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 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.'

Applying this definition to our asset in some examples:
  • Compared with the benchmark SPY (86.8%) in the period of the last 5 years, the total return, or performance of 220.9% of US Market Strategy 2x Leverage is larger, thus better.
  • Compared with SPY (26.3%) in the period of the last 3 years, the total return of 46.8% is higher, thus better.

CAGR:

'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:
  • Looking at the annual performance (CAGR) of 26.3% 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 (13.3%)
  • Looking at compounded annual growth rate (CAGR) in of 13.7% in the period of the last 3 years, we see it is relatively greater, thus better in comparison to SPY (8.1%).

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.'

Applying this definition to our asset in some examples:
  • The 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.
  • Looking at historical 30 days volatility in of 17.8% in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (17.3%).

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 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%)
  • Looking at downside deviation 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 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.'

Which means for our asset as example:
  • Compared with the benchmark SPY (0.52) in the period of the last 5 years, the risk / return profile (Sharpe) of 1.19 of US Market Strategy 2x Leverage is greater, thus better.
  • 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, 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:
  • Compared with the benchmark SPY (0.72) in the period of the last 5 years, the ratio of annual return and downside deviation of 1.69 of US Market Strategy 2x Leverage is higher, thus better.
  • Looking at downside risk / excess return profile in of 0.9 in the period of the last 3 years, we see it is relatively higher, thus better in comparison to SPY (0.46).

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.'

Which means for our asset as example:
  • Compared with the benchmark SPY (9.33 ) in the period of the last 5 years, the Downside risk index of 8.81 of US Market Strategy 2x Leverage is smaller, thus better.
  • Looking at Ulcer Ratio in of 10 in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (10 ).

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.'

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 drop from peak to valley of -27.8 days of US Market Strategy 2x Leverage is higher, thus better.
  • Compared with SPY (-24.5 days) in the period of the last 3 years, the maximum reduction from previous high of -27.8 days is lower, thus worse.

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.'

Using this definition on our asset we see for 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 lower, thus better in comparison to the benchmark SPY (488 days)
  • Looking at maximum time in days below previous high water mark in of 392 days in the period of the last 3 years, we see it is relatively lower, 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 smaller, 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.