Vanguard Total International Stock Index Fund (VGTSX)

TotalReturn:

'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.'

• The total return over 5 years of Vanguard Total International Stock Index Fund is 49.9%, which is lower, thus worse compared to the benchmark SPY (84.9%) in the same period.
• Compared with SPY (80.2%) in the period of the last 3 years, the total return of 62.4% is lower, thus worse.

CAGR:

'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.'

• Compared with the benchmark SPY (13.1%) in the period of the last 5 years, the compounded annual growth rate (CAGR) of 8.5% of Vanguard Total International Stock Index Fund is lower, thus worse.
• During the last 3 years, the annual performance (CAGR) is 17.6%, which is smaller, thus worse than the value of 21.8% from the benchmark.

Volatility:

'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.'

• Looking at the historical 30 days volatility of 15% in the last 5 years of Vanguard Total International Stock Index Fund, we see it is relatively smaller, thus better in comparison to the benchmark SPY (17.1%)
• Looking at 30 days standard deviation in of 13.7% in the period of the last 3 years, we see it is relatively lower, thus better in comparison to SPY (15.2%).

DownVol:

'The downside volatility is similar to the volatility, or standard deviation, but only takes losing/negative periods into account.'

• Compared with the benchmark SPY (11.8%) in the period of the last 5 years, the downside deviation of 10.3% of Vanguard Total International Stock Index Fund is lower, thus better.
• Compared with SPY (10.1%) in the period of the last 3 years, the downside deviation of 9.3% is lower, thus better.

Sharpe:

'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.'

• The Sharpe Ratio over 5 years of Vanguard Total International Stock Index Fund is 0.4, which is smaller, thus worse compared to the benchmark SPY (0.62) in the same period.
• Looking at risk / return profile (Sharpe) in of 1.11 in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (1.27).

Sortino:

'The Sortino ratio measures the risk-adjusted return of an investment asset, portfolio, or strategy. It is a modification of the Sharpe ratio but penalizes only those returns falling below a user-specified target or required rate of return, while the Sharpe ratio penalizes both upside and downside volatility equally. Though both ratios measure an investment's risk-adjusted return, they do so in significantly different ways that will frequently lead to differing conclusions as to the true nature of the investment's return-generating efficiency. The Sortino ratio is used as a way to compare the risk-adjusted performance of programs with differing risk and return profiles. In general, risk-adjusted returns seek to normalize the risk across programs and then see which has the higher return unit per risk.'

• Compared with the benchmark SPY (0.9) in the period of the last 5 years, the ratio of annual return and downside deviation of 0.58 of Vanguard Total International Stock Index Fund is lower, thus worse.
• During the last 3 years, the excess return divided by the downside deviation is 1.62, which is lower, thus worse than the value of 1.91 from the benchmark.

Ulcer:

'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.'

• The Ulcer Ratio over 5 years of Vanguard Total International Stock Index Fund is 10 , which is greater, thus worse compared to the benchmark SPY (8.45 ) in the same period.
• Looking at Ulcer Index in of 3.82 in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (3.5 ).

MaxDD:

'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.'

• The maximum reduction from previous high over 5 years of Vanguard Total International Stock Index Fund is -29.6 days, which is lower, thus worse compared to the benchmark SPY (-24.5 days) in the same period.
• Looking at maximum reduction from previous high in of -13.1 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 Maximum Drawdown Duration is an extension of the Maximum Drawdown. However, this metric does not explain the drawdown in dollars or percentages, rather in days, weeks, or months. It is the length of time the account was in the Max Drawdown. A Max Drawdown measures a retrenchment from when an equity curve reaches a new high. It’s the maximum an account lost during that retrenchment. This method is applied because a valley can’t be measured until a new high occurs. Once the new high is reached, the percentage change from the old high to the bottom of the largest trough is recorded.'

• Compared with the benchmark SPY (488 days) in the period of the last 5 years, the maximum time in days below previous high water mark of 734 days of Vanguard Total International Stock Index Fund is larger, thus worse.
• Looking at maximum days below previous high in of 117 days in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (87 days).

AveDuration:

'The Average Drawdown Duration is an extension of the Maximum Drawdown. However, this metric does not explain the drawdown in dollars or percentages, rather in days, weeks, or months. 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.'

• Compared with the benchmark SPY (119 days) in the period of the last 5 years, the average time in days below previous high water mark of 241 days of Vanguard Total International Stock Index Fund is greater, thus worse.
• Compared with SPY (20 days) in the period of the last 3 years, the average time in days below previous high water mark of 26 days is larger, thus worse.