'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.'

Which means for our asset as example:- Looking at the total return of 19.9% in the last 5 years of XTrackers MSCI South Korea Hedged Equity ETF, we see it is relatively lower, thus worse in comparison to the benchmark SPY (111.3%)
- Looking at total return in of 21.4% in the period of the last 3 years, we see it is relatively smaller, thus worse in comparison to SPY (39.3%).

'The compound annual growth rate isn't a true return rate, but rather a representational figure. It is essentially a number that describes the rate at which an investment would have grown if it had grown the same rate every year and the profits were reinvested at the end of each year. In reality, this sort of performance is unlikely. However, CAGR can be used to smooth returns so that they may be more easily understood when compared to alternative investments.'

Using this definition on our asset we see for example:- The compounded annual growth rate (CAGR) over 5 years of XTrackers MSCI South Korea Hedged Equity ETF is 3.7%, which is lower, thus worse compared to the benchmark SPY (16.2%) in the same period.
- Compared with SPY (11.7%) in the period of the last 3 years, the compounded annual growth rate (CAGR) of 6.7% is lower, thus worse.

'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.'

Applying this definition to our asset in some examples:- The 30 days standard deviation over 5 years of XTrackers MSCI South Korea Hedged Equity ETF is 14.3%, which is lower, thus better compared to the benchmark SPY (20.9%) in the same period.
- During the last 3 years, the historical 30 days volatility is 13.7%, which is lower, thus better than the value of 17.5% from the benchmark.

'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.'

Using this definition on our asset we see for example:- The downside deviation over 5 years of XTrackers MSCI South Korea Hedged Equity ETF is 10.3%, which is lower, thus better compared to the benchmark SPY (14.9%) in the same period.
- Looking at downside risk in of 9.9% in the period of the last 3 years, we see it is relatively lower, thus better in comparison to SPY (12.2%).

'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.'

Using this definition on our asset we see for example:- The ratio of return and volatility (Sharpe) over 5 years of XTrackers MSCI South Korea Hedged Equity ETF is 0.08, which is lower, thus worse compared to the benchmark SPY (0.66) in the same period.
- During the last 3 years, the ratio of return and volatility (Sharpe) is 0.31, which is lower, thus worse than the value of 0.53 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.'

Applying this definition to our asset in some examples:- The downside risk / excess return profile over 5 years of XTrackers MSCI South Korea Hedged Equity ETF is 0.12, which is lower, thus worse compared to the benchmark SPY (0.92) in the same period.
- Looking at excess return divided by the downside deviation in of 0.42 in the period of the last 3 years, we see it is relatively smaller, thus worse in comparison to SPY (0.75).

'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 (9.32 ) in the period of the last 5 years, the Ulcer Ratio of 11 of XTrackers MSCI South Korea Hedged Equity ETF is larger, thus worse.
- Looking at Downside risk index in of 11 in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (10 ).

'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.'

Using this definition on our asset we see for example:- Looking at the maximum DrawDown of -23.6 days in the last 5 years of XTrackers MSCI South Korea Hedged Equity ETF, we see it is relatively larger, thus better in comparison to the benchmark SPY (-33.7 days)
- Looking at maximum DrawDown in of -23.6 days in the period of the last 3 years, we see it is relatively greater, thus better in comparison to SPY (-24.5 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:- Compared with the benchmark SPY (488 days) in the period of the last 5 years, the maximum days below previous high of 451 days of XTrackers MSCI South Korea Hedged Equity ETF is smaller, thus better.
- Looking at maximum days below previous high in of 451 days in the period of the last 3 years, we see it is relatively smaller, thus better in comparison to SPY (488 days).

'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 (124 days) in the period of the last 5 years, the average time in days below previous high water mark of 173 days of XTrackers MSCI South Korea Hedged Equity ETF is greater, thus worse.
- Compared with SPY (179 days) in the period of the last 3 years, the average days below previous high of 155 days is lower, thus better.

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 XTrackers MSCI South Korea Hedged Equity ETF are hypothetical and do not account for slippage, fees or taxes.