'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 over 5 years of Vanguard Value Index Fund is 43.8%, which is lower, thus worse compared to the benchmark SPY (77.4%) in the same period.
- Looking at total return, or increase in value in of 16.4% in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (43.3%).

'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:- The compounded annual growth rate (CAGR) over 5 years of Vanguard Value Index Fund is 7.5%, which is smaller, thus worse compared to the benchmark SPY (12.1%) in the same period.
- During the last 3 years, the annual return (CAGR) is 5.2%, which is smaller, thus worse than the value of 12.7% 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.'

Applying this definition to our asset in some examples:- Looking at the historical 30 days volatility of 19.4% in the last 5 years of Vanguard Value Index Fund, we see it is relatively greater, thus worse in comparison to the benchmark SPY (19%)
- During the last 3 years, the 30 days standard deviation is 22.6%, which is larger, thus worse than the value of 22% 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:- Compared with the benchmark SPY (13.9%) in the period of the last 5 years, the downside risk of 14.2% of Vanguard Value Index Fund is larger, thus worse.
- Compared with SPY (16.2%) in the period of the last 3 years, the downside risk of 16.7% is larger, 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.'

Which means for our asset as example:- Looking at the ratio of return and volatility (Sharpe) of 0.26 in the last 5 years of Vanguard Value Index Fund, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (0.51)
- Looking at risk / return profile (Sharpe) in of 0.12 in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (0.46).

'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.'

Which means for our asset as example:- Looking at the ratio of annual return and downside deviation of 0.35 in the last 5 years of Vanguard Value Index Fund, we see it is relatively lower, thus worse in comparison to the benchmark SPY (0.7)
- Compared with SPY (0.63) in the period of the last 3 years, the excess return divided by the downside deviation of 0.16 is lower, 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.'

Applying this definition to our asset in some examples:- Looking at the Ulcer Index of 6.93 in the last 5 years of Vanguard Value Index Fund, we see it is relatively larger, thus worse in comparison to the benchmark SPY (5.87 )
- Compared with SPY (7.01 ) in the period of the last 3 years, the Downside risk index of 8.48 is higher, thus worse.

'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:- Looking at the maximum reduction from previous high of -36.8 days in the last 5 years of Vanguard Value Index Fund, we see it is relatively lower, thus worse in comparison to the benchmark SPY (-33.7 days)
- Compared with SPY (-33.7 days) in the period of the last 3 years, the maximum DrawDown of -36.8 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.'

Using this definition on our asset we see for example:- Looking at the maximum days below previous high of 169 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 (139 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 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.'

Using this definition on our asset we see for example:- The average days below previous high over 5 years of Vanguard Value Index Fund is 51 days, which is higher, thus worse compared to the benchmark SPY (37 days) in the same period.
- During the last 3 years, the average days below previous high is 56 days, which is greater, thus worse than the value of 45 days from the benchmark.

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.