Vanguard European Stock Index Fund (VEURX)

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 (94.9%) in the period of the last 5 years, the total return, or performance of 59.1% of Vanguard European Stock Index Fund is lower, thus worse.
• Compared with SPY (84.9%) in the period of the last 3 years, the total return, or increase in value of 60.8% is smaller, thus worse.

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 annual return (CAGR) over 5 years of Vanguard European Stock Index Fund is 9.8%, which is smaller, thus worse compared to the benchmark SPY (14.3%) in the same period.
• Compared with SPY (22.9%) in the period of the last 3 years, the annual performance (CAGR) of 17.2% is lower, thus worse.

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.'

• Compared with the benchmark SPY (17.1%) in the period of the last 5 years, the historical 30 days volatility of 16.9% of Vanguard European Stock Index Fund is lower, thus better.
• During the last 3 years, the volatility is 14.3%, which is lower, thus better than the value of 15.3% 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 (11.8%) in the period of the last 5 years, the downside deviation of 11.7% of Vanguard European Stock Index Fund is smaller, thus better.
• Looking at downside deviation in of 9.8% in the period of the last 3 years, we see it is relatively lower, thus better in comparison to SPY (10.2%).

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 risk / return profile (Sharpe) over 5 years of Vanguard European Stock Index Fund is 0.43, which is lower, thus worse compared to the benchmark SPY (0.69) in the same period.
• Compared with SPY (1.33) in the period of the last 3 years, the Sharpe Ratio of 1.03 is lower, thus worse.

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.'

• Compared with the benchmark SPY (1.01) in the period of the last 5 years, the excess return divided by the downside deviation of 0.62 of Vanguard European Stock Index Fund is lower, thus worse.
• During the last 3 years, the downside risk / excess return profile is 1.5, which is lower, thus worse than the value of 2 from the benchmark.

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.'

• The Ulcer Index over 5 years of Vanguard European Stock Index Fund is 9.86 , which is greater, thus worse compared to the benchmark SPY (8.42 ) in the same period.
• Compared with SPY (3.51 ) in the period of the last 3 years, the Ulcer Index of 4.06 is higher, thus worse.

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 drop from peak to valley of -32.8 days in the last 5 years of Vanguard European Stock Index Fund, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (-24.5 days)
• Compared with SPY (-18.8 days) in the period of the last 3 years, the maximum DrawDown of -14 days is higher, thus better.

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 days under water over 5 years of Vanguard European Stock Index Fund is 619 days, which is larger, thus worse compared to the benchmark SPY (488 days) in the same period.
• During the last 3 years, the maximum days under water is 106 days, which is greater, thus worse 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.'

• The average time in days below previous high water mark over 5 years of Vanguard European Stock Index Fund is 176 days, which is higher, thus worse compared to the benchmark SPY (119 days) in the same period.
• Compared with SPY (21 days) in the period of the last 3 years, the average days below previous high of 26 days is greater, thus worse.