Vanguard Emerging Markets Stock Index Fund Investor Shares

'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.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (66.2%) in the period of the last 5 years, the total return of 13.5% of Vanguard Emerging Markets Stock Index Fund is lower, thus worse.
- During the last 3 years, the total return is 8.9%, which is lower, thus worse than the value of 36.8% from the benchmark.

'Compound annual growth rate (CAGR) is a business and investing specific term for the geometric progression ratio that provides a constant rate of return over the time period. CAGR is not an accounting term, but it is often used to describe some element of the business, for example revenue, units delivered, registered users, etc. CAGR dampens the effect of volatility of periodic returns that can render arithmetic means irrelevant. It is particularly useful to compare growth rates from various data sets of common domain such as revenue growth of companies in the same industry.'

Applying this definition to our asset in some examples:- The annual performance (CAGR) over 5 years of Vanguard Emerging Markets Stock Index Fund is 2.6%, which is lower, thus worse compared to the benchmark SPY (10.7%) in the same period.
- During the last 3 years, the annual return (CAGR) is 2.9%, which is smaller, thus worse than the value of 11% from the benchmark.

'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.'

Applying this definition to our asset in some examples:- The historical 30 days volatility over 5 years of Vanguard Emerging Markets Stock Index Fund is 18.2%, which is lower, thus better compared to the benchmark SPY (19%) in the same period.
- Looking at 30 days standard deviation in of 19.1% in the period of the last 3 years, we see it is relatively lower, thus better in comparison to SPY (22%).

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

Applying this definition to our asset in some examples:- The downside risk over 5 years of Vanguard Emerging Markets Stock Index Fund is 13.8%, which is smaller, thus better compared to the benchmark SPY (13.9%) in the same period.
- During the last 3 years, the downside deviation is 14.6%, which is lower, thus better than the value of 16.1% from the benchmark.

'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.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (0.43) in the period of the last 5 years, the Sharpe Ratio of 0 of Vanguard Emerging Markets Stock Index Fund is smaller, thus worse.
- Compared with SPY (0.39) in the period of the last 3 years, the risk / return profile (Sharpe) of 0.02 is lower, thus worse.

'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.'

Using this definition on our asset we see for example:- The ratio of annual return and downside deviation over 5 years of Vanguard Emerging Markets Stock Index Fund is 0, which is smaller, thus worse compared to the benchmark SPY (0.59) in the same period.
- Looking at excess return divided by the downside deviation in of 0.03 in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (0.53).

'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.'

Which means for our asset as example:- Looking at the Ulcer Ratio of 14 in the last 5 years of Vanguard Emerging Markets Stock Index Fund, we see it is relatively higher, thus worse in comparison to the benchmark SPY (5.9 )
- Compared with SPY (6.98 ) in the period of the last 3 years, the Downside risk index of 15 is larger, thus worse.

'Maximum drawdown measures the loss in any losing period during a fund’s investment record. It is defined as the percent retrenchment from a fund’s peak value to the fund’s valley value. The drawdown is in effect from the time the fund’s retrenchment begins until a new fund high is reached. The maximum drawdown encompasses both the period from the fund’s peak to the fund’s valley (length), and the time from the fund’s valley to a new fund high (recovery). It measures the largest percentage drawdown that has occurred in any fund’s data record.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (-33.7 days) in the period of the last 5 years, the maximum DrawDown of -36.3 days of Vanguard Emerging Markets Stock Index Fund is smaller, thus worse.
- During the last 3 years, the maximum DrawDown is -36.3 days, which is lower, thus worse than the value of -33.7 days from the benchmark.

'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.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (187 days) in the period of the last 5 years, the maximum days under water of 612 days of Vanguard Emerging Markets Stock Index Fund is larger, thus worse.
- Compared with SPY (139 days) in the period of the last 3 years, the maximum time in days below previous high water mark of 612 days is larger, thus worse.

'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.'

Using this definition on our asset we see for example:- Looking at the average days under water of 229 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 (44 days)
- During the last 3 years, the average days under water is 267 days, which is greater, thus worse than the value of 41 days from the benchmark.

Historical returns have been extended using synthetic data.
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- Note that yearly returns do not equal the sum of monthly returns due to compounding.
- Performance results of Vanguard Emerging Markets Stock Index Fund are hypothetical, do not account for slippage, fees or taxes, and are based on backtesting, which has many inherent limitations, some of which are described in our Terms of Use.