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 (95.7%) in the period of the last 5 years, the total return of 46.4% of Vanguard Total International Stock Index Fund is lower, thus worse.
• During the last 3 years, the total return, or increase in value is 55%, which is smaller, thus worse than the value of 81.1% from the benchmark.

CAGR:

'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.'

• The annual performance (CAGR) over 5 years of Vanguard Total International Stock Index Fund is 8%, which is lower, thus worse compared to the benchmark SPY (14.4%) in the same period.
• Compared with SPY (22.1%) in the period of the last 3 years, the compounded annual growth rate (CAGR) of 15.8% is smaller, thus worse.

Volatility:

'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.'

• Compared with the benchmark SPY (17.1%) in the period of the last 5 years, the historical 30 days volatility of 14.6% of Vanguard Total International Stock Index Fund is lower, thus better.
• During the last 3 years, the 30 days standard deviation is 12.8%, which is smaller, thus better than the value of 15.3% from the benchmark.

DownVol:

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

• The downside volatility over 5 years of Vanguard Total International Stock Index Fund is 10.1%, which is lower, thus better compared to the benchmark SPY (11.8%) in the same period.
• Compared with SPY (10.2%) in the period of the last 3 years, the downside volatility of 8.8% 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 ratio of return and volatility (Sharpe) over 5 years of Vanguard Total International Stock Index Fund is 0.37, which is lower, thus worse compared to the benchmark SPY (0.7) in the same period.
• During the last 3 years, the Sharpe Ratio is 1.04, which is lower, thus worse than the value of 1.28 from the benchmark.

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 0.54 in the last 5 years of Vanguard Total International Stock Index Fund, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (1.01)
• During the last 3 years, the excess return divided by the downside deviation is 1.51, which is lower, thus worse than the value of 1.92 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.'

• Looking at the Ulcer Ratio of 10 in the last 5 years of Vanguard Total International Stock Index Fund, we see it is relatively higher, thus worse in comparison to the benchmark SPY (8.42 )
• Compared with SPY (3.52 ) in the period of the last 3 years, the Downside risk index of 3.67 is higher, 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.'

• Compared with the benchmark SPY (-24.5 days) in the period of the last 5 years, the maximum reduction from previous high of -29.6 days of Vanguard Total International Stock Index Fund is lower, thus worse.
• Compared with SPY (-18.8 days) in the period of the last 3 years, the maximum drop from peak to valley of -13.1 days is higher, thus better.

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) in days.'

• The maximum time in days below previous high water mark over 5 years of Vanguard Total International Stock Index Fund is 734 days, which is greater, 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 days under water of 117 days is larger, 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.'

• The average days below previous high over 5 years of Vanguard Total International Stock Index Fund is 241 days, which is higher, thus worse compared to the benchmark SPY (120 days) in the same period.
• Compared with SPY (21 days) in the period of the last 3 years, the average days under water of 30 days is higher, thus worse.