'The total return on a portfolio of investments takes into account not only the capital appreciation on the portfolio, but also the income received on the portfolio. The income typically consists of interest, dividends, and securities lending fees. This contrasts with the price return, which takes into account only the capital gain on an investment.'

Using this definition on our asset we see for example:- Looking at the total return, or performance of 4.6% 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 (74.4%)
- During the last 3 years, the total return, or increase in value is 22%, which is smaller, thus worse than the value of 47.2% 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.'

Which means for our asset as example:- The annual return (CAGR) over 5 years of VelocityShares 3x Long Gold ETN is 0.9%, which is smaller, thus worse compared to the benchmark SPY (11.8%) in the same period.
- During the last 3 years, the annual return (CAGR) is 6.9%, which is smaller, thus worse than the value of 13.8% 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.'

Which means for our asset as example:- Compared with the benchmark SPY (13.6%) in the period of the last 5 years, the 30 days standard deviation of 39.5% of VelocityShares 3x Long Gold ETN is greater, thus worse.
- Looking at 30 days standard deviation in of 32.5% in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (12.9%).

'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 volatility over 5 years of VelocityShares 3x Long Gold ETN is 39%, which is higher, thus worse compared to the benchmark SPY (14.9%) in the same period.
- Compared with SPY (14.6%) in the period of the last 3 years, the downside deviation of 33.5% 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.'

Which means for our asset as example:- The ratio of return and volatility (Sharpe) over 5 years of VelocityShares 3x Long Gold ETN is -0.04, which is lower, thus worse compared to the benchmark SPY (0.68) in the same period.
- Looking at Sharpe Ratio in of 0.13 in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (0.88).

'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.'

Which means for our asset as example:- Compared with the benchmark SPY (0.62) in the period of the last 5 years, the ratio of annual return and downside deviation of -0.04 of VelocityShares 3x Long Gold ETN is lower, thus worse.
- Compared with SPY (0.77) in the period of the last 3 years, the excess return divided by the downside deviation of 0.13 is lower, thus worse.

'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.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (3.99 ) in the period of the last 5 years, the Downside risk index of 31 of VelocityShares 3x Long Gold ETN is larger, thus worse.
- Looking at Ulcer Ratio in of 21 in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (4.1 ).

'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.'

Which means for our asset as example:- Compared with the benchmark SPY (-19.3 days) in the period of the last 5 years, the maximum reduction from previous high of -52.2 days of VelocityShares 3x Long Gold ETN is lower, thus worse.
- Compared with SPY (-19.3 days) in the period of the last 3 years, the maximum DrawDown of -40 days is lower, thus worse.

'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 (187 days) in the period of the last 5 years, the maximum time in days below previous high water mark of 1153 days of VelocityShares 3x Long Gold ETN is larger, thus worse.
- Compared with SPY (139 days) in the period of the last 3 years, the maximum days under water of 466 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:- Looking at the average days below previous high of 536 days 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 (41 days)
- Looking at average days below previous high in of 179 days in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (36 days).

Historical returns have been extended using synthetic data.
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- "Year" returns in the table above are not equal to 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.