Leveraged Universal Investment Strategy

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.'

• Compared with the benchmark SPY (36.4%) in the period of the last 5 years, the total return of 186.5% of Leveraged Universal Investment Strategy is higher, thus better.
• During the last 3 years, the total return is 106.2%, which is greater, thus better than the value of 14.9% from the benchmark.

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.'

• The compounded annual growth rate (CAGR) over 5 years of Leveraged Universal Investment Strategy is 23.4%, which is higher, thus better compared to the benchmark SPY (6.4%) in the same period.
• Compared with SPY (4.7%) in the period of the last 3 years, the compounded annual growth rate (CAGR) of 27.2% is higher, thus better.

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.'

• The volatility over 5 years of Leveraged Universal Investment Strategy is 24.5%, which is larger, thus worse compared to the benchmark SPY (17.8%) in the same period.
• Looking at volatility in of 26.2% in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (20%).

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.'

• The downside deviation over 5 years of Leveraged Universal Investment Strategy is 17.9%, which is larger, thus worse compared to the benchmark SPY (13.2%) in the same period.
• Looking at downside volatility in of 19.6% in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (15.1%).

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.'

• Compared with the benchmark SPY (0.22) in the period of the last 5 years, the Sharpe Ratio of 0.86 of Leveraged Universal Investment Strategy is larger, thus better.
• Compared with SPY (0.11) in the period of the last 3 years, the risk / return profile (Sharpe) of 0.95 is larger, thus better.

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.'

• Compared with the benchmark SPY (0.3) in the period of the last 5 years, the ratio of annual return and downside deviation of 1.17 of Leveraged Universal Investment Strategy is larger, thus better.
• During the last 3 years, the ratio of annual return and downside deviation is 1.26, which is higher, thus better than the value of 0.15 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 Downside risk index over 5 years of Leveraged Universal Investment Strategy is 9.84 , which is larger, thus worse compared to the benchmark SPY (4.93 ) in the same period.
• Compared with SPY (5.58 ) in the period of the last 3 years, the Ulcer Index of 8.83 is higher, 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.'

• Looking at the maximum DrawDown 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 DrawDown of -42.7 days is smaller, 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.'

• Compared with the benchmark SPY (187 days) in the period of the last 5 years, the maximum days under water 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 higher, thus worse in comparison to SPY (139 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.'

• Compared with the benchmark SPY (42 days) in the period of the last 5 years, the average days under water of 64 days of Leveraged Universal Investment Strategy is higher, thus worse.
• During the last 3 years, the average days below previous high is 61 days, which is higher, thus worse than the value of 36 days from the benchmark.