'Total return, when measuring performance, is the actual rate of return of an investment or a pool of investments over a given evaluation period. Total return includes interest, capital gains, dividends and distributions realized over a given period of time. Total return accounts for two categories of return: income including interest paid by fixed-income investments, distributions or dividends and capital appreciation, representing the change in the market price of an asset.'

Which means for our asset as example:- Looking at the total return, or increase in value of 32.2% in the last 5 years of iShares MSCI Japan Index Fund, we see it is relatively lower, thus worse in comparison to the benchmark SPY (67.3%)
- Compared with SPY (46.1%) in the period of the last 3 years, the total return of 24.9% is lower, thus worse.

'The compound annual growth rate (CAGR) is a useful measure of growth over multiple time periods. It can be thought of as the growth rate that gets you from the initial investment value to the ending investment value if you assume that the investment has been compounding over the time period.'

Which means for our asset as example:- Looking at the annual return (CAGR) of 5.7% in the last 5 years of iShares MSCI Japan Index Fund, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (10.9%)
- Looking at compounded annual growth rate (CAGR) in of 7.7% in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (13.5%).

'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.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (13.2%) in the period of the last 5 years, the 30 days standard deviation of 15.6% of iShares MSCI Japan Index Fund is higher, thus worse.
- Compared with SPY (12.4%) in the period of the last 3 years, the volatility of 13.8% is greater, thus worse.

'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.'

Which means for our asset as example:- Looking at the downside deviation of 17.1% in the last 5 years of iShares MSCI Japan Index Fund, we see it is relatively greater, thus worse in comparison to the benchmark SPY (14.6%)
- During the last 3 years, the downside deviation is 15.5%, which is higher, thus worse than the value of 14% from the benchmark.

'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 0.21 in the last 5 years of iShares MSCI Japan Index Fund, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (0.63)
- Compared with SPY (0.88) in the period of the last 3 years, the Sharpe Ratio of 0.38 is lower, thus worse.

'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 excess return divided by the downside deviation of 0.19 in the last 5 years of iShares MSCI Japan Index Fund, we see it is relatively lower, thus worse in comparison to the benchmark SPY (0.57)
- During the last 3 years, the ratio of annual return and downside deviation is 0.34, which is lower, thus worse than the value of 0.79 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 (3.95 ) in the period of the last 5 years, the Ulcer Ratio of 7.88 of iShares MSCI Japan Index Fund is larger, thus better.
- Compared with SPY (4 ) in the period of the last 3 years, the Ulcer Index of 7.3 is larger, thus better.

'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.'

Applying this definition to our asset in some examples:- Looking at the maximum DrawDown of -22.9 days in the last 5 years of iShares MSCI Japan Index Fund, we see it is relatively lower, thus worse in comparison to the benchmark SPY (-19.3 days)
- Compared with SPY (-19.3 days) in the period of the last 3 years, the maximum DrawDown of -22.9 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.'

Applying this definition to our asset in some examples:- The maximum time in days below previous high water mark over 5 years of iShares MSCI Japan Index Fund is 457 days, which is higher, thus worse compared to the benchmark SPY (187 days) in the same period.
- During the last 3 years, the maximum time in days below previous high water mark is 287 days, which is higher, thus worse than the value of 131 days from the benchmark.

'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:- Looking at the average time in days below previous high water mark of 140 days in the last 5 years of iShares MSCI Japan Index Fund, we see it is relatively larger, thus worse in comparison to the benchmark SPY (39 days)
- During the last 3 years, the average days under water is 72 days, which is greater, thus worse than the value of 33 days from the benchmark.

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 Japan 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.