'The total return on a portfolio of investments takes into account not only the capital appreciation on the portfolio, but also the income received on the portfolio. The income typically consists of interest, dividends, and securities lending fees. This contrasts with the price return, which takes into account only the capital gain on an investment.'

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 performance of 61.2% of Vanguard Total International Stock Index Fund is lower, thus worse.
- Compared with SPY (71.3%) in the period of the last 3 years, the total return of 39.4% is lower, thus worse.

'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:- Looking at the annual return (CAGR) of 10% in the last 5 years of Vanguard Total International Stock Index Fund, we see it is relatively lower, thus worse in comparison to the benchmark SPY (18.1%)
- During the last 3 years, the annual performance (CAGR) is 11.7%, which is lower, thus worse than the value of 19.7% from the benchmark.

'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.'

Using this definition on our asset we see for example:- The historical 30 days volatility over 5 years of Vanguard Total International Stock Index Fund is 16.3%, which is lower, thus better compared to the benchmark SPY (18.7%) in the same period.
- Looking at volatility in of 19.5% 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.'

Applying this definition to our asset in some examples:- Looking at the downside deviation of 12.3% in the last 5 years of Vanguard Total International Stock Index Fund, we see it is relatively lower, thus better in comparison to the benchmark SPY (13.6%)
- Looking at downside risk in of 14.7% in the period of the last 3 years, we see it is relatively smaller, thus better in comparison to SPY (16.3%).

'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.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (0.83) in the period of the last 5 years, the risk / return profile (Sharpe) of 0.46 of Vanguard Total International Stock Index Fund is smaller, thus worse.
- Looking at ratio of return and volatility (Sharpe) in of 0.47 in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (0.76).

'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 downside risk / excess return profile of 0.61 of Vanguard Total International Stock Index Fund is lower, thus worse.
- Looking at ratio of annual return and downside deviation in of 0.62 in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (1.05).

'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 Ulcer Index of 9.58 in the last 5 years of Vanguard Total International Stock Index Fund, we see it is relatively greater, thus worse in comparison to the benchmark SPY (5.59 )
- Looking at Downside risk index in of 7.67 in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (6.38 ).

'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.'

Which means for our asset as example:- Compared with the benchmark SPY (-33.7 days) in the period of the last 5 years, the maximum DrawDown of -35.9 days of Vanguard Total International Stock Index Fund is smaller, thus worse.
- Looking at maximum reduction from previous high in of -34.8 days in the period of the last 3 years, we see it is relatively smaller, 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). 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'

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 706 days of Vanguard Total International 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 205 days is larger, 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.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (32 days) in the period of the last 5 years, the average days under water of 227 days of Vanguard Total International Stock Index Fund is greater, thus worse.
- Looking at average time in days below previous high water mark in of 51 days in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (25 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 Total International 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.