Vanguard Total International Stock Index Fund (VGTSX)

TotalReturn:

'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 investment’s overall performance.'

• Compared with the benchmark SPY (89.4%) in the period of the last 5 years, the total return, or increase in value of 51.8% of Vanguard Total International Stock Index Fund is smaller, thus worse.
• Compared with SPY (76.1%) in the period of the last 3 years, the total return of 66% 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 (13.7%) in the period of the last 5 years, the compounded annual growth rate (CAGR) of 8.7% of Vanguard Total International Stock Index Fund is lower, thus worse.
• During the last 3 years, the compounded annual growth rate (CAGR) is 18.5%, which is lower, thus worse than the value of 20.9% 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 14.6% 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 (17.1%)
• During the last 3 years, the 30 days standard deviation is 12.9%, which is lower, thus better than the value of 15.2% from the benchmark.

DownVol:

'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.'

• Compared with the benchmark SPY (11.8%) in the period of the last 5 years, the downside deviation of 10.1% of Vanguard Total International Stock Index Fund is lower, thus better.
• During the last 3 years, the downside deviation is 8.9%, which is lower, thus better than the value of 10.2% from the benchmark.

Sharpe:

'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.'

• Looking at the risk / return profile (Sharpe) of 0.43 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 (0.65)
• Looking at Sharpe Ratio in of 1.24 in the period of the last 3 years, we see it is relatively greater, thus better in comparison to SPY (1.21).

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.'

• Looking at the ratio of annual return and downside deviation of 0.62 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 (0.95)
• Looking at excess return divided by the downside deviation in of 1.81 in the period of the last 3 years, we see it is relatively larger, thus better in comparison to SPY (1.81).

Ulcer:

'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.'

• The Ulcer Index over 5 years of Vanguard Total International Stock Index Fund is 10 , which is greater, thus worse compared to the benchmark SPY (8.42 ) in the same period.
• Compared with SPY (3.42 ) in the period of the last 3 years, the Downside risk index of 3.55 is larger, thus worse.

MaxDD:

'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.'

• The maximum DrawDown 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.
• During the last 3 years, the maximum reduction from previous high is -13.1 days, which is higher, thus better than the value of -18.8 days from the benchmark.

MaxDuration:

'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'

• The maximum days below previous high over 5 years of Vanguard Total International Stock Index Fund is 734 days, which is larger, thus worse compared to the benchmark SPY (488 days) in the same period.
• Compared with SPY (87 days) in the period of the last 3 years, the maximum time in days below previous high water mark of 117 days is higher, thus worse.

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 days below previous high of 241 days of Vanguard Total International Stock Index Fund is larger, thus worse.
• Compared with SPY (19 days) in the period of the last 3 years, the average days under water of 25 days is larger, thus worse.