Minimum Volatility Portfolio

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.'

• Looking at the total return of 27% in the last 5 years of Minimum Volatility Portfolio, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (78.3%)
• Looking at total return, or performance in of 21% in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (71.2%).

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.'

• Looking at the annual return (CAGR) of 4.9% in the last 5 years of Minimum Volatility Portfolio, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (12.3%)
• Looking at compounded annual growth rate (CAGR) in of 6.6% in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (19.7%).

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 30 days standard deviation over 5 years of Minimum Volatility Portfolio is 3%, which is lower, thus better compared to the benchmark SPY (17%) in the same period.
• During the last 3 years, the 30 days standard deviation is 3.1%, which is smaller, thus better than the value of 15% 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.'

• Looking at the downside deviation of 2% in the last 5 years of Minimum Volatility Portfolio, we see it is relatively lower, thus better in comparison to the benchmark SPY (11.7%)
• Compared with SPY (10.1%) in the period of the last 3 years, the downside volatility of 2.1% is smaller, thus better.

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.'

• Looking at the risk / return profile (Sharpe) of 0.8 in the last 5 years of Minimum Volatility Portfolio, we see it is relatively higher, thus better in comparison to the benchmark SPY (0.58)
• During the last 3 years, the risk / return profile (Sharpe) is 1.34, which is higher, thus better than the value of 1.14 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.'

• Looking at the ratio of annual return and downside deviation of 1.2 in the last 5 years of Minimum Volatility Portfolio, we see it is relatively higher, thus better in comparison to the benchmark SPY (0.84)
• Compared with SPY (1.7) in the period of the last 3 years, the ratio of annual return and downside deviation of 1.98 is higher, thus better.

Ulcer:

'The Ulcer Index is a technical indicator that measures downside risk, in terms of both the depth and duration of price declines. The index increases in value as the price moves farther away from a recent high and falls as the price rises to new highs. The indicator is usually calculated over a 14-day period, with the Ulcer Index showing the percentage drawdown a trader can expect from the high over that period. The greater the value of the Ulcer Index, the longer it takes for a stock to get back to the former high.'

• Compared with the benchmark SPY (8.42 ) in the period of the last 5 years, the Ulcer Index of 0.97 of Minimum Volatility Portfolio is lower, thus better.
• Looking at Ulcer Index in of 0.65 in the period of the last 3 years, we see it is relatively smaller, thus better in comparison to SPY (3.42 ).

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.'

• Compared with the benchmark SPY (-24.5 days) in the period of the last 5 years, the maximum reduction from previous high of -2.7 days of Minimum Volatility Portfolio is higher, thus better.
• Looking at maximum DrawDown in of -2.4 days in the period of the last 3 years, we see it is relatively larger, thus better in comparison to SPY (-18.8 days).

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.'

• The maximum time in days below previous high water mark over 5 years of Minimum Volatility Portfolio is 291 days, which is smaller, thus better compared to the benchmark SPY (488 days) in the same period.
• During the last 3 years, the maximum days below previous high is 86 days, which is lower, thus better than the value of 87 days from the benchmark.

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.'

• Looking at the average days below previous high of 57 days in the last 5 years of Minimum Volatility Portfolio, we see it is relatively lower, thus better in comparison to the benchmark SPY (119 days)
• During the last 3 years, the average days below previous high is 21 days, which is larger, thus worse than the value of 19 days from the benchmark.