'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.'

Using this definition on our asset we see for example:- The total return over 5 years of iShares MSCI Brazil ETF is 17.2%, which is lower, thus worse compared to the benchmark SPY (100.7%) in the same period.
- Compared with SPY (33.2%) in the period of the last 3 years, the total return of 9.2% is lower, 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 iShares MSCI Brazil ETF is 3.2%, which is smaller, thus worse compared to the benchmark SPY (15%) in the same period.
- During the last 3 years, the annual performance (CAGR) is 3%, which is smaller, thus worse than the value of 10% from the benchmark.

'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:- Compared with the benchmark SPY (20.9%) in the period of the last 5 years, the 30 days standard deviation of 38.4% of iShares MSCI Brazil ETF is larger, thus worse.
- Compared with SPY (17.3%) in the period of the last 3 years, the volatility of 29.4% is greater, thus worse.

'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:- Compared with the benchmark SPY (15%) in the period of the last 5 years, the downside volatility of 28.2% of iShares MSCI Brazil ETF is higher, thus worse.
- Looking at downside deviation in of 20.9% in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (12%).

'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.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (0.6) in the period of the last 5 years, the risk / return profile (Sharpe) of 0.02 of iShares MSCI Brazil ETF is lower, thus worse.
- Compared with SPY (0.44) in the period of the last 3 years, the Sharpe Ratio of 0.02 is smaller, thus worse.

'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:- The ratio of annual return and downside deviation over 5 years of iShares MSCI Brazil ETF is 0.03, which is lower, thus worse compared to the benchmark SPY (0.83) in the same period.
- During the last 3 years, the ratio of annual return and downside deviation is 0.02, which is lower, thus worse than the value of 0.62 from the benchmark.

'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.'

Which means for our asset as example:- Compared with the benchmark SPY (9.32 ) in the period of the last 5 years, the Ulcer Index of 26 of iShares MSCI Brazil ETF is larger, thus worse.
- Compared with SPY (10 ) in the period of the last 3 years, the Ulcer Ratio of 17 is higher, thus worse.

'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.'

Applying this definition to our asset in some examples:- The maximum reduction from previous high over 5 years of iShares MSCI Brazil ETF is -57 days, which is smaller, thus worse compared to the benchmark SPY (-33.7 days) in the same period.
- Compared with SPY (-24.5 days) in the period of the last 3 years, the maximum reduction from previous high of -32.2 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:- The maximum days below previous high over 5 years of iShares MSCI Brazil ETF is 1101 days, which is greater, thus worse compared to the benchmark SPY (488 days) in the same period.
- During the last 3 years, the maximum days under water is 417 days, which is lower, thus better than the value of 488 days from the benchmark.

'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.'

Which means for our asset as example:- The average time in days below previous high water mark over 5 years of iShares MSCI Brazil ETF is 497 days, which is higher, thus worse compared to the benchmark SPY (123 days) in the same period.
- During the last 3 years, the average days under water is 150 days, which is smaller, thus better than the value of 180 days from the benchmark.

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 iShares MSCI Brazil ETF are hypothetical and do not account for slippage, fees or taxes.