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:- Looking at the total return, or performance of 33.3% 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 (59.9%)
- During the last 3 years, the total return, or increase in value is 19.7%, which is lower, thus worse than the value of 34.2% from the benchmark.

'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.'

Which means for our asset as example:- Compared with the benchmark SPY (9.8%) in the period of the last 5 years, the compounded annual growth rate (CAGR) of 5.9% of Vanguard Extended Market Index Fund is smaller, thus worse.
- During the last 3 years, the compounded annual growth rate (CAGR) is 6.2%, which is lower, thus worse than the value of 10.3% 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:- Looking at the 30 days standard deviation of 21.5% in the last 5 years of Vanguard Extended Market Index Fund, we see it is relatively greater, thus worse in comparison to the benchmark SPY (18.7%)
- During the last 3 years, the volatility is 24.6%, which is larger, thus worse than the value of 21.5% from the benchmark.

'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:- Compared with the benchmark SPY (13.6%) in the period of the last 5 years, the downside deviation of 16.1% of Vanguard Extended Market Index Fund is greater, thus worse.
- Looking at downside volatility in of 18.6% in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (15.7%).

'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.'

Applying this definition to our asset in some examples:- The Sharpe Ratio over 5 years of Vanguard Extended Market Index Fund is 0.16, which is lower, thus worse compared to the benchmark SPY (0.39) in the same period.
- Looking at risk / return profile (Sharpe) in of 0.15 in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (0.36).

'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:- Compared with the benchmark SPY (0.54) in the period of the last 5 years, the downside risk / excess return profile of 0.21 of Vanguard Extended Market Index Fund is lower, thus worse.
- Looking at ratio of annual return and downside deviation in of 0.2 in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (0.5).

'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.'

Applying this definition to our asset in some examples:- Looking at the Ulcer Index of 9.16 in the last 5 years of Vanguard Extended Market Index Fund, we see it is relatively greater, thus worse in comparison to the benchmark SPY (5.81 )
- During the last 3 years, the Ulcer Index is 9.49 , which is larger, thus worse than the value of 6.86 from the benchmark.

'A maximum drawdown is the maximum loss from a peak to a trough of a portfolio, before a new peak is attained. Maximum Drawdown is an indicator of downside risk over a specified time period. It can be used both as a stand-alone measure or as an input into other metrics such as 'Return over Maximum Drawdown' and the Calmar Ratio. Maximum Drawdown is expressed in percentage terms.'

Applying this definition to our asset in some examples:- The maximum drop from peak to valley over 5 years of Vanguard Extended Market Index Fund is -41.6 days, which is lower, thus worse compared to the benchmark SPY (-33.7 days) in the same period.
- Compared with SPY (-33.7 days) in the period of the last 3 years, the maximum DrawDown of -41.6 days is lower, thus worse.

'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'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (187 days) in the period of the last 5 years, the maximum days below previous high of 352 days of Vanguard Extended Market Index Fund is larger, thus worse.
- Looking at maximum days below previous high in of 309 days in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (139 days).

'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.'

Applying this definition to our asset in some examples:- Looking at the average time in days below previous high water mark of 104 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 (43 days)
- Looking at average days below previous high in of 83 days in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (39 days).

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.