'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.'

Which means for our asset as example:- Compared with the benchmark SPY (98.3%) in the period of the last 5 years, the total return, or increase in value of 21.8% of iShares MSCI Global Silver Miners Fund is smaller, thus worse.
- Looking at total return in of -13.5% in the period of the last 3 years, we see it is relatively smaller, thus worse in comparison to SPY (27.2%).

'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:- Looking at the annual performance (CAGR) of 4% in the last 5 years of iShares MSCI Global Silver Miners Fund, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (14.7%)
- During the last 3 years, the annual return (CAGR) is -4.8%, which is lower, thus worse than the value of 8.4% from the benchmark.

'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:- Looking at the 30 days standard deviation of 45.1% in the last 5 years of iShares MSCI Global Silver Miners Fund, we see it is relatively larger, thus worse in comparison to the benchmark SPY (20.9%)
- Compared with SPY (17.7%) in the period of the last 3 years, the historical 30 days volatility of 39% is greater, thus worse.

'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 (14.9%) in the period of the last 5 years, the downside risk of 31.1% of iShares MSCI Global Silver Miners Fund is higher, thus worse.
- Compared with SPY (12.4%) in the period of the last 3 years, the downside volatility of 26.9% is higher, thus worse.

'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 (0.58) in the period of the last 5 years, the Sharpe Ratio of 0.03 of iShares MSCI Global Silver Miners Fund is lower, thus worse.
- Compared with SPY (0.33) in the period of the last 3 years, the ratio of return and volatility (Sharpe) of -0.19 is smaller, 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.'

Applying this definition to our asset in some examples:- Looking at the ratio of annual return and downside deviation of 0.05 in the last 5 years of iShares MSCI Global Silver Miners Fund, we see it is relatively lower, thus worse in comparison to the benchmark SPY (0.82)
- Looking at excess return divided by the downside deviation in of -0.27 in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (0.47).

'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.'

Which means for our asset as example:- Looking at the Ulcer Ratio of 33 in the last 5 years of iShares MSCI Global Silver Miners Fund, we see it is relatively higher, thus worse in comparison to the benchmark SPY (9.32 )
- Compared with SPY (10 ) in the period of the last 3 years, the Ulcer Ratio of 30 is greater, thus worse.

'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.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (-33.7 days) in the period of the last 5 years, the maximum drop from peak to valley of -56.2 days of iShares MSCI Global Silver Miners Fund is smaller, thus worse.
- Compared with SPY (-24.5 days) in the period of the last 3 years, the maximum DrawDown of -47.7 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 923 days in the last 5 years of iShares MSCI Global Silver Miners Fund, we see it is relatively greater, thus worse in comparison to the benchmark SPY (488 days)
- Compared with SPY (488 days) in the period of the last 3 years, the maximum time in days below previous high water mark of 602 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:- Compared with the benchmark SPY (123 days) in the period of the last 5 years, the average time in days below previous high water mark of 356 days of iShares MSCI Global Silver Miners Fund is larger, thus worse.
- Looking at average days below previous high in of 252 days in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (177 days).

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 Global Silver Miners Fund are hypothetical and do not account for slippage, fees or taxes.