better.

'Volatility is a statistical measure of the dispersion of returns for a given security or market index. Volatility can either be measured by using the standard deviation or variance between returns from that same security or market index. Commonly, the higher the volatility, the riskier the security. In the securities markets, volatility is often associated with big swings in either direction. For example, when the stock market rises and falls more than one percent over a sustained period of time, it is called a 'volatile' market.'

Which means for our asset as example:- The 30 days standard deviation over 5 years of US Market Strategy 2x Leverage is 21.2%, which is greater, thus worse compared to the benchmark SPY (19.9%) in the same period.
- During the last 3 years, the historical 30 days volatility is 24.4%, which is greater, thus worse than the value of 23.1% from the benchmark.

'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:- Looking at the downside volatility of 15.2% in the last 5 years of US Market Strategy 2x Leverage, we see it is relatively greater, thus worse in comparison to the benchmark SPY (14.6%)
- Compared with SPY (16.9%) in the period of the last 3 years, the downside volatility of 17.6% is greater, 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:- Compared with the benchmark SPY (0.49) in the period of the last 5 years, the ratio of return and volatility (Sharpe) of 0.81 of US Market Strategy 2x Leverage is higher, thus better.
- During the last 3 years, the Sharpe Ratio is 0.72, which is greater, thus better than the value of 0.45 from the benchmark.

'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:- Looking at the downside risk / excess return profile of 1.13 in the last 5 years of US Market Strategy 2x Leverage, we see it is relatively higher, thus better in comparison to the benchmark SPY (0.67)
- During the last 3 years, the downside risk / excess return profile is 0.99, which is higher, thus better than the value of 0.62 from the benchmark.

'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.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (6.16 ) in the period of the last 5 years, the Ulcer Ratio of 8 of US Market Strategy 2x Leverage is higher, thus worse.
- During the last 3 years, the Ulcer Index is 9.41 , which is greater, thus worse than the value of 6.87 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.'

Using this definition on our asset we see for example:- The maximum drop from peak to valley over 5 years of US Market Strategy 2x Leverage is -27.8 days, which is larger, thus better compared to the benchmark SPY (-33.7 days) in the same period.
- During the last 3 years, the maximum drop from peak to valley is -27.8 days, which is greater, thus better than the value of -33.7 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.'

Which means for our asset as example:- Compared with the benchmark SPY (139 days) in the period of the last 5 years, the maximum days under water of 295 days of US Market Strategy 2x Leverage is higher, thus worse.
- During the last 3 years, the maximum time in days below previous high water mark is 295 days, which is larger, thus worse than the value of 119 days from the benchmark.

'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:- The average days under water over 5 years of US Market Strategy 2x Leverage is 84 days, which is larger, thus worse compared to the benchmark SPY (35 days) in the same period.
- During the last 3 years, the average time in days below previous high water mark is 84 days, which is greater, thus worse than the value of 27 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 US Market Strategy 2x Leverage 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.