'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 -23.3% 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 (66.7%)
- During the last 3 years, the total return is -10%, which is lower, thus worse than the value of 46% from the benchmark.

'The compound annual growth rate isn't a true return rate, but rather a representational figure. It is essentially a number that describes the rate at which an investment would have grown if it had grown the same rate every year and the profits were reinvested at the end of each year. In reality, this sort of performance is unlikely. However, CAGR can be used to smooth returns so that they may be more easily understood when compared to alternative investments.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (10.8%) in the period of the last 5 years, the compounded annual growth rate (CAGR) of -5.2% of VelocityShares 3x Long Gold ETN is smaller, thus worse.
- Looking at annual performance (CAGR) in of -3.5% in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (13.5%).

'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:- The historical 30 days volatility over 5 years of VelocityShares 3x Long Gold ETN is 39%, which is larger, thus worse compared to the benchmark SPY (13.4%) in the same period.
- During the last 3 years, the 30 days standard deviation is 31.9%, which is greater, thus worse than the value of 12.3% from the benchmark.

'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.'

Using this definition on our asset we see for example:- The downside deviation over 5 years of VelocityShares 3x Long Gold ETN is 38.2%, which is greater, thus worse compared to the benchmark SPY (14.6%) in the same period.
- During the last 3 years, the downside risk is 32.9%, which is greater, thus worse than the value of 13.9% from the benchmark.

'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.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (0.62) in the period of the last 5 years, the ratio of return and volatility (Sharpe) of -0.2 of VelocityShares 3x Long Gold ETN is lower, thus worse.
- During the last 3 years, the risk / return profile (Sharpe) is -0.19, which is lower, thus worse than the value of 0.89 from the benchmark.

'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:- Compared with the benchmark SPY (0.57) in the period of the last 5 years, the ratio of annual return and downside deviation of -0.2 of VelocityShares 3x Long Gold ETN is smaller, thus worse.
- Looking at downside risk / excess return profile in of -0.18 in the period of the last 3 years, we see it is relatively smaller, thus worse in comparison to SPY (0.79).

'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 VelocityShares 3x Long Gold ETN is 35 , which is larger, thus worse compared to the benchmark SPY (3.99 ) in the same period.
- During the last 3 years, the Ulcer Ratio is 31 , which is greater, thus worse than the value of 4.04 from the benchmark.

'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 -55.4 days 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 (-19.3 days)
- During the last 3 years, the maximum drop from peak to valley is -48.2 days, which is lower, thus worse than the value of -19.3 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) in days.'

Using this definition on our asset we see for example:- Looking at the maximum days under water of 1259 days in the last 5 years of VelocityShares 3x Long Gold ETN, we see it is relatively greater, thus worse in comparison to the benchmark SPY (187 days)
- Compared with SPY (139 days) in the period of the last 3 years, the maximum time in days below previous high water mark of 746 days is greater, thus worse.

'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:- The average days under water over 5 years of VelocityShares 3x Long Gold ETN is 630 days, which is greater, thus worse compared to the benchmark SPY (41 days) in the same period.
- During the last 3 years, the average days below previous high is 372 days, which is larger, thus worse than the value of 36 days from the benchmark.

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.