'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.'

Using this definition on our asset we see for example:- The total return over 5 years of Vanguard Small Cap Index Fund is 36.7%, which is lower, thus worse compared to the benchmark SPY (62.7%) in the same period.
- Looking at total return, or performance in of 24.9% in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (34.7%).

'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.'

Which means for our asset as example:- The compounded annual growth rate (CAGR) over 5 years of Vanguard Small Cap Index Fund is 6.5%, which is smaller, thus worse compared to the benchmark SPY (10.2%) in the same period.
- During the last 3 years, the compounded annual growth rate (CAGR) is 7.7%, which is lower, thus worse than the value of 10.5% from the benchmark.

'In finance, volatility (symbol σ) is the degree of variation of a trading price series over time as measured by the standard deviation of logarithmic returns. Historic volatility measures a time series of past market prices. Implied volatility looks forward in time, being derived from the market price of a market-traded derivative (in particular, an option). Commonly, the higher the volatility, the riskier the security.'

Applying this definition to our asset in some examples:- The historical 30 days volatility over 5 years of Vanguard Small Cap Index Fund is 24.7%, which is greater, thus worse compared to the benchmark SPY (20.9%) in the same period.
- During the last 3 years, the historical 30 days volatility is 29.2%, which is larger, thus worse than the value of 24.1% 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.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (15.3%) in the period of the last 5 years, the downside risk of 18.2% of Vanguard Small Cap Index Fund is greater, thus worse.
- Looking at downside deviation in of 21.5% in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (17.6%).

'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:- Looking at the Sharpe Ratio of 0.16 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 (0.37)
- During the last 3 years, the ratio of return and volatility (Sharpe) is 0.18, which is lower, thus worse than the value of 0.33 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.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (0.51) in the period of the last 5 years, the ratio of annual return and downside deviation of 0.22 of Vanguard Small Cap Index Fund is lower, thus worse.
- Looking at ratio of annual return and downside deviation in of 0.24 in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (0.45).

'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.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (7.71 ) in the period of the last 5 years, the Ulcer Index of 11 of Vanguard Small Cap Index Fund is larger, thus worse.
- During the last 3 years, the Downside risk index is 13 , which is higher, thus worse than the value of 9.08 from the benchmark.

'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.'

Applying this definition to our asset in some examples:- Looking at the maximum DrawDown of -41.8 days in the last 5 years of Vanguard Small Cap Index Fund, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (-33.7 days)
- During the last 3 years, the maximum drop from peak to valley is -41.8 days, which is lower, thus worse than the value of -33.7 days from the benchmark.

'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.'

Which means for our asset as example:- Looking at the maximum time in days below previous high water mark of 312 days in the last 5 years of Vanguard Small Cap Index Fund, we see it is relatively larger, thus worse in comparison to the benchmark SPY (189 days)
- Compared with SPY (189 days) in the period of the last 3 years, the maximum days below previous high of 227 days is higher, thus worse.

'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.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (46 days) in the period of the last 5 years, the average days under water of 86 days of Vanguard Small Cap Index Fund is greater, thus worse.
- Compared with SPY (45 days) in the period of the last 3 years, the average time in days below previous high water mark of 68 days is greater, thus worse.

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.