'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.'

Using this definition on our asset we see for example:- Looking at the total return of 14.7% in the last 5 years of SPDR DJ Wilshire Intl Real Estate, we see it is relatively lower, thus worse in comparison to the benchmark SPY (65.6%)
- Looking at total return, or increase in value in of 14.2% in the period of the last 3 years, we see it is relatively smaller, thus worse in comparison to SPY (48.8%).

'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 SPDR DJ Wilshire Intl Real Estate is 2.8%, which is lower, thus worse compared to the benchmark SPY (10.6%) in the same period.
- Compared with SPY (14.2%) in the period of the last 3 years, the annual return (CAGR) of 4.5% is smaller, thus worse.

'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 30 days standard deviation of 13.1% in the last 5 years of SPDR DJ Wilshire Intl Real Estate, we see it is relatively lower, thus better in comparison to the benchmark SPY (13.6%)
- Looking at volatility in of 10.2% in the period of the last 3 years, we see it is relatively lower, thus better in comparison to SPY (12.8%).

'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:- Compared with the benchmark SPY (15%) in the period of the last 5 years, the downside risk of 13.9% of SPDR DJ Wilshire Intl Real Estate is smaller, thus better.
- Looking at downside deviation in of 11% in the period of the last 3 years, we see it is relatively lower, thus better in comparison to SPY (14.6%).

'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 risk / return profile (Sharpe) of 0.02 in the last 5 years of SPDR DJ Wilshire Intl Real Estate, we see it is relatively lower, thus worse in comparison to the benchmark SPY (0.6)
- During the last 3 years, the ratio of return and volatility (Sharpe) is 0.2, which is lower, thus worse than the value of 0.91 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:- Looking at the excess return divided by the downside deviation of 0.02 in the last 5 years of SPDR DJ Wilshire Intl Real Estate, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (0.54)
- Looking at excess return divided by the downside deviation in of 0.18 in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (0.8).

'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.'

Applying this definition to our asset in some examples:- Looking at the Downside risk index of 6.96 in the last 5 years of SPDR DJ Wilshire Intl Real Estate, we see it is relatively greater, thus worse in comparison to the benchmark SPY (4.03 )
- Compared with SPY (4.1 ) in the period of the last 3 years, the Ulcer Ratio of 5.68 is larger, 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.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (-19.3 days) in the period of the last 5 years, the maximum drop from peak to valley of -19.8 days of SPDR DJ Wilshire Intl Real Estate is lower, thus worse.
- Looking at maximum reduction from previous high in of -13.9 days in the period of the last 3 years, we see it is relatively larger, thus better in comparison to SPY (-19.3 days).

'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.'

Applying this definition to our asset in some examples:- Looking at the maximum days under water of 650 days in the last 5 years of SPDR DJ Wilshire Intl Real Estate, we see it is relatively higher, thus worse in comparison to the benchmark SPY (187 days)
- Compared with SPY (139 days) in the period of the last 3 years, the maximum days under water of 413 days is higher, thus worse.

'The Average 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. 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:- Looking at the average days below previous high of 244 days in the last 5 years of SPDR DJ Wilshire Intl Real Estate, we see it is relatively larger, thus worse in comparison to the benchmark SPY (41 days)
- Compared with SPY (35 days) in the period of the last 3 years, the average days below previous high of 141 days is larger, thus worse.

Historical returns have been extended using synthetic data.
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- "Year" returns in the table above are not equal to the sum of monthly returns due to compounding.
- Performance results of SPDR DJ Wilshire Intl Real Estate 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.