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.'

• The total return, or performance over 5 years of Vanguard European Stock Index Fund is 56.3%, which is lower, thus worse compared to the benchmark SPY (80.2%) in the same period.
• Looking at total return, or increase in value in of 53.7% in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (76.3%).

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.'

• Compared with the benchmark SPY (12.6%) in the period of the last 5 years, the annual performance (CAGR) of 9.4% of Vanguard European Stock Index Fund is smaller, thus worse.
• Looking at compounded annual growth rate (CAGR) in of 15.5% in the period of the last 3 years, we see it is relatively smaller, thus worse in comparison to SPY (20.9%).

Volatility:

'Volatility is a rate at which the price of a security increases or decreases for a given set of returns. Volatility is measured by calculating the standard deviation of the annualized returns over a given period of time. It shows the range to which the price of a security may increase or decrease. Volatility measures the risk of a security. It is used in option pricing formula to gauge the fluctuations in the returns of the underlying assets. Volatility indicates the pricing behavior of the security and helps estimate the fluctuations that may happen in a short period of time.'

• Compared with the benchmark SPY (17.1%) in the period of the last 5 years, the historical 30 days volatility of 17.3% of Vanguard European Stock Index Fund is higher, thus worse.
• During the last 3 years, the historical 30 days volatility is 14.7%, which is smaller, thus better than the value of 15.2% from the benchmark.

DownVol:

'The downside volatility is similar to the volatility, or standard deviation, but only takes losing/negative periods into account.'

• Compared with the benchmark SPY (11.8%) in the period of the last 5 years, the downside deviation of 11.9% of Vanguard European Stock Index Fund is greater, thus worse.
• Compared with SPY (10.1%) in the period of the last 3 years, the downside volatility of 10.1% is higher, thus worse.

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 (0.59) in the period of the last 5 years, the risk / return profile (Sharpe) of 0.4 of Vanguard European Stock Index Fund is lower, thus worse.
• During the last 3 years, the Sharpe Ratio is 0.88, which is smaller, thus worse than the value of 1.21 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.'

• The excess return divided by the downside deviation over 5 years of Vanguard European Stock Index Fund is 0.58, which is lower, thus worse compared to the benchmark SPY (0.85) in the same period.
• During the last 3 years, the downside risk / excess return profile is 1.29, which is lower, thus worse than the value of 1.82 from the benchmark.

Ulcer:

'The ulcer index is a stock market risk measure or technical analysis indicator devised by Peter Martin in 1987, and published by him and Byron McCann in their 1989 book The Investors Guide to Fidelity Funds. It's designed as a measure of volatility, but only volatility in the downward direction, i.e. the amount of drawdown or retracement occurring over a period. Other volatility measures like standard deviation treat up and down movement equally, but a trader doesn't mind upward movement, it's the downside that causes stress and stomach ulcers that the index's name suggests.'

• Compared with the benchmark SPY (8.45 ) in the period of the last 5 years, the Downside risk index of 9.92 of Vanguard European Stock Index Fund is greater, thus worse.
• Compared with SPY (3.5 ) in the period of the last 3 years, the Ulcer Ratio of 4.29 is larger, 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.'

• Compared with the benchmark SPY (-24.5 days) in the period of the last 5 years, the maximum reduction from previous high of -32.8 days of Vanguard European Stock Index Fund is lower, thus worse.
• Compared with SPY (-18.8 days) in the period of the last 3 years, the maximum reduction from previous high of -14 days is greater, 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 greater, thus worse compared to the benchmark SPY (488 days) in the same period.
• Looking at maximum days below previous high in of 106 days in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (87 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 (119 days) in the period of the last 5 years, the average time in days below previous high water mark of 176 days of Vanguard European Stock Index Fund is larger, thus worse.
• During the last 3 years, the average days under water is 25 days, which is larger, thus worse than the value of 20 days from the benchmark.