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 (94.2%) in the period of the last 5 years, the total return of 43% of Vanguard European Stock Index Fund is lower, thus worse.
• Looking at total return, or performance in of 9.4% in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (27.9%).

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 (14.2%) in the period of the last 5 years, the annual return (CAGR) of 7.4% of Vanguard European Stock Index Fund is lower, thus worse.
• Compared with SPY (8.6%) in the period of the last 3 years, the annual return (CAGR) of 3.1% 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 (20.9%) in the period of the last 5 years, the volatility of 21.1% of Vanguard European Stock Index Fund is greater, thus worse.
• During the last 3 years, the 30 days standard deviation is 18.2%, which is greater, thus worse than the value of 17.3% from the benchmark.

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 (15%) in the period of the last 5 years, the downside volatility of 15.4% of Vanguard European Stock Index Fund is larger, thus worse.
• Looking at downside deviation in of 12.5% in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (12.1%).

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.'

• The ratio of return and volatility (Sharpe) over 5 years of Vanguard European Stock Index Fund is 0.23, which is smaller, thus worse compared to the benchmark SPY (0.56) in the same period.
• During the last 3 years, the risk / return profile (Sharpe) is 0.03, which is lower, thus worse than the value of 0.35 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.'

• Compared with the benchmark SPY (0.78) in the period of the last 5 years, the downside risk / excess return profile of 0.32 of Vanguard European Stock Index Fund is lower, thus worse.
• Looking at excess return divided by the downside deviation in of 0.04 in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (0.5).

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 Downside risk index of 11 in the last 5 years of Vanguard European Stock Index Fund, we see it is relatively larger, thus worse in comparison to the benchmark SPY (9.32 )
• During the last 3 years, the Ulcer Ratio is 12 , which is larger, thus worse than the value of 10 from the benchmark.

MaxDD:

'Maximum drawdown measures the loss in any losing period during a fund’s investment record. It is defined as the percent retrenchment from a fund’s peak value to the fund’s valley value. The drawdown is in effect from the time the fund’s retrenchment begins until a new fund high is reached. The maximum drawdown encompasses both the period from the fund’s peak to the fund’s valley (length), and the time from the fund’s valley to a new fund high (recovery). It measures the largest percentage drawdown that has occurred in any fund’s data record.'

• Looking at the maximum drop from peak to valley of -36.6 days in the last 5 years of Vanguard European Stock Index Fund, we see it is relatively lower, thus worse in comparison to the benchmark SPY (-33.7 days)
• Compared with SPY (-24.5 days) in the period of the last 3 years, the maximum DrawDown of -32.8 days is lower, thus worse.

MaxDuration:

'The Drawdown Duration is the length of any peak to peak period, or the time between new equity highs. The Max Drawdown Duration is the worst (the maximum/longest) amount of time an investment has seen between peaks (equity highs) in days.'

• The maximum time in days below previous high water mark 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 619 days in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (488 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.'

• Looking at the average days under water of 189 days in the last 5 years of Vanguard European Stock Index Fund, we see it is relatively higher, thus worse in comparison to the benchmark SPY (123 days)
• During the last 3 years, the average days under water is 265 days, which is higher, thus worse than the value of 180 days from the benchmark.