'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:- The total return, or increase in value over 5 years of VanEck Vectors-Africa Index ETF is -6.4%, which is lower, thus worse compared to the benchmark SPY (102%) in the same period.
- Looking at total return, or performance in of -18.4% in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (31.5%).

'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.'

Which means for our asset as example:- Compared with the benchmark SPY (15.1%) in the period of the last 5 years, the compounded annual growth rate (CAGR) of -1.3% of VanEck Vectors-Africa Index ETF is smaller, thus worse.
- During the last 3 years, the annual return (CAGR) is -6.6%, which is lower, thus worse than the value of 9.6% 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:- Looking at the historical 30 days volatility of 23.4% in the last 5 years of VanEck Vectors-Africa Index ETF, we see it is relatively higher, thus worse in comparison to the benchmark SPY (20.9%)
- Compared with SPY (17.6%) in the period of the last 3 years, the historical 30 days volatility of 20.7% 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.'

Applying this definition to our asset in some examples:- Looking at the downside deviation of 17.6% in the last 5 years of VanEck Vectors-Africa Index ETF, we see it is relatively higher, thus worse in comparison to the benchmark SPY (14.9%)
- Compared with SPY (12.4%) in the period of the last 3 years, the downside volatility of 15.1% is greater, 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:- Looking at the Sharpe Ratio of -0.16 in the last 5 years of VanEck Vectors-Africa Index ETF, we see it is relatively lower, thus worse in comparison to the benchmark SPY (0.6)
- Compared with SPY (0.4) in the period of the last 3 years, the ratio of return and volatility (Sharpe) of -0.44 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 downside risk / excess return profile of -0.22 in the last 5 years of VanEck Vectors-Africa Index ETF, we see it is relatively lower, thus worse in comparison to the benchmark SPY (0.84)
- Looking at downside risk / excess return profile in of -0.6 in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (0.57).

'The ulcer index is a stock market risk measure or technical analysis indicator devised by Peter Martin in 1987, and published by him and Byron McCann in their 1989 book The Investors Guide to Fidelity Funds. It's designed as a measure of volatility, but only volatility in the downward direction, i.e. the amount of drawdown or retracement occurring over a period. Other volatility measures like standard deviation treat up and down movement equally, but a trader doesn't mind upward movement, it's the downside that causes stress and stomach ulcers that the index's name suggests.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (9.32 ) in the period of the last 5 years, the Ulcer Ratio of 21 of VanEck Vectors-Africa Index ETF is larger, thus worse.
- Compared with SPY (10 ) in the period of the last 3 years, the Ulcer Index of 24 is larger, thus worse.

'Maximum drawdown measures the loss in any losing period during a fund’s investment record. It is defined as the percent retrenchment from a fund’s peak value to the fund’s valley value. The drawdown is in effect from the time the fund’s retrenchment begins until a new fund high is reached. The maximum drawdown encompasses both the period from the fund’s peak to the fund’s valley (length), and the time from the fund’s valley to a new fund high (recovery). It measures the largest percentage drawdown that has occurred in any fund’s data record.'

Using this definition on our asset we see for example:- Looking at the maximum drop from peak to valley of -43.2 days in the last 5 years of VanEck Vectors-Africa Index ETF, we see it is relatively lower, thus worse in comparison to the benchmark SPY (-33.7 days)
- Looking at maximum drop from peak to valley in of -37.6 days in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (-24.5 days).

'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:- Compared with the benchmark SPY (488 days) in the period of the last 5 years, the maximum days below previous high of 826 days of VanEck Vectors-Africa Index ETF is greater, thus worse.
- During the last 3 years, the maximum days below previous high is 614 days, which is higher, thus worse 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.'

Applying this definition to our asset in some examples:- Looking at the average time in days below previous high water mark of 302 days in the last 5 years of VanEck Vectors-Africa Index ETF, we see it is relatively larger, thus worse in comparison to the benchmark SPY (123 days)
- During the last 3 years, the average days under water is 258 days, which is greater, thus worse than the value of 177 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 VanEck Vectors-Africa Index ETF are hypothetical and do not account for slippage, fees or taxes.