'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, or performance of 10.8% in the last 5 years of iShares MSCI Brazil ETF, we see it is relatively lower, thus worse in comparison to the benchmark SPY (66.2%)
- Looking at total return in of 71% in the period of the last 3 years, we see it is relatively larger, thus better in comparison to SPY (45.7%).

'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.'

Using this definition on our asset we see for example:- Looking at the compounded annual growth rate (CAGR) of 2.1% in the last 5 years of iShares MSCI Brazil ETF, we see it is relatively lower, thus worse in comparison to the benchmark SPY (10.7%)
- During the last 3 years, the compounded annual growth rate (CAGR) is 19.6%, which is larger, thus better than the value of 13.4% from the benchmark.

'Volatility is a statistical measure of the dispersion of returns for a given security or market index. Volatility can either be measured by using the standard deviation or variance between returns from that same security or market index. Commonly, the higher the volatility, the riskier the security. In the securities markets, volatility is often associated with big swings in either direction. For example, when the stock market rises and falls more than one percent over a sustained period of time, it is called a 'volatile' market.'

Applying this definition to our asset in some examples:- The volatility over 5 years of iShares MSCI Brazil ETF is 34.3%, which is greater, thus worse compared to the benchmark SPY (13.3%) in the same period.
- During the last 3 years, the volatility is 32.4%, which is higher, thus worse than the value of 12.5% 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.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (14.6%) in the period of the last 5 years, the downside deviation of 35.6% of iShares MSCI Brazil ETF is greater, thus worse.
- Compared with SPY (14.1%) in the period of the last 3 years, the downside deviation of 35.6% is larger, thus worse.

'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 -0.01 in the last 5 years of iShares MSCI Brazil ETF, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (0.62)
- Looking at ratio of return and volatility (Sharpe) in of 0.53 in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (0.87).

'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.'

Which means for our asset as example:- Looking at the downside risk / excess return profile of -0.01 in the last 5 years of iShares MSCI Brazil ETF, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (0.56)
- Looking at excess return divided by the downside deviation in of 0.48 in the period of the last 3 years, we see it is relatively smaller, thus worse in comparison to SPY (0.77).

'The Ulcer Index is a technical indicator that measures downside risk, in terms of both the depth and duration of price declines. The index increases in value as the price moves farther away from a recent high and falls as the price rises to new highs. The indicator is usually calculated over a 14-day period, with the Ulcer Index showing the percentage drawdown a trader can expect from the high over that period. The greater the value of the Ulcer Index, the longer it takes for a stock to get back to the former high.'

Using this definition on our asset we see for example:- Looking at the Downside risk index of 33 in the last 5 years of iShares MSCI Brazil ETF, we see it is relatively greater, thus better in comparison to the benchmark SPY (3.96 )
- Compared with SPY (4.01 ) in the period of the last 3 years, the Ulcer Index of 13 is greater, thus better.

'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:- The maximum drop from peak to valley over 5 years of iShares MSCI Brazil ETF is -66.5 days, which is lower, thus worse compared to the benchmark SPY (-19.3 days) in the same period.
- Compared with SPY (-19.3 days) in the period of the last 3 years, the maximum drop from peak to valley of -34 days is lower, thus worse.

'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.'

Using this definition on our asset we see for example:- Looking at the maximum time in days below previous high water mark of 1146 days in the last 5 years of iShares MSCI Brazil ETF, we see it is relatively larger, thus worse in comparison to the benchmark SPY (187 days)
- Looking at maximum days under water in of 290 days in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (131 days).

'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.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (39 days) in the period of the last 5 years, the average time in days below previous high water mark of 533 days of iShares MSCI Brazil ETF is larger, thus worse.
- Looking at average days under water in of 76 days in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (34 days).

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 iShares MSCI Brazil ETF 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.