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.'

• Compared with the benchmark SPY (100.3%) in the period of the last 5 years, the total return of 71.1% of Vanguard European Stock Index Fund is smaller, thus worse.
• Looking at total return, or increase in value in of 58.4% in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (77.1%).

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.'

• Looking at the compounded annual growth rate (CAGR) of 11.4% 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 (15%)
• Looking at annual return (CAGR) in of 16.7% in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (21.1%).

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 historical 30 days volatility over 5 years of Vanguard European Stock Index Fund is 16.9%, which is lower, thus better compared to the benchmark SPY (17%) in the same period.
• Looking at historical 30 days volatility in of 14.4% in the period of the last 3 years, we see it is relatively lower, thus better in comparison to SPY (15.2%).

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.'

• The downside volatility over 5 years of Vanguard European Stock Index Fund is 11.6%, which is lower, thus better compared to the benchmark SPY (11.7%) in the same period.
• Compared with SPY (10.2%) in the period of the last 3 years, the downside deviation of 9.9% is lower, thus better.

Sharpe:

'The Sharpe ratio is the measure of risk-adjusted return of a financial portfolio. Sharpe ratio is a measure of excess portfolio return over the risk-free rate relative to its standard deviation. Normally, the 90-day Treasury bill rate is taken as the proxy for risk-free rate. A portfolio with a higher Sharpe ratio is considered superior relative to its peers. The measure was named after William F Sharpe, a Nobel laureate and professor of finance, emeritus at Stanford University.'

• The risk / return profile (Sharpe) over 5 years of Vanguard European Stock Index Fund is 0.53, which is smaller, thus worse compared to the benchmark SPY (0.73) in the same period.
• During the last 3 years, the risk / return profile (Sharpe) is 0.98, which is lower, thus worse than the value of 1.23 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.'

• Looking at the excess return divided by the downside deviation of 0.76 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 (1.06)
• During the last 3 years, the downside risk / excess return profile is 1.43, which is smaller, thus worse than the value of 1.83 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 (8.42 ) in the period of the last 5 years, the Ulcer Index of 9.85 of Vanguard European Stock Index Fund is larger, thus worse.
• Compared with SPY (3.51 ) in the period of the last 3 years, the Downside risk index of 4.06 is higher, thus worse.

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 (-24.5 days) in the period of the last 5 years, the maximum drop from peak to valley of -32.8 days of Vanguard European Stock Index Fund is smaller, thus worse.
• Looking at maximum reduction from previous high in of -14 days in the period of the last 3 years, we see it is relatively higher, 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) in days.'

• Looking at the maximum days under water of 619 days 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 (488 days)
• 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.'

• Looking at the average time in days below previous high water mark of 178 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 (120 days)
• During the last 3 years, the average days below previous high is 25 days, which is greater, thus worse than the value of 21 days from the benchmark.