Vanguard Extended Market Index Fund Investor Shares

'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.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (77.4%) in the period of the last 5 years, the total return, or increase in value of 53.1% of Vanguard Extended Market Index Fund is lower, thus worse.
- During the last 3 years, the total return is 30.5%, which is smaller, thus worse than the value of 43.3% 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:- Looking at the annual return (CAGR) of 8.9% in the last 5 years of Vanguard Extended Market Index Fund, we see it is relatively lower, thus worse in comparison to the benchmark SPY (12.1%)
- Compared with SPY (12.7%) in the period of the last 3 years, the annual performance (CAGR) of 9.3% is smaller, thus worse.

'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.'

Which means for our asset as example:- The historical 30 days volatility over 5 years of Vanguard Extended Market Index Fund is 22.1%, which is higher, thus worse compared to the benchmark SPY (19%) in the same period.
- Looking at 30 days standard deviation in of 25.5% in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (22%).

'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.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (13.9%) in the period of the last 5 years, the downside volatility of 16.5% of Vanguard Extended Market Index Fund is greater, thus worse.
- Compared with SPY (16.2%) in the period of the last 3 years, the downside deviation of 19.2% is higher, thus worse.

'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.'

Using this definition on our asset we see for example:- The Sharpe Ratio over 5 years of Vanguard Extended Market Index Fund is 0.29, which is smaller, thus worse compared to the benchmark SPY (0.51) in the same period.
- During the last 3 years, the ratio of return and volatility (Sharpe) is 0.27, which is smaller, thus worse than the value of 0.46 from the benchmark.

'The Sortino ratio measures the risk-adjusted return of an investment asset, portfolio, or strategy. It is a modification of the Sharpe ratio but penalizes only those returns falling below a user-specified target or required rate of return, while the Sharpe ratio penalizes both upside and downside volatility equally. Though both ratios measure an investment's risk-adjusted return, they do so in significantly different ways that will frequently lead to differing conclusions as to the true nature of the investment's return-generating efficiency. The Sortino ratio is used as a way to compare the risk-adjusted performance of programs with differing risk and return profiles. In general, risk-adjusted returns seek to normalize the risk across programs and then see which has the higher return unit per risk.'

Applying this definition to our asset in some examples:- Looking at the excess return divided by the downside deviation of 0.39 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 (0.7)
- Looking at ratio of annual return and downside deviation in of 0.35 in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (0.63).

'The Ulcer Index is a technical indicator that measures downside risk, in terms of both the depth and duration of price declines. The index increases in value as the price moves farther away from a recent high and falls as the price rises to new highs. The indicator is usually calculated over a 14-day period, with the Ulcer Index showing the percentage drawdown a trader can expect from the high over that period. The greater the value of the Ulcer Index, the longer it takes for a stock to get back to the former high.'

Which means for our asset as example:- Compared with the benchmark SPY (5.87 ) in the period of the last 5 years, the Ulcer Index of 8.63 of Vanguard Extended Market Index Fund is greater, thus worse.
- Looking at Downside risk index in of 9.72 in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (7.01 ).

'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.'

Which means for our asset as example:- Compared with the benchmark SPY (-33.7 days) in the period of the last 5 years, the maximum drop from peak to valley of -41.6 days of Vanguard Extended Market Index Fund is lower, thus worse.
- Compared with SPY (-33.7 days) in the period of the last 3 years, the maximum reduction from previous high 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) in days.'

Applying this definition to our asset in some examples:- The maximum time in days below previous high water mark over 5 years of Vanguard Extended Market Index Fund is 309 days, which is larger, thus worse compared to the benchmark SPY (139 days) in the same period.
- Compared with SPY (139 days) in the period of the last 3 years, the maximum time in days below previous high water mark of 309 days is greater, 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:- Compared with the benchmark SPY (37 days) in the period of the last 5 years, the average days under water of 81 days of Vanguard Extended Market Index Fund is larger, thus worse.
- Compared with SPY (45 days) in the period of the last 3 years, the average days under water of 88 days is larger, thus worse.

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.