Vanguard Pacific Stock Index Fund (VPACX)

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.'

• Looking at the total return of 48.8% in the last 5 years of Vanguard Pacific Stock Index Fund, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (109.3%)
• During the last 3 years, the total return, or performance is 17.5%, which is smaller, thus worse than the value of 34.3% 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.'

• Compared with the benchmark SPY (16%) in the period of the last 5 years, the compounded annual growth rate (CAGR) of 8.3% of Vanguard Pacific Stock Index Fund is lower, thus worse.
• During the last 3 years, the annual performance (CAGR) is 5.6%, which is lower, thus worse than the value of 10.4% from the benchmark.

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.'

• The volatility over 5 years of Vanguard Pacific Stock Index Fund is 16%, which is lower, thus better compared to the benchmark SPY (18%) in the same period.
• During the last 3 years, the volatility is 16.4%, which is lower, thus better than the value of 18.8% from the benchmark.

DownVol:

'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.'

• The downside volatility over 5 years of Vanguard Pacific Stock Index Fund is 11.1%, which is lower, thus better compared to the benchmark SPY (12.5%) in the same period.
• Compared with SPY (13%) in the period of the last 3 years, the downside volatility of 11.4% is smaller, thus better.

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.'

• The Sharpe Ratio over 5 years of Vanguard Pacific Stock Index Fund is 0.36, which is lower, thus worse compared to the benchmark SPY (0.75) in the same period.
• During the last 3 years, the Sharpe Ratio is 0.19, which is smaller, thus worse than the value of 0.42 from the benchmark.

Sortino:

'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.'

• Looking at the downside risk / excess return profile of 0.52 in the last 5 years of Vanguard Pacific Stock Index Fund, we see it is relatively lower, thus worse in comparison to the benchmark SPY (1.07)
• Looking at downside risk / excess return profile in of 0.27 in the period of the last 3 years, we see it is relatively smaller, thus worse in comparison to SPY (0.6).

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 Pacific Stock Index Fund is 12 , which is greater, thus worse compared to the benchmark SPY (8.45 ) in the same period.
• Compared with SPY (5.75 ) in the period of the last 3 years, the Ulcer Index of 6.27 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.'

• Looking at the maximum drop from peak to valley of -31.3 days in the last 5 years of Vanguard Pacific Stock Index Fund, we see it is relatively lower, thus worse in comparison to the benchmark SPY (-24.5 days)
• Looking at maximum drop from peak to valley in of -18.5 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 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 Pacific Stock Index Fund is 761 days, which is higher, thus worse compared to the benchmark SPY (488 days) in the same period.
• Looking at maximum days under water in of 158 days in the period of the last 3 years, we see it is relatively lower, thus better in comparison to SPY (199 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.'

• Looking at the average time in days below previous high water mark of 258 days in the last 5 years of Vanguard Pacific Stock Index Fund, we see it is relatively larger, thus worse in comparison to the benchmark SPY (118 days)
• During the last 3 years, the average days under water is 51 days, which is larger, thus worse than the value of 45 days from the benchmark.