'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:- The total return over 5 years of Vanguard International Value Fund is 17.4%, which is lower, thus worse compared to the benchmark SPY (68.1%) in the same period.
- During the last 3 years, the total return is 39.3%, which is lower, thus worse than the value of 47% from the benchmark.

'Compound annual growth rate (CAGR) is a business and investing specific term for the geometric progression ratio that provides a constant rate of return over the time period. CAGR is not an accounting term, but it is often used to describe some element of the business, for example revenue, units delivered, registered users, etc. CAGR dampens the effect of volatility of periodic returns that can render arithmetic means irrelevant. It is particularly useful to compare growth rates from various data sets of common domain such as revenue growth of companies in the same industry.'

Using this definition on our asset we see for example:- The annual performance (CAGR) over 5 years of Vanguard International Value Fund is 3.3%, which is smaller, thus worse compared to the benchmark SPY (11%) in the same period.
- Compared with SPY (13.7%) in the period of the last 3 years, the compounded annual growth rate (CAGR) of 11.7% 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.'

Which means for our asset as example:- The 30 days standard deviation over 5 years of Vanguard International Value Fund is 19.2%, which is smaller, thus better compared to the benchmark SPY (21.4%) in the same period.
- Looking at volatility in of 17.7% in the period of the last 3 years, we see it is relatively lower, thus better in comparison to SPY (18.7%).

'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.'

Applying this definition to our asset in some examples:- The downside deviation over 5 years of Vanguard International Value Fund is 14.2%, which is lower, thus better compared to the benchmark SPY (15.4%) in the same period.
- Looking at downside risk in of 12.3% in the period of the last 3 years, we see it is relatively lower, thus better in comparison to SPY (13.3%).

'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:- Looking at the risk / return profile (Sharpe) of 0.04 in the last 5 years of Vanguard International Value Fund, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (0.4)
- Looking at ratio of return and volatility (Sharpe) in of 0.52 in the period of the last 3 years, we see it is relatively smaller, thus worse in comparison to SPY (0.6).

'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.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (0.55) in the period of the last 5 years, the ratio of annual return and downside deviation of 0.05 of Vanguard International Value Fund is lower, thus worse.
- Looking at excess return divided by the downside deviation in of 0.75 in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (0.84).

'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.'

Which means for our asset as example:- Compared with the benchmark SPY (9.45 ) in the period of the last 5 years, the Ulcer Ratio of 11 of Vanguard International Value Fund is higher, thus worse.
- During the last 3 years, the Ulcer Ratio is 11 , which is larger, thus worse than the value of 10 from the benchmark.

'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.'

Applying this definition to our asset in some examples:- Looking at the maximum DrawDown of -36.1 days in the last 5 years of Vanguard International Value Fund, we see it is relatively lower, thus worse in comparison to the benchmark SPY (-33.7 days)
- Looking at maximum reduction from previous high in of -28.1 days in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (-24.5 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.'

Using this definition on our asset we see for example:- The maximum days below previous high over 5 years of Vanguard International Value Fund is 497 days, which is larger, thus worse compared to the benchmark SPY (351 days) in the same period.
- Looking at maximum days below previous high in of 497 days in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (351 days).

'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:- Looking at the average days below previous high of 173 days in the last 5 years of Vanguard International Value Fund, we see it is relatively higher, thus worse in comparison to the benchmark SPY (78 days)
- Looking at average days under water in of 179 days in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (101 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.