Vanguard Emerging Markets Stock Index Fund (VEIEX)

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, or increase in value of 36.5% in the last 5 years of Vanguard Emerging Markets Stock Index Fund, we see it is relatively lower, thus worse in comparison to the benchmark SPY (109.7%)
• During the last 3 years, the total return, or performance is 38.1%, which is lower, thus worse than the value of 70.1% 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 compounded annual growth rate (CAGR) over 5 years of Vanguard Emerging Markets Stock Index Fund is 6.4%, which is lower, thus worse compared to the benchmark SPY (16%) in the same period.
• Looking at annual return (CAGR) in of 11.4% in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (19.5%).

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 30 days standard deviation of 15.7% in the last 5 years of Vanguard Emerging Markets Stock Index Fund, we see it is relatively lower, thus better in comparison to the benchmark SPY (17.5%)
• Compared with SPY (17.4%) in the period of the last 3 years, the 30 days standard deviation of 14.3% is lower, thus better.

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 Emerging Markets Stock Index Fund is 10.9%, which is lower, thus better compared to the benchmark SPY (12.1%) in the same period.
• Looking at downside deviation in of 9.8% in the period of the last 3 years, we see it is relatively lower, thus better in comparison to SPY (11.5%).

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 Emerging Markets Stock Index Fund is 0.25, which is smaller, thus worse compared to the benchmark SPY (0.77) in the same period.
• During the last 3 years, the Sharpe Ratio is 0.62, which is smaller, thus worse than the value of 0.97 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 excess return divided by the downside deviation of 0.36 in the last 5 years of Vanguard Emerging Markets Stock Index Fund, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (1.12)
• Looking at ratio of annual return and downside deviation in of 0.91 in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (1.47).

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.'

• Compared with the benchmark SPY (8.48 ) in the period of the last 5 years, the Downside risk index of 17 of Vanguard Emerging Markets Stock Index Fund is larger, thus worse.
• During the last 3 years, the Ulcer Index is 5.72 , which is higher, thus worse than the value of 5.3 from the benchmark.

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 reduction from previous high of -34.3 days in the last 5 years of Vanguard Emerging Markets Stock Index Fund, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (-24.5 days)
• During the last 3 years, the maximum reduction from previous high is -15.8 days, which is greater, 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'

• Looking at the maximum time in days below previous high water mark of 1097 days in the last 5 years of Vanguard Emerging Markets Stock Index Fund, we see it is relatively larger, thus worse in comparison to the benchmark SPY (488 days)
• Compared with SPY (199 days) in the period of the last 3 years, the maximum time in days below previous high water mark of 164 days is smaller, thus better.

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 days under water of 501 days in the last 5 years of Vanguard Emerging Markets Stock Index Fund, we see it is relatively greater, thus worse in comparison to the benchmark SPY (120 days)
• Looking at average days below previous high in of 58 days in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (47 days).