Vanguard European Stock Index Fund (VEURX)

TotalReturn:

'Total return is the amount of value an investor earns from a security over a specific period, typically one year, when all distributions are reinvested. Total return is expressed as a percentage of the amount invested. For example, a total return of 20% means the security increased by 20% of its original value due to a price increase, distribution of dividends (if a stock), coupons (if a bond) or capital gains (if a fund). Total return is a strong measure of an investment’s overall performance.'

• Looking at the total return, or increase in value of 51.3% 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 (73.7%)
• Looking at total return, or performance in of 49.3% in the period of the last 3 years, we see it is relatively smaller, thus worse in comparison to SPY (67.3%).

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 (11.7%) in the period of the last 5 years, the annual return (CAGR) of 8.7% of Vanguard European Stock Index Fund is smaller, thus worse.
• During the last 3 years, the compounded annual growth rate (CAGR) is 14.4%, which is lower, thus worse than the value of 18.9% from the benchmark.

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%) in the period of the last 5 years, the volatility of 17.2% of Vanguard European Stock Index Fund is larger, thus worse.
• During the last 3 years, the 30 days standard deviation is 14.6%, which is smaller, thus better than the value of 15.1% 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 higher, thus worse.
• Compared with SPY (10.2%) in the period of the last 3 years, the downside volatility of 10.1% is lower, thus better.

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.'

• Compared with the benchmark SPY (0.54) in the period of the last 5 years, the risk / return profile (Sharpe) of 0.36 of Vanguard European Stock Index Fund is lower, thus worse.
• Looking at ratio of return and volatility (Sharpe) in of 0.82 in the period of the last 3 years, we see it is relatively smaller, thus worse in comparison to SPY (1.08).

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 0.52 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 (0.78)
• Compared with SPY (1.61) in the period of the last 3 years, the downside risk / excess return profile of 1.18 is lower, 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 (8.45 ) in the period of the last 5 years, the Ulcer Ratio of 9.92 of Vanguard European Stock Index Fund is larger, thus worse.
• During the last 3 years, the Ulcer Ratio is 4.28 , which is larger, thus worse than the value of 3.5 from the benchmark.

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.'

• The maximum DrawDown over 5 years of Vanguard European Stock Index Fund is -32.8 days, which is lower, thus worse compared to the benchmark SPY (-24.5 days) in the same period.
• Looking at maximum drop from peak to valley in of -14 days in the period of the last 3 years, we see it is relatively larger, thus better in comparison to SPY (-18.8 days).

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). Many assume Max DD Duration is the length of time between new highs during which the Max DD (magnitude) occurred. But that isn’t always the case. The Max DD duration is the longest time between peaks, period. So it could be the time when the program also had its biggest peak to valley loss (and usually is, because the program needs a long time to recover from the largest loss), but it doesn’t have to be'

• Looking at the maximum time in days below previous high water mark of 619 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 (488 days)
• Looking at maximum days under water 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 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 177 days, which is higher, thus worse compared to the benchmark SPY (119 days) in the same period.
• Compared with SPY (20 days) in the period of the last 3 years, the average days under water of 25 days is greater, thus worse.