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 (84.2%) in the period of the last 5 years, the total return of 50.6% of Vanguard European Stock Index Fund is lower, thus worse.
• Compared with SPY (75.9%) in the period of the last 3 years, the total return of 59.4% is lower, thus worse.

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.'

• The annual return (CAGR) over 5 years of Vanguard European Stock Index Fund is 8.6%, which is lower, thus worse compared to the benchmark SPY (13.1%) in the same period.
• Compared with SPY (20.8%) in the period of the last 3 years, the annual performance (CAGR) of 16.9% is lower, thus worse.

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.'

• The volatility over 5 years of Vanguard European Stock Index Fund is 17.4%, which is greater, thus worse compared to the benchmark SPY (17.1%) in the same period.
• Compared with SPY (15.3%) in the period of the last 3 years, the 30 days standard deviation of 15.1% is lower, thus better.

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.'

• The downside volatility over 5 years of Vanguard European Stock Index Fund is 12%, which is larger, thus worse compared to the benchmark SPY (11.8%) in the same period.
• Looking at downside risk in of 10.3% in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (10.3%).

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.'

• Looking at the risk / return profile (Sharpe) of 0.35 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 (0.62)
• Looking at risk / return profile (Sharpe) in of 0.95 in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (1.2).

Sortino:

'The Sortino ratio improves upon the Sharpe ratio by isolating downside volatility from total volatility by dividing excess return by the downside deviation. The Sortino ratio is a variation of the Sharpe ratio that differentiates harmful volatility from total overall volatility by using the asset's standard deviation of negative asset returns, called downside deviation. The Sortino ratio takes the asset's return and subtracts the risk-free rate, and then divides that amount by the asset's downside deviation. The ratio was named after Frank A. Sortino.'

• The ratio of annual return and downside deviation over 5 years of Vanguard European Stock Index Fund is 0.51, which is smaller, thus worse compared to the benchmark SPY (0.89) in the same period.
• Looking at excess return divided by the downside deviation in of 1.4 in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (1.78).

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.'

• The Ulcer Ratio over 5 years of Vanguard European Stock Index Fund is 9.93 , which is larger, thus worse compared to the benchmark SPY (8.45 ) in the same period.
• During the last 3 years, the Downside risk index is 4.29 , which is higher, thus worse than the value of 3.51 from the benchmark.

MaxDD:

'A maximum drawdown is the maximum loss from a peak to a trough of a portfolio, before a new peak is attained. Maximum Drawdown is an indicator of downside risk over a specified time period. It can be used both as a stand-alone measure or as an input into other metrics such as 'Return over Maximum Drawdown' and the Calmar Ratio. Maximum Drawdown is expressed in percentage terms.'

• Looking at the maximum reduction from previous high 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)
• Looking at maximum DrawDown 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'

• The maximum days below previous high over 5 years of Vanguard European Stock Index Fund is 619 days, which is higher, thus worse compared to the benchmark SPY (488 days) in the same period.
• Compared with SPY (87 days) in the period of the last 3 years, the maximum days under water of 106 days is larger, thus worse.

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.'

• Compared with the benchmark SPY (119 days) in the period of the last 5 years, the average days under water of 176 days of Vanguard European Stock Index Fund is greater, thus worse.
• During the last 3 years, the average time in days below previous high water mark is 27 days, which is higher, thus worse than the value of 20 days from the benchmark.