Vanguard Emerging Markets Stock Index Fund (VEIEX)

TotalReturn:

'The total return on a portfolio of investments takes into account not only the capital appreciation on the portfolio, but also the income received on the portfolio. The income typically consists of interest, dividends, and securities lending fees. This contrasts with the price return, which takes into account only the capital gain on an investment.'

• Compared with the benchmark SPY (87.4%) in the period of the last 5 years, the total return, or performance of 8.5% of Vanguard Emerging Markets Stock Index Fund is smaller, thus worse.
• During the last 3 years, the total return is -14.3%, which is lower, thus worse than the value of 25.4% 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 1.6%, which is lower, thus worse compared to the benchmark SPY (13.4%) in the same period.
• Looking at annual return (CAGR) in of -5% in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (7.8%).

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.'

• The volatility over 5 years of Vanguard Emerging Markets Stock Index Fund is 18.5%, which is lower, thus better compared to the benchmark SPY (20.9%) in the same period.
• During the last 3 years, the volatility is 15.6%, which is smaller, thus better than the value of 17.3% 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.'

• Looking at the downside deviation of 13.6% 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 (15%)
• Compared with SPY (12.1%) in the period of the last 3 years, the downside deviation of 11.1% is lower, thus better.

Sharpe:

'The Sharpe ratio is the measure of risk-adjusted return of a financial portfolio. Sharpe ratio is a measure of excess portfolio return over the risk-free rate relative to its standard deviation. Normally, the 90-day Treasury bill rate is taken as the proxy for risk-free rate. A portfolio with a higher Sharpe ratio is considered superior relative to its peers. The measure was named after William F Sharpe, a Nobel laureate and professor of finance, emeritus at Stanford University.'

• The risk / return profile (Sharpe) over 5 years of Vanguard Emerging Markets Stock Index Fund is -0.05, which is smaller, thus worse compared to the benchmark SPY (0.52) in the same period.
• During the last 3 years, the ratio of return and volatility (Sharpe) is -0.48, which is lower, thus worse than the value of 0.31 from the benchmark.

Sortino:

'The Sortino ratio, a variation of the Sharpe ratio only factors in the downside, or negative volatility, rather than the total volatility used in calculating the Sharpe ratio. The theory behind the Sortino variation is that upside volatility is a plus for the investment, and it, therefore, should not be included in the risk calculation. Therefore, the Sortino ratio takes upside volatility out of the equation and uses only the downside standard deviation in its calculation instead of the total standard deviation that is used in calculating the Sharpe ratio.'

• Looking at the excess return divided by the downside deviation of -0.06 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 (0.73)
• During the last 3 years, the excess return divided by the downside deviation is -0.68, which is smaller, thus worse than the value of 0.44 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 Emerging Markets Stock Index Fund is 17 , which is greater, thus worse compared to the benchmark SPY (9.33 ) in the same period.
• Looking at Downside risk index in of 19 in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (10 ).

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 Emerging Markets Stock Index Fund is -34.3 days, which is lower, thus worse compared to the benchmark SPY (-33.7 days) in the same period.
• During the last 3 years, the maximum reduction from previous high is -32.7 days, which is lower, thus worse than the value of -24.5 days from the benchmark.

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 days under water of 796 days of Vanguard Emerging Markets Stock Index Fund is higher, thus worse.
• Looking at maximum days below previous high in of 723 days in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (488 days).

AveDuration:

'The Drawdown Duration is the length of any peak to peak period, or the time between new equity highs. 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 (123 days) in the period of the last 5 years, the average time in days below previous high water mark of 285 days of Vanguard Emerging Markets Stock Index Fund is greater, thus worse.
• Looking at average time in days below previous high water mark in of 350 days in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (179 days).