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.'

Using this definition on our asset we see for example:
  • Looking at the total return, or performance of 219.2% 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 (85.8%)
  • Compared with SPY (25.3%) in the period of the last 3 years, the total return, or increase in value of 46.4% is higher, 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.'

Which means for our asset as example:
  • The annual performance (CAGR) over 5 years of US Market Strategy 2x Leverage is 26.1%, which is higher, thus better compared to the benchmark SPY (13.2%) in the same period.
  • During the last 3 years, the compounded annual growth rate (CAGR) is 13.6%, which is larger, thus better than the value of 7.8% from the benchmark.

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.'

Applying this definition to our asset in some examples:
  • Compared with the benchmark SPY (21%) in the period of the last 5 years, the volatility of 20.1% of US Market Strategy 2x Leverage is smaller, thus better.
  • Compared with SPY (17.3%) in the period of the last 3 years, the historical 30 days volatility of 17.8% is greater, thus worse.

DownVol:

'Downside risk is the financial risk associated with losses. That is, it is the risk of the actual return being below the expected return, or the uncertainty about the magnitude of that difference. 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:
  • Compared with the benchmark SPY (15%) in the period of the last 5 years, the downside volatility of 14.1% of US Market Strategy 2x Leverage is lower, thus better.
  • Looking at downside risk in of 12.4% in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (12.1%).

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 1.18, which is greater, thus better compared to the benchmark SPY (0.51) in the same period.
  • Looking at ratio of return and volatility (Sharpe) in of 0.62 in the period of the last 3 years, we see it is relatively greater, thus better in comparison to SPY (0.31).

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.'

Which means for our asset as example:
  • The downside risk / excess return profile over 5 years of US Market Strategy 2x Leverage is 1.68, which is greater, thus better compared to the benchmark SPY (0.71) in the same period.
  • Looking at excess return divided by the downside deviation in of 0.89 in the period of the last 3 years, we see it is relatively higher, thus better in comparison to SPY (0.44).

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.'

Applying this definition to our asset in some examples:
  • 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 Downside risk index of 10 is larger, thus worse.

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:
  • 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 DrawDown is -27.8 days, which is lower, thus worse than the value of -24.5 days from the benchmark.

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 time in days below previous high water mark of 392 days in the last 5 years of US Market Strategy 2x Leverage, we see it is relatively smaller, thus better in comparison to the benchmark SPY (488 days)
  • Compared with SPY (488 days) in the period of the last 3 years, the maximum days under water of 392 days is lower, thus better.

AveDuration:

'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 88 days, which is lower, thus better compared to the benchmark SPY (122 days) in the same period.
  • Compared with SPY (179 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.