Minimum Volatility Portfolio

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.'

• The total return, or performance over 5 years of Minimum Volatility Portfolio is 28.9%, which is lower, thus worse compared to the benchmark SPY (84.9%) in the same period.
• Looking at total return, or increase in value in of 23.5% in the period of the last 3 years, we see it is relatively smaller, thus worse in comparison to SPY (80.2%).

CAGR:

'The compound annual growth rate isn't a true return rate, but rather a representational figure. It is essentially a number that describes the rate at which an investment would have grown if it had grown the same rate every year and the profits were reinvested at the end of each year. In reality, this sort of performance is unlikely. However, CAGR can be used to smooth returns so that they may be more easily understood when compared to alternative investments.'

• Compared with the benchmark SPY (13.1%) in the period of the last 5 years, the compounded annual growth rate (CAGR) of 5.2% of Minimum Volatility Portfolio is smaller, thus worse.
• During the last 3 years, the compounded annual growth rate (CAGR) is 7.3%, which is lower, thus worse than the value of 21.8% from the benchmark.

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.'

• Looking at the 30 days standard deviation of 3.1% in the last 5 years of Minimum Volatility Portfolio, we see it is relatively lower, thus better in comparison to the benchmark SPY (17.1%)
• Compared with SPY (15.2%) in the period of the last 3 years, the volatility of 3.1% is lower, thus better.

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.'

• Compared with the benchmark SPY (11.8%) in the period of the last 5 years, the downside volatility of 2% of Minimum Volatility Portfolio is smaller, thus better.
• During the last 3 years, the downside volatility is 2.1%, which is lower, thus better than the value of 10.1% from the benchmark.

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 Sharpe Ratio over 5 years of Minimum Volatility Portfolio is 0.89, which is larger, thus better compared to the benchmark SPY (0.62) in the same period.
• Compared with SPY (1.27) in the period of the last 3 years, the risk / return profile (Sharpe) of 1.55 is larger, thus better.

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.'

• The excess return divided by the downside deviation over 5 years of Minimum Volatility Portfolio is 1.35, which is greater, thus better compared to the benchmark SPY (0.9) in the same period.
• Compared with SPY (1.91) in the period of the last 3 years, the ratio of annual return and downside deviation of 2.33 is higher, thus better.

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.'

• Looking at the Ulcer Index of 0.98 in the last 5 years of Minimum Volatility Portfolio, we see it is relatively smaller, thus better in comparison to the benchmark SPY (8.45 )
• During the last 3 years, the Ulcer Ratio is 0.67 , which is lower, thus better than the value of 3.5 from the benchmark.

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.'

• The maximum drop from peak to valley over 5 years of Minimum Volatility Portfolio is -2.7 days, which is greater, thus better compared to the benchmark SPY (-24.5 days) in the same period.
• During the last 3 years, the maximum reduction from previous high is -2.4 days, which is larger, thus better 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.'

• Looking at the maximum days under water of 291 days in the last 5 years of Minimum Volatility Portfolio, we see it is relatively lower, thus better in comparison to the benchmark SPY (488 days)
• Compared with SPY (87 days) in the period of the last 3 years, the maximum days below previous high of 86 days is lower, thus better.

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 time in days below previous high water mark 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 22 days, which is larger, thus worse than the value of 20 days from the benchmark.