'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:- Looking at the total return, or performance of -99.8% in the last 5 years of Mylan N.V., we see it is relatively lower, thus worse in comparison to the benchmark SPY (121.2%)
- During the last 3 years, the total return, or increase in value is -99.8%, which is lower, thus worse than the value of 67.5% 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.'

Using this definition on our asset we see for example:- Looking at the compounded annual growth rate (CAGR) of -72.5% in the last 5 years of Mylan N.V., we see it is relatively lower, thus worse in comparison to the benchmark SPY (17.2%)
- Looking at annual performance (CAGR) in of -87.2% in the period of the last 3 years, we see it is relatively smaller, thus worse in comparison to SPY (18.7%).

'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 (18.7%) in the period of the last 5 years, the 30 days standard deviation of 60% of Mylan N.V. is greater, thus worse.
- Looking at volatility in of 71.4% in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (22.5%).

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

Using this definition on our asset we see for example:- Compared with the benchmark SPY (13.6%) in the period of the last 5 years, the downside deviation of 53.6% of Mylan N.V. is larger, thus worse.
- Looking at downside deviation in of 65.7% in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (16.3%).

'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.'

Applying this definition to our asset in some examples:- The ratio of return and volatility (Sharpe) over 5 years of Mylan N.V. is -1.25, which is smaller, thus worse compared to the benchmark SPY (0.79) in the same period.
- During the last 3 years, the risk / return profile (Sharpe) is -1.26, which is lower, thus worse than the value of 0.72 from the benchmark.

'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:- Looking at the excess return divided by the downside deviation of -1.4 in the last 5 years of Mylan N.V., we see it is relatively lower, thus worse in comparison to the benchmark SPY (1.08)
- Looking at downside risk / excess return profile in of -1.36 in the period of the last 3 years, we see it is relatively smaller, thus worse in comparison to SPY (1).

'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:- Compared with the benchmark SPY (5.59 ) in the period of the last 5 years, the Ulcer Index of 46 of Mylan N.V. is larger, thus worse.
- Looking at Ulcer Ratio in of 49 in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (6.83 ).

'Maximum drawdown is defined as the peak-to-trough decline of an investment during a specific period. It is usually quoted as a percentage of the peak value. The maximum drawdown can be calculated based on absolute returns, in order to identify strategies that suffer less during market downturns, such as low-volatility strategies. However, the maximum drawdown can also be calculated based on returns relative to a benchmark index, for identifying strategies that show steady outperformance over time.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (-33.7 days) in the period of the last 5 years, the maximum drop from peak to valley of -99.9 days of Mylan N.V. is smaller, thus worse.
- During the last 3 years, the maximum reduction from previous high is -99.8 days, which is smaller, thus worse than the value of -33.7 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). 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'

Which means for our asset as example:- The maximum days under water over 5 years of Mylan N.V. is 1232 days, which is greater, thus worse compared to the benchmark SPY (139 days) in the same period.
- Looking at maximum days below previous high in of 713 days in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (139 days).

'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.'

Which means for our asset as example:- Looking at the average days below previous high of 607 days in the last 5 years of Mylan N.V., we see it is relatively larger, thus worse in comparison to the benchmark SPY (33 days)
- Compared with SPY (35 days) in the period of the last 3 years, the average days under water of 346 days is larger, thus worse.

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 Mylan N.V. 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.