'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:- Compared with the benchmark SPY (77.1%) in the period of the last 5 years, the total return of 59.8% of Vanguard Value Index Fund is lower, thus worse.
- Looking at total return, or performance in of 34.8% in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (51.7%).

'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:- The annual performance (CAGR) over 5 years of Vanguard Value Index Fund is 9.8%, which is lower, thus worse compared to the benchmark SPY (12.1%) in the same period.
- Compared with SPY (14.9%) in the period of the last 3 years, the annual return (CAGR) of 10.5% is smaller, 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.'

Which means for our asset as example:- The historical 30 days volatility over 5 years of Vanguard Value Index Fund is 12.8%, which is lower, thus better compared to the benchmark SPY (13.3%) in the same period.
- During the last 3 years, the volatility is 12%, which is smaller, thus better than the value of 13% from the benchmark.

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

Which means for our asset as example:- Looking at the downside volatility of 9.2% in the last 5 years of Vanguard Value Index Fund, we see it is relatively lower, thus better in comparison to the benchmark SPY (9.6%)
- Looking at downside deviation in of 8.9% in the period of the last 3 years, we see it is relatively smaller, thus better in comparison to SPY (9.4%).

'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:- The Sharpe Ratio over 5 years of Vanguard Value Index Fund is 0.57, which is lower, thus worse compared to the benchmark SPY (0.72) in the same period.
- Compared with SPY (0.96) in the period of the last 3 years, the Sharpe Ratio of 0.66 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.'

Which means for our asset as example:- The downside risk / excess return profile over 5 years of Vanguard Value Index Fund is 0.79, which is smaller, thus worse compared to the benchmark SPY (1) in the same period.
- Compared with SPY (1.32) in the period of the last 3 years, the ratio of annual return and downside deviation of 0.9 is smaller, thus worse.

'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.'

Using this definition on our asset we see for example:- Looking at the Downside risk index of 4.22 in the last 5 years of Vanguard Value Index Fund, we see it is relatively higher, thus worse in comparison to the benchmark SPY (3.97 )
- Looking at Ulcer Index in of 4.2 in the period of the last 3 years, we see it is relatively higher, thus worse 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:- Compared with the benchmark SPY (-19.3 days) in the period of the last 5 years, the maximum DrawDown of -17.5 days of Vanguard Value Index Fund is higher, thus better.
- Looking at maximum drop from peak to valley in of -17.5 days in the period of the last 3 years, we see it is relatively higher, thus better in comparison to SPY (-19.3 days).

'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.'

Using this definition on our asset we see for example:- Looking at the maximum time in days below previous high water mark of 228 days in the last 5 years of Vanguard Value Index Fund, we see it is relatively greater, thus worse in comparison to the benchmark SPY (187 days)
- Looking at maximum time in days below previous high water mark in of 162 days in the period of the last 3 years, we see it is relatively larger, 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 (42 days) in the period of the last 5 years, the average days below previous high of 54 days of Vanguard Value Index Fund is greater, thus worse.
- Looking at average days below previous high in of 47 days in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (37 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.