'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 investmentâ€™s overall performance.'

Which means for our asset as example:- Compared with the benchmark SPY (129.1%) in the period of the last 5 years, the total return, or increase in value of 54% of Vanguard Pacific Stock Index Fund is lower, thus worse.
- During the last 3 years, the total return, or increase in value is 31.9%, which is lower, thus worse than the value of 71.3% from the benchmark.

'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.'

Applying this definition to our asset in some examples:- Looking at the compounded annual growth rate (CAGR) of 9% in the last 5 years of Vanguard Pacific Stock Index Fund, we see it is relatively lower, thus worse in comparison to the benchmark SPY (18.1%)
- Compared with SPY (19.7%) in the period of the last 3 years, the compounded annual growth rate (CAGR) of 9.7% is lower, thus worse.

'Volatility is a statistical measure of the dispersion of returns for a given security or market index. Volatility can either be measured by using the standard deviation or variance between returns from that same security or market index. Commonly, the higher the volatility, the riskier the security. In the securities markets, volatility is often associated with big swings in either direction. For example, when the stock market rises and falls more than one percent over a sustained period of time, it is called a 'volatile' market.'

Applying this definition to our asset in some examples:- The historical 30 days volatility over 5 years of Vanguard Pacific Stock Index Fund is 15.9%, which is smaller, thus better compared to the benchmark SPY (18.7%) in the same period.
- Looking at volatility in of 18.8% in the period of the last 3 years, we see it is relatively lower, thus better in comparison to SPY (22.5%).

'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.'

Which means for our asset as example:- Compared with the benchmark SPY (13.6%) in the period of the last 5 years, the downside risk of 11.7% of Vanguard Pacific Stock Index Fund is smaller, thus better.
- During the last 3 years, the downside volatility is 14%, which is smaller, thus better than the value of 16.3% from the benchmark.

'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.'

Which means for our asset as example:- Compared with the benchmark SPY (0.83) in the period of the last 5 years, the risk / return profile (Sharpe) of 0.41 of Vanguard Pacific Stock Index Fund is lower, thus worse.
- Compared with SPY (0.76) in the period of the last 3 years, the risk / return profile (Sharpe) of 0.38 is lower, thus worse.

'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.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (1.15) in the period of the last 5 years, the ratio of annual return and downside deviation of 0.56 of Vanguard Pacific Stock Index Fund is lower, thus worse.
- During the last 3 years, the ratio of annual return and downside deviation is 0.51, which is lower, thus worse than the value of 1.05 from the benchmark.

'The Ulcer Index is a technical indicator that measures downside risk, in terms of both the depth and duration of price declines. The index increases in value as the price moves farther away from a recent high and falls as the price rises to new highs. The indicator is usually calculated over a 14-day period, with the Ulcer Index showing the percentage drawdown a trader can expect from the high over that period. The greater the value of the Ulcer Index, the longer it takes for a stock to get back to the former high.'

Which means for our asset as example:- Looking at the Downside risk index of 9.52 in the last 5 years of Vanguard Pacific Stock Index Fund, we see it is relatively greater, thus worse in comparison to the benchmark SPY (5.59 )
- During the last 3 years, the Ulcer Ratio is 6.74 , which is greater, thus worse than the value of 6.38 from the benchmark.

'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.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (-33.7 days) in the period of the last 5 years, the maximum drop from peak to valley of -33.9 days of Vanguard Pacific Stock Index Fund is lower, thus worse.
- Looking at maximum DrawDown in of -31.1 days in the period of the last 3 years, we see it is relatively greater, thus better in comparison to SPY (-33.7 days).

'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.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (139 days) in the period of the last 5 years, the maximum days under water of 703 days of Vanguard Pacific Stock Index Fund is larger, thus worse.
- Compared with SPY (119 days) in the period of the last 3 years, the maximum days below previous high of 202 days is greater, thus worse.

'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.'

Which means for our asset as example:- The average time in days below previous high water mark over 5 years of Vanguard Pacific Stock Index Fund is 225 days, which is larger, thus worse compared to the benchmark SPY (32 days) in the same period.
- During the last 3 years, the average days under water is 49 days, which is greater, thus worse than the value of 25 days from the benchmark.

Historical returns have been extended using synthetic data.
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- Note that yearly returns do not equal the sum of monthly returns due to compounding.
- Performance results of Vanguard Pacific Stock Index Fund are hypothetical, do not account for slippage, fees or taxes, and are based on backtesting, which has many inherent limitations, some of which are described in our Terms of Use.