'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 36% in the last 5 years of Express Scripts, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (115.6%)
- Compared with SPY (43%) in the period of the last 3 years, the total return of 7.8% 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.'

Using this definition on our asset we see for example:- Looking at the annual return (CAGR) of 6.3% in the last 5 years of Express Scripts, we see it is relatively lower, thus worse in comparison to the benchmark SPY (16.6%)
- Compared with SPY (12.6%) in the period of the last 3 years, the compounded annual growth rate (CAGR) of 2.5% is smaller, thus worse.

'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.'

Using this definition on our asset we see for example:- Looking at the 30 days standard deviation of 22.9% in the last 5 years of Express Scripts, we see it is relatively greater, thus worse in comparison to the benchmark SPY (18.8%)
- During the last 3 years, the 30 days standard deviation is 24.8%, which is larger, thus worse than the value of 22.8% 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:- Looking at the downside deviation of 16.4% in the last 5 years of Express Scripts, we see it is relatively higher, thus worse in comparison to the benchmark SPY (13.6%)
- Compared with SPY (16.7%) in the period of the last 3 years, the downside volatility of 17.9% is larger, thus worse.

'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 0.17 in the last 5 years of Express Scripts, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (0.75)
- Looking at risk / return profile (Sharpe) in of 0 in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (0.44).

'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 excess return divided by the downside deviation over 5 years of Express Scripts is 0.23, which is smaller, thus worse compared to the benchmark SPY (1.04) in the same period.
- Looking at downside risk / excess return profile in of 0 in the period of the last 3 years, we see it is relatively smaller, thus worse in comparison to SPY (0.61).

'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.'

Using this definition on our asset we see for example:- Looking at the Ulcer Index of 19 in the last 5 years of Express Scripts, we see it is relatively higher, thus worse in comparison to the benchmark SPY (5.59 )
- During the last 3 years, the Ulcer Index is 20 , which is larger, thus worse than the value of 7.14 from the benchmark.

'A maximum drawdown is the maximum loss from a peak to a trough of a portfolio, before a new peak is attained. Maximum Drawdown is an indicator of downside risk over a specified time period. It can be used both as a stand-alone measure or as an input into other metrics such as 'Return over Maximum Drawdown' and the Calmar Ratio. Maximum Drawdown is expressed in percentage terms.'

Using this definition on our asset we see for example:- Looking at the maximum reduction from previous high of -39.6 days in the last 5 years of Express Scripts, we see it is relatively lower, thus worse in comparison to the benchmark SPY (-33.7 days)
- During the last 3 years, the maximum drop from peak to valley is -35.6 days, which is lower, thus worse than the value of -33.7 days from the benchmark.

'The Maximum 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. It is the length of time the account was in the Max Drawdown. A Max Drawdown measures a retrenchment from when an equity curve reaches a new high. It’s the maximum an account lost during that retrenchment. This method is applied because a valley can’t be measured until a new high occurs. Once the new high is reached, the percentage change from the old high to the bottom of the largest trough is recorded.'

Which means for our asset as example:- Compared with the benchmark SPY (139 days) in the period of the last 5 years, the maximum days below previous high of 794 days of Express Scripts is higher, thus worse.
- During the last 3 years, the maximum days under water is 673 days, which is greater, thus worse than the value of 139 days from the benchmark.

'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 below previous high over 5 years of Express Scripts is 279 days, which is higher, thus worse compared to the benchmark SPY (33 days) in the same period.
- During the last 3 years, the average time in days below previous high water mark is 310 days, which is larger, thus worse than the value of 45 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 Express Scripts 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.