Vanguard Emerging Markets Stock Index Fund (VEIEX)

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.'

• Looking at the total return, or increase in value of 25.2% 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 (86.2%)
• Compared with SPY (78.3%) in the period of the last 3 years, the total return, or performance of 57.9% is lower, thus worse.

CAGR:

'The compound annual growth rate isn't a true return rate, but rather a representational figure. It is essentially a number that describes the rate at which an investment would have grown if it had grown the same rate every year and the profits were reinvested at the end of each year. In reality, this sort of performance is unlikely. However, CAGR can be used to smooth returns so that they may be more easily understood when compared to alternative investments.'

• The annual return (CAGR) over 5 years of Vanguard Emerging Markets Stock Index Fund is 4.6%, which is smaller, thus worse compared to the benchmark SPY (13.3%) in the same period.
• During the last 3 years, the annual return (CAGR) is 16.5%, which is lower, thus worse than the value of 21.4% from the benchmark.

Volatility:

'In finance, volatility (symbol σ) is the degree of variation of a trading price series over time as measured by the standard deviation of logarithmic returns. Historic volatility measures a time series of past market prices. Implied volatility looks forward in time, being derived from the market price of a market-traded derivative (in particular, an option). Commonly, the higher the volatility, the riskier the security.'

• The 30 days standard deviation over 5 years of Vanguard Emerging Markets Stock Index Fund is 15.5%, which is lower, thus better compared to the benchmark SPY (17.1%) in the same period.
• Compared with SPY (15.2%) in the period of the last 3 years, the 30 days standard deviation of 14.3% is lower, thus better.

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 risk of 10.8% of Vanguard Emerging Markets Stock Index Fund is smaller, thus better.
• Looking at downside volatility in of 9.7% in the period of the last 3 years, we see it is relatively lower, thus better in comparison to SPY (10.2%).

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.'

• Looking at the risk / return profile (Sharpe) of 0.14 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 (0.63)
• During the last 3 years, the Sharpe Ratio is 0.98, which is smaller, thus worse than the value of 1.24 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 ratio of annual return and downside deviation of 0.2 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 (0.91)
• Looking at downside risk / excess return profile in of 1.44 in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (1.85).

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 (8.45 ) in the period of the last 5 years, the Ulcer Ratio of 15 of Vanguard Emerging Markets Stock Index Fund is higher, thus worse.
• Compared with SPY (3.51 ) in the period of the last 3 years, the Ulcer Ratio of 4.47 is greater, 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 drop from peak to valley of -32.7 days of Vanguard Emerging Markets Stock Index Fund is lower, thus worse.
• Compared with SPY (-18.8 days) in the period of the last 3 years, the maximum reduction from previous high of -15.8 days is larger, thus better.

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.'

• The maximum days under water over 5 years of Vanguard Emerging Markets Stock Index Fund is 1001 days, which is higher, thus worse compared to the benchmark SPY (488 days) in the same period.
• During the last 3 years, the maximum days under water is 164 days, which is higher, thus worse than the value of 87 days from the benchmark.

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 419 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 under water in of 45 days in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (20 days).