Vanguard Extended Market Index Fund Investor Shares

'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.'

Applying this definition to our asset in some examples:- The total return over 5 years of Vanguard Extended Market Index Fund is 48.1%, which is smaller, thus worse compared to the benchmark SPY (67.1%) in the same period.
- Compared with SPY (51.3%) in the period of the last 3 years, the total return, or increase in value of 37% is lower, thus worse.

'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.'

Applying this definition to our asset in some examples:- Looking at the annual return (CAGR) of 8.2% in the last 5 years of Vanguard Extended Market Index Fund, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (10.8%)
- During the last 3 years, the compounded annual growth rate (CAGR) is 11.1%, which is lower, thus worse than the value of 14.8% 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.'

Which means for our asset as example:- Compared with the benchmark SPY (13.5%) in the period of the last 5 years, the historical 30 days volatility of 15.1% of Vanguard Extended Market Index Fund is greater, thus worse.
- Looking at volatility in of 14.3% in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (12.8%).

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

Using this definition on our asset we see for example:- Looking at the downside deviation of 16.6% in the last 5 years of Vanguard Extended Market Index Fund, we see it is relatively larger, thus worse in comparison to the benchmark SPY (14.8%)
- Compared with SPY (14.7%) in the period of the last 3 years, the downside volatility of 16.1% is larger, thus worse.

'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.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (0.62) in the period of the last 5 years, the risk / return profile (Sharpe) of 0.38 of Vanguard Extended Market Index Fund is lower, thus worse.
- Compared with SPY (0.96) in the period of the last 3 years, the Sharpe Ratio of 0.6 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 excess return divided by the downside deviation over 5 years of Vanguard Extended Market Index Fund is 0.34, which is smaller, thus worse compared to the benchmark SPY (0.56) in the same period.
- Looking at ratio of annual return and downside deviation in of 0.53 in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (0.84).

'The ulcer index is a stock market risk measure or technical analysis indicator devised by Peter Martin in 1987, and published by him and Byron McCann in their 1989 book The Investors Guide to Fidelity Funds. It's designed as a measure of volatility, but only volatility in the downward direction, i.e. the amount of drawdown or retracement occurring over a period. Other volatility measures like standard deviation treat up and down movement equally, but a trader doesn't mind upward movement, it's the downside that causes stress and stomach ulcers that the index's name suggests.'

Applying this definition to our asset in some examples:- The Ulcer Ratio over 5 years of Vanguard Extended Market Index Fund is 7.02 , which is larger, thus worse compared to the benchmark SPY (3.99 ) in the same period.
- Looking at Ulcer Ratio in of 5.68 in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (4.1 ).

'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:- The maximum reduction from previous high over 5 years of Vanguard Extended Market Index Fund is -25 days, which is smaller, thus worse compared to the benchmark SPY (-19.3 days) in the same period.
- During the last 3 years, the maximum DrawDown is -24.7 days, which is lower, thus worse than the value of -19.3 days from the benchmark.

'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.'

Which means for our asset as example:- Looking at the maximum time in days below previous high water mark of 352 days in the last 5 years of Vanguard Extended Market Index Fund, we see it is relatively higher, thus worse in comparison to the benchmark SPY (187 days)
- During the last 3 years, the maximum days below previous high is 301 days, which is larger, thus worse than the value of 139 days from the benchmark.

'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.'

Which means for our asset as example:- The average days below previous high over 5 years of Vanguard Extended Market Index Fund is 100 days, which is larger, thus worse compared to the benchmark SPY (42 days) in the same period.
- During the last 3 years, the average days under water is 77 days, which is larger, thus worse than the value of 36 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 Extended Market 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.