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:

'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.'

Which means for our asset as example:
  • The total return, or performance over 5 years of US Market Strategy 2x Leverage is 220.9%, which is larger, thus better compared to the benchmark SPY (86.8%) in the same period.
  • During the last 3 years, the total return, or increase in value is 46.8%, which is greater, thus better than the value of 26.3% from the benchmark.

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.'

Using this definition on our asset we see for example:
  • Compared with the benchmark SPY (13.3%) in the period of the last 5 years, the annual return (CAGR) of 26.3% of US Market Strategy 2x Leverage is greater, thus better.
  • Looking at annual performance (CAGR) in of 13.7% in the period of the last 3 years, we see it is relatively higher, thus better in comparison to SPY (8.1%).

Volatility:

'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 historical 30 days volatility over 5 years of US Market Strategy 2x Leverage is 20.1%, which is lower, thus better compared to the benchmark SPY (20.9%) in the same period.
  • During the last 3 years, the 30 days standard deviation is 17.8%, which is larger, thus worse than the value of 17.3% from the benchmark.

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.'

Which means for our asset as example:
  • Looking at the downside risk of 14% 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%)
  • During the last 3 years, the downside risk is 12.4%, which is higher, thus worse than the value of 12.1% from the benchmark.

Sharpe:

'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:
  • The ratio of return and volatility (Sharpe) over 5 years of US Market Strategy 2x Leverage is 1.19, which is higher, thus better compared to the benchmark SPY (0.52) in the same period.
  • During the last 3 years, the risk / return profile (Sharpe) is 0.63, which is higher, thus better than the value of 0.32 from the benchmark.

Sortino:

'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:
  • Compared with the benchmark SPY (0.72) in the period of the last 5 years, the excess return divided by the downside deviation of 1.69 of US Market Strategy 2x Leverage is larger, thus better.
  • During the last 3 years, the excess return divided by the downside deviation is 0.9, which is larger, thus better than the value of 0.46 from the benchmark.

Ulcer:

'Ulcer Index is a method for measuring investment risk that addresses the real concerns of investors, unlike the widely used standard deviation of return. UI is a measure of the depth and duration of drawdowns in prices from earlier highs. Using Ulcer Index instead of standard deviation can lead to very different conclusions about investment risk and risk-adjusted return, especially when evaluating strategies that seek to avoid major declines in portfolio value (market timing, dynamic asset allocation, hedge funds, etc.). The Ulcer Index was originally developed in 1987. Since then, it has been widely recognized and adopted by the investment community. According to Nelson Freeburg, editor of Formula Research, Ulcer Index is “perhaps the most fully realized statistical portrait of risk there is.'

Using this definition on our asset we see for example:
  • The Ulcer Index over 5 years of US Market Strategy 2x Leverage is 8.81 , which is smaller, thus better compared to the benchmark SPY (9.33 ) in the same period.
  • Compared with SPY (10 ) in the period of the last 3 years, the Ulcer Index of 10 is larger, thus worse.

MaxDD:

'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:
  • The maximum reduction from previous high 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 smaller, thus worse than the value of -24.5 days from the benchmark.

MaxDuration:

'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) in days.'

Using this definition on our asset we see for example:
  • Compared with the benchmark SPY (488 days) in the period of the last 5 years, the maximum days under water of 392 days of US Market Strategy 2x Leverage is lower, thus better.
  • Looking at maximum days under water in of 392 days in the period of the last 3 years, we see it is relatively smaller, thus better in comparison to SPY (488 days).

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.'

Which means for our asset as example:
  • Looking at the average time in days below previous high water mark of 88 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 (122 days)
  • Compared with SPY (178 days) in the period of the last 3 years, the average days below previous high of 122 days is lower, thus better.

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, 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.