'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:- Compared with the benchmark SPY (115.8%) in the period of the last 5 years, the total return, or performance of 23.6% of Alexion Pharmaceuticals is lower, thus worse.
- Looking at total return in of 43.7% in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (57%).

'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.'

Which means for our asset as example:- The annual return (CAGR) over 5 years of Alexion Pharmaceuticals is 4.3%, which is smaller, thus worse compared to the benchmark SPY (16.7%) in the same period.
- Compared with SPY (16.3%) in the period of the last 3 years, the compounded annual growth rate (CAGR) of 12.9% is lower, thus worse.

'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.'

Which means for our asset as example:- Looking at the 30 days standard deviation of 39.1% in the last 5 years of Alexion Pharmaceuticals, we see it is relatively greater, thus worse in comparison to the benchmark SPY (18.8%)
- Compared with SPY (22.5%) in the period of the last 3 years, the 30 days standard deviation of 39.3% is higher, thus worse.

'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:- Compared with the benchmark SPY (13.7%) in the period of the last 5 years, the downside volatility of 26% of Alexion Pharmaceuticals is larger, thus worse.
- Looking at downside volatility in of 25% in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (16.4%).

'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 risk / return profile (Sharpe) of 0.05 in the last 5 years of Alexion Pharmaceuticals, we see it is relatively lower, thus worse in comparison to the benchmark SPY (0.75)
- Looking at Sharpe Ratio in of 0.26 in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (0.61).

'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:- Compared with the benchmark SPY (1.04) in the period of the last 5 years, the ratio of annual return and downside deviation of 0.07 of Alexion Pharmaceuticals is lower, thus worse.
- Looking at excess return divided by the downside deviation in of 0.42 in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (0.84).

'The Ulcer Index is a technical indicator that measures downside risk, in terms of both the depth and duration of price declines. The index increases in value as the price moves farther away from a recent high and falls as the price rises to new highs. The indicator is usually calculated over a 14-day period, with the Ulcer Index showing the percentage drawdown a trader can expect from the high over that period. The greater the value of the Ulcer Index, the longer it takes for a stock to get back to the former high.'

Applying this definition to our asset in some examples:- Looking at the Downside risk index of 24 in the last 5 years of Alexion Pharmaceuticals, we see it is relatively larger, thus worse in comparison to the benchmark SPY (5.58 )
- Compared with SPY (6.83 ) in the period of the last 3 years, the Ulcer Ratio of 19 is larger, thus worse.

'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.'

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 drop from peak to valley of -51.8 days of Alexion Pharmaceuticals is smaller, thus worse.
- During the last 3 years, the maximum DrawDown is -46.5 days, which is lower, 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) in days.'

Which means for our asset as example:- Looking at the maximum days under water of 1142 days in the last 5 years of Alexion Pharmaceuticals, we see it is relatively higher, thus worse in comparison to the benchmark SPY (139 days)
- Compared with SPY (139 days) in the period of the last 3 years, the maximum days under water of 423 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.'

Which means for our asset as example:- Looking at the average time in days below previous high water mark of 530 days in the last 5 years of Alexion Pharmaceuticals, we see it is relatively larger, thus worse in comparison to the benchmark SPY (33 days)
- During the last 3 years, the average days under water is 139 days, which is greater, thus worse than the value of 35 days from the benchmark.

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 Alexion Pharmaceuticals 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.