Description

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.

Statistics (YTD)

What do these metrics mean? [Read More] [Hide]

TotalReturn:

'The total return on a portfolio of investments takes into account not only the capital appreciation on the portfolio, but also the income received on the portfolio. The income typically consists of interest, dividends, and securities lending fees. This contrasts with the price return, which takes into account only the capital gain on an investment.'

Applying this definition to our asset in some examples:
  • The total return over 5 years of US Market Strategy 2x Leverage is 251.4%, which is higher, thus better compared to the benchmark SPY (100.7%) in the same period.
  • Compared with SPY (33.2%) in the period of the last 3 years, the total return of 50% is larger, thus better.

CAGR:

'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.'

Applying this definition to our asset in some examples:
  • Looking at the annual performance (CAGR) of 28.6% in the last 5 years of US Market Strategy 2x Leverage, we see it is relatively greater, thus better in comparison to the benchmark SPY (15%)
  • Looking at annual performance (CAGR) in of 14.5% in the period of the last 3 years, we see it is relatively greater, thus better in comparison to SPY (10%).

Volatility:

'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:
  • Compared with the benchmark SPY (20.9%) in the period of the last 5 years, the 30 days standard deviation of 20% of US Market Strategy 2x Leverage is lower, thus better.
  • Compared with SPY (17.3%) in the period of the last 3 years, the volatility of 17.7% is greater, thus worse.

DownVol:

'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.'

Using this definition on our asset we see for example:
  • Looking at the downside deviation of 13.9% in the last 5 years of US Market Strategy 2x Leverage, we see it is relatively lower, thus better in comparison to the benchmark SPY (15%)
  • Compared with SPY (12%) in the period of the last 3 years, the downside deviation of 12.3% is greater, thus worse.

Sharpe:

'The Sharpe ratio was developed by Nobel laureate William F. Sharpe, and is used to help investors understand the return of an investment compared to its risk. The ratio is the average return earned in excess of the risk-free rate per unit of volatility or total risk. Subtracting the risk-free rate from the mean return allows an investor to better isolate the profits associated with risk-taking activities. One intuition of this calculation is that a portfolio engaging in 'zero risk' investments, such as the purchase of U.S. Treasury bills (for which the expected return is the risk-free rate), has a Sharpe ratio of exactly zero. Generally, the greater the value of the Sharpe ratio, the more attractive the risk-adjusted return.'

Using this definition on our asset we see for example:
  • The ratio of return and volatility (Sharpe) over 5 years of US Market Strategy 2x Leverage is 1.31, which is higher, thus better compared to the benchmark SPY (0.6) in the same period.
  • During the last 3 years, the risk / return profile (Sharpe) is 0.68, which is larger, thus better than the value of 0.44 from the benchmark.

Sortino:

'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 US Market Strategy 2x Leverage is 1.87, which is greater, thus better compared to the benchmark SPY (0.83) in the same period.
  • Compared with SPY (0.62) in the period of the last 3 years, the ratio of annual return and downside deviation of 0.97 is larger, thus better.

Ulcer:

'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:
  • The Ulcer Ratio over 5 years of US Market Strategy 2x Leverage is 8.78 , which is smaller, thus better compared to the benchmark SPY (9.32 ) in the same period.
  • During the last 3 years, the Ulcer Ratio is 10 , which is larger, thus worse than the value of 10 from the benchmark.

MaxDD:

'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:
  • Compared with the benchmark SPY (-33.7 days) in the period of the last 5 years, the maximum reduction from previous high of -27.8 days of US Market Strategy 2x Leverage is larger, thus better.
  • Looking at maximum DrawDown in of -27.8 days in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (-24.5 days).

MaxDuration:

'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:
  • Looking at the maximum days below previous high of 392 days in the last 5 years of US Market Strategy 2x Leverage, we see it is relatively lower, thus better in comparison to the benchmark SPY (488 days)
  • During the last 3 years, the maximum days below previous high is 392 days, which is lower, thus better than the value of 488 days from the benchmark.

AveDuration:

'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.'

Applying this definition to our asset in some examples:
  • The average days under water over 5 years of US Market Strategy 2x Leverage is 88 days, which is lower, thus better compared to the benchmark SPY (123 days) in the same period.
  • During the last 3 years, the average days under water is 122 days, which is smaller, thus better than the value of 180 days from the benchmark.

Performance (YTD)

Historical returns have been extended using synthetic data.

Allocations ()

Allocations

Returns (%)

  • 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 and do not account for slippage, fees or taxes.
  • Results may be based on backtesting, which has many inherent limitations, some of which are described in our Terms of Use.