'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.'

Which means for our asset as example:- The total return, or performance over 5 years of Vanguard Extended Market Index Fund is 150%, which is greater, thus better compared to the benchmark SPY (122.1%) in the same period.
- During the last 3 years, the total return, or increase in value is 58.1%, which is higher, thus better than the value of 43.5% from the benchmark.

'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.'

Which means for our asset as example:- Looking at the compounded annual growth rate (CAGR) of 20.2% in the last 5 years of Vanguard Extended Market Index Fund, we see it is relatively higher, thus better in comparison to the benchmark SPY (17.3%)
- Looking at annual return (CAGR) in of 16.5% in the period of the last 3 years, we see it is relatively greater, thus better in comparison to SPY (12.8%).

'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.'

Using this definition on our asset we see for example:- Looking at the 30 days standard deviation of 22.1% 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 (18.8%)
- During the last 3 years, the historical 30 days volatility is 26.4%, which is larger, thus worse than the value of 22.9% from the benchmark.

'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.'

Using this definition on our asset we see for example:- Looking at the downside risk of 16.3% 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 (13.6%)
- Looking at downside risk in of 19.7% in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (16.8%).

'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 (0.79) in the period of the last 5 years, the Sharpe Ratio of 0.8 of Vanguard Extended Market Index Fund is higher, thus better.
- Looking at Sharpe Ratio in of 0.53 in the period of the last 3 years, we see it is relatively higher, thus better in comparison to SPY (0.45).

'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.'

Using this definition on our asset we see for example:- Looking at the ratio of annual return and downside deviation of 1.08 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 (1.09)
- During the last 3 years, the ratio of annual return and downside deviation is 0.71, which is larger, thus better than the value of 0.61 from the benchmark.

'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 7.68 , which is higher, thus worse compared to the benchmark SPY (5.59 ) in the same period.
- Looking at Ulcer Index in of 9.79 in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (7.15 ).

'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:- Looking at the maximum drop from peak to valley of -41.6 days 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 (-33.7 days)
- Looking at maximum DrawDown in of -41.6 days in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (-33.7 days).

'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'

Which means for our asset as example:- Looking at the maximum days under water of 309 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 (139 days)
- Looking at maximum days under water in of 309 days in the period of the last 3 years, we see it is relatively greater, 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.'

Which means for our asset as example:- Compared with the benchmark SPY (33 days) in the period of the last 5 years, the average time in days below previous high water mark of 61 days of Vanguard Extended Market Index Fund is greater, thus worse.
- Looking at average time in days below previous high water mark in of 91 days in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (45 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.