'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.'

Applying this definition to our asset in some examples:- The total return over 5 years of Vanguard Real Estate Index Fund is 38.3%, which is lower, thus worse compared to the benchmark SPY (78.4%) in the same period.
- Compared with SPY (44.1%) in the period of the last 3 years, the total return, or performance of 20.8% is smaller, 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:- The compounded annual growth rate (CAGR) over 5 years of Vanguard Real Estate Index Fund is 6.7%, which is smaller, thus worse compared to the benchmark SPY (12.3%) in the same period.
- During the last 3 years, the compounded annual growth rate (CAGR) is 6.5%, which is lower, thus worse than the value of 12.9% 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:- Looking at the historical 30 days volatility of 23.3% in the last 5 years of Vanguard Real Estate Index Fund, we see it is relatively greater, thus worse in comparison to the benchmark SPY (19.9%)
- During the last 3 years, the 30 days standard deviation is 27.9%, which is greater, thus worse than the value of 23.1% from the benchmark.

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

Using this definition on our asset we see for example:- Looking at the downside volatility of 17.4% in the last 5 years of Vanguard Real Estate Index Fund, we see it is relatively larger, thus worse in comparison to the benchmark SPY (14.6%)
- Compared with SPY (16.9%) in the period of the last 3 years, the downside volatility of 20.9% 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:- Compared with the benchmark SPY (0.49) in the period of the last 5 years, the risk / return profile (Sharpe) of 0.18 of Vanguard Real Estate Index Fund is smaller, thus worse.
- During the last 3 years, the ratio of return and volatility (Sharpe) is 0.14, which is lower, thus worse than the value of 0.45 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.'

Using this definition on our asset we see for example:- Looking at the ratio of annual return and downside deviation of 0.24 in the last 5 years of Vanguard Real Estate Index Fund, we see it is relatively lower, thus worse in comparison to the benchmark SPY (0.67)
- During the last 3 years, the ratio of annual return and downside deviation is 0.19, which is lower, thus worse than the value of 0.62 from the benchmark.

'The ulcer index is a stock market risk measure or technical analysis indicator devised by Peter Martin in 1987, and published by him and Byron McCann in their 1989 book The Investors Guide to Fidelity Funds. It's designed as a measure of volatility, but only volatility in the downward direction, i.e. the amount of drawdown or retracement occurring over a period. Other volatility measures like standard deviation treat up and down movement equally, but a trader doesn't mind upward movement, it's the downside that causes stress and stomach ulcers that the index's name suggests.'

Applying this definition to our asset in some examples:- The Ulcer Ratio over 5 years of Vanguard Real Estate Index Fund is 9.62 , which is larger, thus worse compared to the benchmark SPY (6.16 ) in the same period.
- Looking at Downside risk index in of 12 in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (6.87 ).

'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.'

Which means for our asset as example:- Compared with the benchmark SPY (-33.7 days) in the period of the last 5 years, the maximum DrawDown of -42.3 days of Vanguard Real Estate Index Fund is lower, thus worse.
- Compared with SPY (-33.7 days) in the period of the last 3 years, the maximum drop from peak to valley of -42.3 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). 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'

Which means for our asset as example:- Compared with the benchmark SPY (139 days) in the period of the last 5 years, the maximum time in days below previous high water mark of 292 days of Vanguard Real Estate Index Fund is larger, thus worse.
- Compared with SPY (119 days) in the period of the last 3 years, the maximum days below previous high of 292 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:- The average days under water over 5 years of Vanguard Real Estate Index Fund is 58 days, which is greater, thus worse compared to the benchmark SPY (35 days) in the same period.
- Compared with SPY (27 days) in the period of the last 3 years, the average time in days below previous high water mark of 75 days is higher, 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 Real Estate 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.