'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.'

Which means for our asset as example:- Looking at the total return, or performance of 57.7% in the last 5 years of Amgen, we see it is relatively lower, thus worse in comparison to the benchmark SPY (91.7%)
- Compared with SPY (47.9%) in the period of the last 3 years, the total return, or performance of 44% is lower, thus worse.

'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.'

Which means for our asset as example:- Compared with the benchmark SPY (13.9%) in the period of the last 5 years, the compounded annual growth rate (CAGR) of 9.5% of Amgen is lower, thus worse.
- Compared with SPY (13.9%) in the period of the last 3 years, the compounded annual growth rate (CAGR) of 12.9% is lower, thus worse.

'In finance, volatility (symbol σ) is the degree of variation of a trading price series over time as measured by the standard deviation of logarithmic returns. Historic volatility measures a time series of past market prices. Implied volatility looks forward in time, being derived from the market price of a market-traded derivative (in particular, an option). Commonly, the higher the volatility, the riskier the security.'

Using this definition on our asset we see for example:- The historical 30 days volatility over 5 years of Amgen is 26.2%, which is higher, thus worse compared to the benchmark SPY (19%) in the same period.
- Compared with SPY (22.8%) in the period of the last 3 years, the volatility of 28.6% is larger, 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.'

Using this definition on our asset we see for example:- The downside risk over 5 years of Amgen is 17.7%, which is larger, thus worse compared to the benchmark SPY (13.8%) in the same period.
- Looking at downside deviation in of 19% in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (16.7%).

'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:- Looking at the Sharpe Ratio of 0.27 in the last 5 years of Amgen, we see it is relatively lower, thus worse in comparison to the benchmark SPY (0.6)
- During the last 3 years, the Sharpe Ratio is 0.36, which is smaller, thus worse than the value of 0.5 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.'

Which means for our asset as example:- The ratio of annual return and downside deviation over 5 years of Amgen is 0.4, which is lower, thus worse compared to the benchmark SPY (0.82) in the same period.
- During the last 3 years, the downside risk / excess return profile is 0.55, which is smaller, thus worse than the value of 0.68 from the benchmark.

'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.'

Which means for our asset as example:- Looking at the Downside risk index of 8.46 in the last 5 years of Amgen, we see it is relatively greater, thus worse in comparison to the benchmark SPY (5.82 )
- Looking at Ulcer Index in of 8.28 in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (7.14 ).

'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:- The maximum DrawDown over 5 years of Amgen is -24.5 days, which is higher, thus better compared to the benchmark SPY (-33.7 days) in the same period.
- During the last 3 years, the maximum drop from peak to valley is -24.5 days, which is higher, thus better 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.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (139 days) in the period of the last 5 years, the maximum days under water of 172 days of Amgen is greater, thus worse.
- Looking at maximum time in days below previous high water mark in of 172 days in the period of the last 3 years, we see it is relatively greater, 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.'

Using this definition on our asset we see for example:- Looking at the average days under water of 46 days in the last 5 years of Amgen, we see it is relatively greater, thus worse in comparison to the benchmark SPY (36 days)
- Looking at average days below previous high in of 46 days in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (45 days).

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, 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.