Vanguard Small Cap Index Fund (NAESX)

TotalReturn:

'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.'

• Compared with the benchmark SPY (99%) in the period of the last 5 years, the total return, or increase in value of 45.6% of Vanguard Small Cap Index Fund is lower, thus worse.
• During the last 3 years, the total return is 42.8%, which is lower, thus worse than the value of 78.3% from the benchmark.

CAGR:

'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.'

• Looking at the annual return (CAGR) of 7.8% 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 (14.8%)
• Looking at compounded annual growth rate (CAGR) in of 12.7% in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (21.4%).

Volatility:

'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.'

• Looking at the volatility of 20.9% in the last 5 years of Vanguard Small Cap Index Fund, we see it is relatively higher, thus worse in comparison to the benchmark SPY (17.1%)
• Looking at 30 days standard deviation in of 19.1% in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (15.2%).

DownVol:

'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.'

• The downside volatility over 5 years of Vanguard Small Cap Index Fund is 14.5%, which is greater, thus worse compared to the benchmark SPY (11.7%) in the same period.
• Looking at downside volatility in of 13% in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (10.2%).

Sharpe:

'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.'

• Looking at the risk / return profile (Sharpe) of 0.26 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 (0.72)
• Compared with SPY (1.24) in the period of the last 3 years, the Sharpe Ratio of 0.53 is smaller, thus worse.

Sortino:

'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.'

• The downside risk / excess return profile over 5 years of Vanguard Small Cap Index Fund is 0.37, which is smaller, thus worse compared to the benchmark SPY (1.05) in the same period.
• Looking at excess return divided by the downside deviation in of 0.78 in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (1.86).

Ulcer:

'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.'

• Compared with the benchmark SPY (8.42 ) in the period of the last 5 years, the Ulcer Ratio of 12 of Vanguard Small Cap Index Fund is larger, thus worse.
• Looking at Ulcer Index in of 7.16 in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (3.52 ).

MaxDD:

'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.'

• Compared with the benchmark SPY (-24.5 days) in the period of the last 5 years, the maximum DrawDown of -28.2 days of Vanguard Small Cap Index Fund is smaller, thus worse.
• Compared with SPY (-18.8 days) in the period of the last 3 years, the maximum reduction from previous high of -25.3 days is smaller, thus worse.

MaxDuration:

'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'

• Compared with the benchmark SPY (488 days) in the period of the last 5 years, the maximum days under water of 672 days of Vanguard Small Cap Index Fund is greater, thus worse.
• Compared with SPY (87 days) in the period of the last 3 years, the maximum days under water of 201 days is larger, thus worse.

AveDuration:

'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.'

• The average days under water over 5 years of Vanguard Small Cap Index Fund is 210 days, which is greater, thus worse compared to the benchmark SPY (120 days) in the same period.
• Looking at average days under water in of 52 days in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (21 days).