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, 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 (106.8%) in the period of the last 5 years, the total return, or increase in value of 237.3% of US Market Strategy 2x Leverage is larger, thus better.
- Compared with SPY (71.9%) in the period of the last 3 years, the total return, or performance of 123.9% is greater, 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.'

Which means for our asset as example:- Compared with the benchmark SPY (15.7%) in the period of the last 5 years, the compounded annual growth rate (CAGR) of 27.6% of US Market Strategy 2x Leverage is larger, thus better.
- During the last 3 years, the annual return (CAGR) is 30.8%, which is greater, thus better than the value of 19.8% from the benchmark.

'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 20.4% 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 (18.9%)
- During the last 3 years, the 30 days standard deviation is 23.5%, which is larger, thus worse than the value of 21.9% from the benchmark.

'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:- The downside deviation over 5 years of US Market Strategy 2x Leverage is 14.5%, which is higher, thus worse compared to the benchmark SPY (13.8%) in the same period.
- Looking at downside risk in of 16.7% in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (15.9%).

'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.'

Using this definition on our asset we see for example:- The Sharpe Ratio over 5 years of US Market Strategy 2x Leverage is 1.23, which is higher, thus better compared to the benchmark SPY (0.69) in the same period.
- Compared with SPY (0.79) in the period of the last 3 years, the Sharpe Ratio of 1.2 is larger, thus better.

'The Sortino ratio measures the risk-adjusted return of an investment asset, portfolio, or strategy. It is a modification of the Sharpe ratio but penalizes only those returns falling below a user-specified target or required rate of return, while the Sharpe ratio penalizes both upside and downside volatility equally. Though both ratios measure an investment's risk-adjusted return, they do so in significantly different ways that will frequently lead to differing conclusions as to the true nature of the investment's return-generating efficiency. The Sortino ratio is used as a way to compare the risk-adjusted performance of programs with differing risk and return profiles. In general, risk-adjusted returns seek to normalize the risk across programs and then see which has the higher return unit per risk.'

Using this definition on our asset we see for example:- Looking at the downside risk / excess return profile of 1.73 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 (0.95)
- Compared with SPY (1.09) in the period of the last 3 years, the downside risk / excess return profile of 1.69 is greater, thus better.

'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.'

Which means for our asset as example:- The Ulcer Ratio over 5 years of US Market Strategy 2x Leverage is 6.87 , which is higher, thus worse compared to the benchmark SPY (5.61 ) in the same period.
- During the last 3 years, the Ulcer Ratio is 7.8 , which is higher, thus worse than the value of 6.08 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.'

Which means for our asset as example:- The maximum reduction from previous high over 5 years of US Market Strategy 2x Leverage is -25.8 days, which is larger, thus better compared to the benchmark SPY (-33.7 days) in the same period.
- Looking at maximum drop from peak to valley in of -25.8 days in the period of the last 3 years, we see it is relatively larger, thus better in comparison to SPY (-33.7 days).

'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 US Market Strategy 2x Leverage is 295 days, which is greater, thus worse compared to the benchmark SPY (139 days) in the same period.
- Looking at maximum days under water in of 295 days in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (119 days).

'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 US Market Strategy 2x Leverage is 80 days, which is higher, thus worse compared to the benchmark SPY (32 days) in the same period.
- Looking at average time in days below previous high water mark in of 75 days in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (22 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 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.