'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.'

Using this definition on our asset we see for example:- Looking at the total return of -0.8% in the last 5 years of Vanguard International Value Fund, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (61.3%)
- During the last 3 years, the total return, or performance is -0.6%, which is lower, thus worse than the value of 31.6% 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.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (10%) in the period of the last 5 years, the compounded annual growth rate (CAGR) of -0.2% of Vanguard International Value Fund is lower, thus worse.
- Compared with SPY (9.6%) in the period of the last 3 years, the annual return (CAGR) of -0.2% is smaller, 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.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (20.8%) in the period of the last 5 years, the 30 days standard deviation of 18.6% of Vanguard International Value Fund is lower, thus better.
- Compared with SPY (24%) in the period of the last 3 years, the volatility of 21.9% is lower, thus better.

'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.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (15.3%) in the period of the last 5 years, the downside deviation of 14% of Vanguard International Value Fund is lower, thus better.
- During the last 3 years, the downside volatility is 16.6%, which is lower, thus better than the value of 17.6% from the benchmark.

'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.'

Which means for our asset as example:- Compared with the benchmark SPY (0.36) in the period of the last 5 years, the ratio of return and volatility (Sharpe) of -0.14 of Vanguard International Value Fund is lower, thus worse.
- Looking at Sharpe Ratio in of -0.12 in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (0.3).

'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:- The ratio of annual return and downside deviation over 5 years of Vanguard International Value Fund is -0.19, which is lower, thus worse compared to the benchmark SPY (0.49) in the same period.
- Looking at excess return divided by the downside deviation in of -0.16 in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (0.4).

'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.'

Using this definition on our asset we see for example:- The Downside risk index over 5 years of Vanguard International Value Fund is 13 , which is higher, thus worse compared to the benchmark SPY (7.61 ) in the same period.
- Looking at Downside risk index in of 12 in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (8.93 ).

'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:- The maximum drop from peak to valley over 5 years of Vanguard International Value Fund is -38.3 days, which is smaller, thus worse compared to the benchmark SPY (-33.7 days) in the same period.
- Looking at maximum DrawDown in of -36.1 days in the period of the last 3 years, we see it is relatively lower, thus worse 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.'

Which means for our asset as example:- The maximum time in days below previous high water mark over 5 years of Vanguard International Value Fund is 717 days, which is greater, thus worse compared to the benchmark SPY (185 days) in the same period.
- During the last 3 years, the maximum days under water is 331 days, which is greater, thus worse than the value of 185 days from the benchmark.

'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.'

Using this definition on our asset we see for example:- The average days under water over 5 years of Vanguard International Value Fund is 263 days, which is higher, thus worse compared to the benchmark SPY (46 days) in the same period.
- Looking at average days below previous high in of 112 days in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (44 days).

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 International Value 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.