'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.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (100.7%) in the period of the last 5 years, the total return, or increase in value of 89.2% of VanEck Vectors Gold Miners ETF is smaller, thus worse.
- During the last 3 years, the total return, or performance is -2.3%, which is lower, thus worse than the value of 33.2% from the benchmark.

'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:- The compounded annual growth rate (CAGR) over 5 years of VanEck Vectors Gold Miners ETF is 13.6%, which is smaller, thus worse compared to the benchmark SPY (15%) in the same period.
- During the last 3 years, the compounded annual growth rate (CAGR) is -0.8%, which is lower, thus worse than the value of 10% 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.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (20.9%) in the period of the last 5 years, the 30 days standard deviation of 39.7% of VanEck Vectors Gold Miners ETF is larger, thus worse.
- Looking at 30 days standard deviation in of 33.2% in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (17.3%).

'The downside volatility is similar to the volatility, or standard deviation, but only takes losing/negative periods into account.'

Which means for our asset as example:- Looking at the downside risk of 27.1% in the last 5 years of VanEck Vectors Gold Miners ETF, we see it is relatively higher, thus worse in comparison to the benchmark SPY (15%)
- Compared with SPY (12%) in the period of the last 3 years, the downside volatility of 22.5% 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:- The Sharpe Ratio over 5 years of VanEck Vectors Gold Miners ETF is 0.28, which is lower, thus worse compared to the benchmark SPY (0.6) in the same period.
- Compared with SPY (0.44) in the period of the last 3 years, the risk / return profile (Sharpe) of -0.1 is lower, 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.'

Applying this definition to our asset in some examples:- The downside risk / excess return profile over 5 years of VanEck Vectors Gold Miners ETF is 0.41, which is lower, thus worse compared to the benchmark SPY (0.83) in the same period.
- Compared with SPY (0.62) in the period of the last 3 years, the downside risk / excess return profile of -0.14 is lower, thus worse.

'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:- The Ulcer Ratio over 5 years of VanEck Vectors Gold Miners ETF is 25 , which is higher, thus worse compared to the benchmark SPY (9.32 ) in the same period.
- Compared with SPY (10 ) in the period of the last 3 years, the Downside risk index of 25 is higher, 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.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (-33.7 days) in the period of the last 5 years, the maximum drop from peak to valley of -49.8 days of VanEck Vectors Gold Miners ETF is smaller, thus worse.
- During the last 3 years, the maximum drop from peak to valley is -46.5 days, which is lower, thus worse than the value of -24.5 days from the benchmark.

'The Drawdown Duration is the length of any peak to peak period, or the time between new equity highs. The Max Drawdown Duration is the worst (the maximum/longest) amount of time an investment has seen between peaks (equity highs). Many assume Max DD Duration is the length of time between new highs during which the Max DD (magnitude) occurred. But that isn’t always the case. The Max DD duration is the longest time between peaks, period. So it could be the time when the program also had its biggest peak to valley loss (and usually is, because the program needs a long time to recover from the largest loss), but it doesn’t have to be'

Which means for our asset as example:- Looking at the maximum days below previous high of 952 days in the last 5 years of VanEck Vectors Gold Miners ETF, we see it is relatively greater, thus worse in comparison to the benchmark SPY (488 days)
- Looking at maximum days below previous high in of 524 days in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (488 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.'

Applying this definition to our asset in some examples:- Looking at the average days below previous high of 381 days in the last 5 years of VanEck Vectors Gold Miners ETF, we see it is relatively higher, thus worse in comparison to the benchmark SPY (123 days)
- Looking at average time in days below previous high water mark in of 216 days in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (180 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 VanEck Vectors Gold Miners ETF are hypothetical and do not account for slippage, fees or taxes.