'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.'

Applying this definition to our asset in some examples:- Looking at the total return, or performance of % in the last 5 years of Vanguard Value Index Fund, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (68.6%)
- Looking at total return in of % in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (51%).

'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:- The compounded annual growth rate (CAGR) over 5 years of Vanguard Value Index Fund is %, which is smaller, thus worse compared to the benchmark SPY (11%) in the same period.
- Compared with SPY (14.8%) in the period of the last 3 years, the compounded annual growth rate (CAGR) of % is lower, thus worse.

'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:- The historical 30 days volatility over 5 years of Vanguard Value Index Fund is %, which is lower, thus better compared to the benchmark SPY (13.5%) in the same period.
- During the last 3 years, the volatility is %, which is smaller, thus better than the value of 12.8% from the benchmark.

'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 volatility of % in the last 5 years of Vanguard Value Index Fund, we see it is relatively lower, thus better in comparison to the benchmark SPY (14.9%)
- Compared with SPY (14.7%) in the period of the last 3 years, the downside risk of % is lower, thus better.

'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.'

Using this definition on our asset we see for example:- The Sharpe Ratio over 5 years of Vanguard Value Index Fund is , which is lower, thus worse compared to the benchmark SPY (0.63) in the same period.
- During the last 3 years, the risk / return profile (Sharpe) is , which is smaller, thus worse than the value of 0.96 from the benchmark.

'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.'

Which means for our asset as example:- Looking at the downside risk / excess return profile of in the last 5 years of Vanguard Value Index Fund, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (0.57)
- Compared with SPY (0.83) in the period of the last 3 years, the excess return divided by the downside deviation of is lower, thus worse.

'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:- The Downside risk index over 5 years of Vanguard Value Index Fund is , which is lower, thus better compared to the benchmark SPY (3.99 ) in the same period.
- Looking at Downside risk index in of in the period of the last 3 years, we see it is relatively lower, thus better in comparison to SPY (4.1 ).

'Maximum drawdown is defined as the peak-to-trough decline of an investment during a specific period. It is usually quoted as a percentage of the peak value. The maximum drawdown can be calculated based on absolute returns, in order to identify strategies that suffer less during market downturns, such as low-volatility strategies. However, the maximum drawdown can also be calculated based on returns relative to a benchmark index, for identifying strategies that show steady outperformance over time.'

Which means for our asset as example:- Looking at the maximum reduction from previous high of days in the last 5 years of Vanguard Value Index Fund, we see it is relatively greater, thus better in comparison to the benchmark SPY (-19.3 days)
- Looking at maximum DrawDown in of days in the period of the last 3 years, we see it is relatively larger, thus better in comparison to SPY (-19.3 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:- The maximum time in days below previous high water mark over 5 years of Vanguard Value Index Fund is days, which is lower, thus better compared to the benchmark SPY (187 days) in the same period.
- Looking at maximum time in days below previous high water mark in of days in the period of the last 3 years, we see it is relatively smaller, thus better 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.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (42 days) in the period of the last 5 years, the average days below previous high of days of Vanguard Value Index Fund is lower, thus better.
- Looking at average days below previous high in of days in the period of the last 3 years, we see it is relatively lower, thus better in comparison to SPY (36 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 Value 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.