'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.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (129.1%) in the period of the last 5 years, the total return of 103.5% of Vanguard Small Cap Index Fund is smaller, thus worse.
- Compared with SPY (71.3%) in the period of the last 3 years, the total return, or performance of 57% is lower, thus worse.

'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 15.3% in the last 5 years of Vanguard Small Cap Index Fund, we see it is relatively lower, thus worse in comparison to the benchmark SPY (18.1%)
- During the last 3 years, the annual performance (CAGR) is 16.2%, which is lower, thus worse than the value of 19.7% from the benchmark.

'Volatility is a rate at which the price of a security increases or decreases for a given set of returns. Volatility is measured by calculating the standard deviation of the annualized returns over a given period of time. It shows the range to which the price of a security may increase or decrease. Volatility measures the risk of a security. It is used in option pricing formula to gauge the fluctuations in the returns of the underlying assets. Volatility indicates the pricing behavior of the security and helps estimate the fluctuations that may happen in a short period of time.'

Which means for our asset as example:- Compared with the benchmark SPY (18.7%) in the period of the last 5 years, the historical 30 days volatility of 22.4% of Vanguard Small Cap Index Fund is larger, thus worse.
- Looking at 30 days standard deviation in of 27.2% in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (22.5%).

'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.'

Which means for our asset as example:- The downside risk over 5 years of Vanguard Small Cap Index Fund is 16.4%, which is larger, thus worse compared to the benchmark SPY (13.6%) in the same period.
- During the last 3 years, the downside deviation is 20%, which is larger, thus worse than the value of 16.3% from the benchmark.

'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:- Compared with the benchmark SPY (0.83) in the period of the last 5 years, the Sharpe Ratio of 0.57 of Vanguard Small Cap Index Fund is smaller, thus worse.
- During the last 3 years, the Sharpe Ratio is 0.51, which is lower, thus worse than the value of 0.76 from the benchmark.

'The Sortino ratio, a variation of the Sharpe ratio only factors in the downside, or negative volatility, rather than the total volatility used in calculating the Sharpe ratio. The theory behind the Sortino variation is that upside volatility is a plus for the investment, and it, therefore, should not be included in the risk calculation. Therefore, the Sortino ratio takes upside volatility out of the equation and uses only the downside standard deviation in its calculation instead of the total standard deviation that is used in calculating the Sharpe ratio.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (1.15) in the period of the last 5 years, the excess return divided by the downside deviation of 0.78 of Vanguard Small Cap Index Fund is lower, thus worse.
- Looking at ratio of annual return and downside deviation in of 0.69 in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (1.05).

'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:- The Downside risk index over 5 years of Vanguard Small Cap Index Fund is 8.12 , which is larger, thus worse compared to the benchmark SPY (5.59 ) in the same period.
- Looking at Ulcer Index in of 9.33 in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (6.38 ).

'A maximum drawdown is the maximum loss from a peak to a trough of a portfolio, before a new peak is attained. Maximum Drawdown is an indicator of downside risk over a specified time period. It can be used both as a stand-alone measure or as an input into other metrics such as 'Return over Maximum Drawdown' and the Calmar Ratio. Maximum Drawdown is expressed in percentage terms.'

Using this definition on our asset we see for example:- The maximum DrawDown over 5 years of Vanguard Small Cap Index Fund is -41.8 days, which is lower, thus worse compared to the benchmark SPY (-33.7 days) in the same period.
- Compared with SPY (-33.7 days) in the period of the last 3 years, the maximum drop from peak to valley of -41.8 days is smaller, 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.'

Which means for our asset as example:- Compared with the benchmark SPY (139 days) in the period of the last 5 years, the maximum days under water of 312 days of Vanguard Small Cap Index Fund is higher, thus worse.
- During the last 3 years, the maximum days below previous high is 181 days, which is higher, thus worse than the value of 119 days from the benchmark.

'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 (32 days) in the period of the last 5 years, the average days under water of 68 days of Vanguard Small Cap Index Fund is greater, thus worse.
- Looking at average days under water in of 41 days in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (25 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 Small Cap 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.