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 35.5%, which is smaller, thus worse compared to the benchmark SPY (97.3%) in the same period.
• Compared with SPY (40.1%) in the period of the last 3 years, the total return of 12.6% is smaller, thus worse.

CAGR:

'The compound annual growth rate (CAGR) is a useful measure of growth over multiple time periods. It can be thought of as the growth rate that gets you from the initial investment value to the ending investment value if you assume that the investment has been compounding over the time period.'

• Looking at the compounded annual growth rate (CAGR) of 6.3% 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 (14.6%)
• Looking at annual performance (CAGR) in of 4.1% in the period of the last 3 years, we see it is relatively smaller, thus worse in comparison to SPY (12%).

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 21.2% in the last 5 years of Vanguard European Stock Index Fund, we see it is relatively greater, thus worse in comparison to the benchmark SPY (21%)
• Looking at historical 30 days volatility in of 18.3% in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (17.3%).

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 risk of 15.5% 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 (15%)
• During the last 3 years, the downside deviation is 12.5%, which is higher, thus worse than the value of 12.1% from the benchmark.

Sharpe:

'The Sharpe ratio (also known as the Sharpe index, the Sharpe measure, and the reward-to-variability ratio) is a way to examine the performance of an investment by adjusting for its risk. The ratio measures the excess return (or risk premium) per unit of deviation in an investment asset or a trading strategy, typically referred to as risk, named after William F. Sharpe.'

• The risk / return profile (Sharpe) over 5 years of Vanguard European Stock Index Fund is 0.18, which is lower, thus worse compared to the benchmark SPY (0.58) in the same period.
• Compared with SPY (0.55) in the period of the last 3 years, the ratio of return and volatility (Sharpe) of 0.09 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.'

• Looking at the ratio of annual return and downside deviation of 0.24 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 (0.8)
• Compared with SPY (0.78) in the period of the last 3 years, the excess return divided by the downside deviation of 0.12 is smaller, thus worse.

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.'

• Compared with the benchmark SPY (9.33 ) in the period of the last 5 years, the Downside risk index of 12 of Vanguard European Stock Index Fund is greater, thus worse.
• During the last 3 years, the Downside risk index is 11 , which is higher, thus worse than the value of 8.64 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.'

• Compared with the benchmark SPY (-33.7 days) in the period of the last 5 years, the maximum DrawDown of -36.3 days of Vanguard European Stock Index Fund is smaller, thus worse.
• During the last 3 years, the maximum reduction from previous high is -30.4 days, which is lower, thus worse than the value of -22.1 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.'

• Compared with the benchmark SPY (488 days) in the period of the last 5 years, the maximum time in days below previous high water mark of 619 days of Vanguard European Stock Index Fund is higher, thus worse.
• Looking at maximum time in days below previous high water mark in of 463 days in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (325 days).

AveDuration:

'The Drawdown Duration is the length of any peak to peak period, or the time between new equity highs. 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 days under water over 5 years of Vanguard European Stock Index Fund is 186 days, which is greater, thus worse compared to the benchmark SPY (122 days) in the same period.
• Compared with SPY (89 days) in the period of the last 3 years, the average days under water of 159 days is larger, thus worse.