Leveraged Universal Investment Strategy

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.'

• The total return over 5 years of Leveraged Universal Investment Strategy is 246.4%, which is greater, thus better compared to the benchmark SPY (66.6%) in the same period.
• During the last 3 years, the total return, or increase in value is 110.4%, which is larger, thus better than the value of 36.1% 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.'

• Compared with the benchmark SPY (10.8%) in the period of the last 5 years, the annual performance (CAGR) of 28.2% of Leveraged Universal Investment Strategy is greater, thus better.
• Compared with SPY (10.8%) in the period of the last 3 years, the annual performance (CAGR) of 28.2% is greater, thus better.

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.'

• The volatility over 5 years of Leveraged Universal Investment Strategy is 25.2%, which is greater, thus worse compared to the benchmark SPY (19%) in the same period.
• During the last 3 years, the volatility is 27.8%, which is greater, thus worse than the value of 22% 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.'

• Compared with the benchmark SPY (13.9%) in the period of the last 5 years, the downside deviation of 18.2% of Leveraged Universal Investment Strategy is greater, thus worse.
• Looking at downside volatility in of 20.4% in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (16.2%).

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.'

• The ratio of return and volatility (Sharpe) over 5 years of Leveraged Universal Investment Strategy is 1.02, which is greater, thus better compared to the benchmark SPY (0.43) in the same period.
• During the last 3 years, the Sharpe Ratio is 0.92, which is higher, thus better than the value of 0.38 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.'

• Looking at the ratio of annual return and downside deviation of 1.41 in the last 5 years of Leveraged Universal Investment Strategy, we see it is relatively larger, thus better in comparison to the benchmark SPY (0.59)
• During the last 3 years, the excess return divided by the downside deviation is 1.26, which is higher, thus better than the value of 0.52 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.'

• The Ulcer Index over 5 years of Leveraged Universal Investment Strategy is 8.53 , which is higher, thus worse compared to the benchmark SPY (5.9 ) in the same period.
• During the last 3 years, the Ulcer Index is 9.41 , which is larger, thus worse than the value of 6.98 from the benchmark.

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.'

• Looking at the maximum reduction from previous high of -42.7 days in the last 5 years of Leveraged Universal Investment Strategy, we see it is relatively lower, thus worse in comparison to the benchmark SPY (-33.7 days)
• Compared with SPY (-33.7 days) in the period of the last 3 years, the maximum drop from peak to valley of -42.7 days is smaller, thus worse.

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). Many assume Max DD Duration is the length of time between new highs during which the Max DD (magnitude) occurred. But that isn’t always the case. The Max DD duration is the longest time between peaks, period. So it could be the time when the program also had its biggest peak to valley loss (and usually is, because the program needs a long time to recover from the largest loss), but it doesn’t have to be'

• Compared with the benchmark SPY (187 days) in the period of the last 5 years, the maximum time in days below previous high water mark of 265 days of Leveraged Universal Investment Strategy is higher, thus worse.
• Looking at maximum days below previous high in of 265 days in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (139 days).

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.'

• The average days below previous high over 5 years of Leveraged Universal Investment Strategy is 56 days, which is larger, thus worse compared to the benchmark SPY (44 days) in the same period.
• Compared with SPY (41 days) in the period of the last 3 years, the average days under water of 65 days is higher, thus worse.