'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.'

Using this definition on our asset we see for example:- The total return, or performance over 5 years of VelocityShares 3x Long Gold ETN is 43%, which is smaller, thus worse compared to the benchmark SPY (98.3%) in the same period.
- During the last 3 years, the total return, or performance is 0%, which is smaller, thus worse than the value of 27.2% 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 annual performance (CAGR) over 5 years of VelocityShares 3x Long Gold ETN is 7.4%, which is smaller, thus worse compared to the benchmark SPY (14.7%) in the same period.
- Compared with SPY (8.4%) in the period of the last 3 years, the annual return (CAGR) of 0% is lower, thus worse.

'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 22.9%, which is larger, thus worse compared to the benchmark SPY (20.9%) in the same period.
- Compared with SPY (17.7%) in the period of the last 3 years, the volatility of 0% is smaller, thus better.

'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:- The downside deviation over 5 years of VelocityShares 3x Long Gold ETN is 15.1%, which is larger, thus worse compared to the benchmark SPY (14.9%) in the same period.
- Looking at downside risk in of 0% in the period of the last 3 years, we see it is relatively lower, thus better in comparison to SPY (12.4%).

'The Sharpe ratio was developed by Nobel laureate William F. Sharpe, and is used to help investors understand the return of an investment compared to its risk. The ratio is the average return earned in excess of the risk-free rate per unit of volatility or total risk. Subtracting the risk-free rate from the mean return allows an investor to better isolate the profits associated with risk-taking activities. One intuition of this calculation is that a portfolio engaging in 'zero risk' investments, such as the purchase of U.S. Treasury bills (for which the expected return is the risk-free rate), has a Sharpe ratio of exactly zero. Generally, the greater the value of the Sharpe ratio, the more attractive the risk-adjusted return.'

Using this definition on our asset we see for example:- Looking at the ratio of return and volatility (Sharpe) of 0.22 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 (0.58)
- During the last 3 years, the Sharpe Ratio is 0, which is lower, thus worse than the value of 0.33 from the benchmark.

'The Sortino ratio measures the risk-adjusted return of an investment asset, portfolio, or strategy. It is a modification of the Sharpe ratio but penalizes only those returns falling below a user-specified target or required rate of return, while the Sharpe ratio penalizes both upside and downside volatility equally. Though both ratios measure an investment's risk-adjusted return, they do so in significantly different ways that will frequently lead to differing conclusions as to the true nature of the investment's return-generating efficiency. The Sortino ratio is used as a way to compare the risk-adjusted performance of programs with differing risk and return profiles. In general, risk-adjusted returns seek to normalize the risk across programs and then see which has the higher return unit per risk.'

Which means for our asset as example:- The excess return divided by the downside deviation over 5 years of VelocityShares 3x Long Gold ETN is 0.33, which is lower, thus worse compared to the benchmark SPY (0.82) in the same period.
- Looking at excess return divided by the downside deviation in of 0 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.'

Using this definition on our asset we see for example:- Looking at the Ulcer Ratio of 4.35 in the last 5 years of VelocityShares 3x Long Gold ETN, we see it is relatively lower, thus better in comparison to the benchmark SPY (9.32 )
- During the last 3 years, the Ulcer Ratio is 0 , which is lower, thus better than the value of 10 from the benchmark.

'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:- Compared with the benchmark SPY (-33.7 days) in the period of the last 5 years, the maximum DrawDown of -34.3 days of VelocityShares 3x Long Gold ETN is lower, thus worse.
- Looking at maximum drop from peak to valley in of 0 days in the period of the last 3 years, we see it is relatively greater, thus better in comparison to SPY (-24.5 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'

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 1054 days of VelocityShares 3x Long Gold ETN is larger, thus worse.
- Compared with SPY (488 days) in the period of the last 3 years, the maximum days under water of 0 days is lower, thus better.

'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:- Compared with the benchmark SPY (123 days) in the period of the last 5 years, the average days under water of 453 days of VelocityShares 3x Long Gold ETN is greater, thus worse.
- Compared with SPY (177 days) in the period of the last 3 years, the average time in days below previous high water mark of 0 days is smaller, thus better.

Historical returns have been extended using synthetic data.
[Show Details]

- 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 and do not account for slippage, fees or taxes.