'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:- Looking at the total return of 116.1% in the last 5 years of Amgen, we see it is relatively larger, thus better in comparison to the benchmark SPY (99.9%)
- During the last 3 years, the total return, or performance is 47.8%, which is greater, thus better than the value of 35% 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.'

Applying this definition to our asset in some examples:- The compounded annual growth rate (CAGR) over 5 years of Amgen is 16.7%, which is greater, thus better compared to the benchmark SPY (14.9%) in the same period.
- Compared with SPY (10.5%) in the period of the last 3 years, the compounded annual growth rate (CAGR) of 13.9% is greater, thus better.

'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:- Looking at the 30 days standard deviation of 26% in the last 5 years of Amgen, we see it is relatively higher, thus worse in comparison to the benchmark SPY (20.9%)
- Looking at volatility in of 22.1% in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (17.3%).

'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:- Looking at the downside deviation of 16.6% in the last 5 years of Amgen, we see it is relatively greater, thus worse in comparison to the benchmark SPY (15%)
- Looking at downside volatility in of 14% in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (12%).

'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 0.55 in the last 5 years of Amgen, we see it is relatively lower, thus worse in comparison to the benchmark SPY (0.59)
- During the last 3 years, the ratio of return and volatility (Sharpe) is 0.52, which is larger, thus better than the value of 0.47 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.'

Applying this definition to our asset in some examples:- The excess return divided by the downside deviation over 5 years of Amgen is 0.85, which is higher, thus better compared to the benchmark SPY (0.83) in the same period.
- During the last 3 years, the downside risk / excess return profile is 0.82, which is larger, thus better than the value of 0.67 from the benchmark.

'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 (9.32 ) in the period of the last 5 years, the Ulcer Index of 10 of Amgen is higher, thus worse.
- During the last 3 years, the Ulcer Ratio is 11 , which is higher, thus worse than the value of 10 from the benchmark.

'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:- Looking at the maximum DrawDown of -24.9 days in the last 5 years of Amgen, we see it is relatively higher, thus better in comparison to the benchmark SPY (-33.7 days)
- During the last 3 years, the maximum reduction from previous high is -24.9 days, which is lower, thus worse than the value of -24.5 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:- Compared with the benchmark SPY (488 days) in the period of the last 5 years, the maximum days below previous high of 244 days of Amgen is smaller, thus better.
- Compared with SPY (488 days) in the period of the last 3 years, the maximum days under water of 230 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.'

Which means for our asset as example:- The average time in days below previous high water mark over 5 years of Amgen is 71 days, which is lower, thus better compared to the benchmark SPY (124 days) in the same period.
- During the last 3 years, the average time in days below previous high water mark is 75 days, which is smaller, thus better than the value of 181 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 Amgen are hypothetical and do not account for slippage, fees or taxes.