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.'

Applying this definition to our asset in some examples:
  • The total return, or performance over 5 years of US Market Strategy 2x Leverage is 137.6%, which is higher, thus better compared to the benchmark SPY (123.2%) in the same period.
  • During the last 3 years, the total return, or performance is 45.5%, which is lower, thus worse than the value of 55.2% from the benchmark.

CAGR:

'The compound annual growth rate (CAGR) is a useful measure of growth over multiple time periods. It can be thought of as the growth rate that gets you from the initial investment value to the ending investment value if you assume that the investment has been compounding over the time period.'

Which means for our asset as example:
  • Compared with the benchmark SPY (17.5%) in the period of the last 5 years, the annual return (CAGR) of 18.9% of US Market Strategy 2x Leverage is greater, thus better.
  • Compared with SPY (15.8%) in the period of the last 3 years, the annual performance (CAGR) of 13.4% is lower, thus worse.

Volatility:

'Volatility is a rate at which the price of a security increases or decreases for a given set of returns. Volatility is measured by calculating the standard deviation of the annualized returns over a given period of time. It shows the range to which the price of a security may increase or decrease. Volatility measures the risk of a security. It is used in option pricing formula to gauge the fluctuations in the returns of the underlying assets. Volatility indicates the pricing behavior of the security and helps estimate the fluctuations that may happen in a short period of time.'

Using this definition on our asset we see for example:
  • The historical 30 days volatility over 5 years of US Market Strategy 2x Leverage is 18.9%, which is greater, thus worse compared to the benchmark SPY (17.9%) in the same period.
  • Looking at 30 days standard deviation in of 18.5% in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (18.4%).

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:
  • Compared with the benchmark SPY (12.4%) in the period of the last 5 years, the downside deviation of 13.3% of US Market Strategy 2x Leverage is greater, thus worse.
  • Compared with SPY (12.4%) in the period of the last 3 years, the downside volatility of 12.8% is larger, 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 Sharpe Ratio over 5 years of US Market Strategy 2x Leverage is 0.87, which is larger, thus better compared to the benchmark SPY (0.83) in the same period.
  • Compared with SPY (0.73) in the period of the last 3 years, the risk / return profile (Sharpe) of 0.59 is smaller, thus worse.

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.'

Which means for our asset as example:
  • Compared with the benchmark SPY (1.2) in the period of the last 5 years, the downside risk / excess return profile of 1.24 of US Market Strategy 2x Leverage is larger, thus better.
  • Compared with SPY (1.08) in the period of the last 3 years, the downside risk / excess return profile of 0.85 is smaller, thus worse.

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:
  • The Downside risk index over 5 years of US Market Strategy 2x Leverage is 8.95 , which is higher, thus worse compared to the benchmark SPY (8.48 ) in the same period.
  • Compared with SPY (5.54 ) in the period of the last 3 years, the Ulcer Ratio of 6.8 is higher, thus worse.

MaxDD:

'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.'

Applying this definition to our asset in some examples:
  • The maximum reduction from previous high over 5 years of US Market Strategy 2x Leverage is -27.8 days, which is lower, thus worse compared to the benchmark SPY (-24.5 days) in the same period.
  • During the last 3 years, the maximum drop from peak to valley is -20 days, which is lower, thus worse than the value of -18.8 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.'

Using this definition on our asset we see for example:
  • Looking at the maximum days under water 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 days below previous high in of 232 days in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (199 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.'

Applying this definition to our asset in some examples:
  • Compared with the benchmark SPY (119 days) in the period of the last 5 years, the average time in days below previous high water mark of 90 days of US Market Strategy 2x Leverage is lower, thus better.
  • Compared with SPY (45 days) in the period of the last 3 years, the average time in days below previous high water mark of 59 days is larger, thus worse.

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.