'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 (86.2%) in the period of the last 5 years, the total return, or increase in value of 99.6% of VelocityShares 3x Long Gold ETN is larger, thus better.
- During the last 3 years, the total return is 84.4%, which is greater, thus better than the value of 42.1% from the benchmark.

'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 compounded annual growth rate (CAGR) of 14.8% in the last 5 years of VelocityShares 3x Long Gold ETN, we see it is relatively larger, thus better in comparison to the benchmark SPY (13.2%)
- During the last 3 years, the annual return (CAGR) is 22.7%, which is greater, thus better than the value of 12.4% 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.'

Applying this definition to our asset in some examples:- The 30 days standard deviation over 5 years of VelocityShares 3x Long Gold ETN is 40.1%, which is higher, thus worse compared to the benchmark SPY (18.8%) in the same period.
- Compared with SPY (22.5%) in the period of the last 3 years, the historical 30 days volatility of 38.9% is greater, thus worse.

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

Applying this definition to our asset in some examples:- Looking at the downside volatility of 26.8% in the last 5 years of VelocityShares 3x Long Gold ETN, we see it is relatively larger, thus worse in comparison to the benchmark SPY (13.7%)
- During the last 3 years, the downside deviation is 25.9%, which is greater, thus worse than the value of 16.5% from the benchmark.

'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.'

Which means for our asset as example:- Looking at the Sharpe Ratio of 0.31 in the last 5 years of VelocityShares 3x Long Gold ETN, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (0.57)
- Looking at ratio of return and volatility (Sharpe) in of 0.52 in the period of the last 3 years, we see it is relatively larger, thus better in comparison to SPY (0.44).

'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:- Looking at the excess return divided by the downside deviation of 0.46 in the last 5 years of VelocityShares 3x Long Gold ETN, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (0.78)
- During the last 3 years, the downside risk / excess return profile is 0.78, which is larger, thus better than the value of 0.6 from the benchmark.

'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.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (5.81 ) in the period of the last 5 years, the Downside risk index of 26 of VelocityShares 3x Long Gold ETN is larger, thus worse.
- Compared with SPY (7.12 ) in the period of the last 3 years, the Downside risk index of 18 is larger, 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.'

Which means for our asset as example:- Looking at the maximum reduction from previous high of -48.8 days in the last 5 years of VelocityShares 3x Long Gold ETN, we see it is relatively lower, thus worse in comparison to the benchmark SPY (-33.7 days)
- Looking at maximum DrawDown in of -39.3 days in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (-33.7 days).

'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'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (139 days) in the period of the last 5 years, the maximum days below previous high of 780 days of VelocityShares 3x Long Gold ETN is higher, thus worse.
- Compared with SPY (139 days) in the period of the last 3 years, the maximum time in days below previous high water mark of 371 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.'

Which means for our asset as example:- The average time in days below previous high water mark over 5 years of VelocityShares 3x Long Gold ETN is 260 days, which is larger, thus worse compared to the benchmark SPY (37 days) in the same period.
- Looking at average days below previous high in of 110 days in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (45 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 VelocityShares 3x Long Gold ETN 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.