'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, 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 (85.9%)
- Looking at total return, or performance in of 7.8% in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (42.4%).

'Compound annual growth rate (CAGR) is a business and investing specific term for the geometric progression ratio that provides a constant rate of return over the time period. CAGR is not an accounting term, but it is often used to describe some element of the business, for example revenue, units delivered, registered users, etc. CAGR dampens the effect of volatility of periodic returns that can render arithmetic means irrelevant. It is particularly useful to compare growth rates from various data sets of common domain such as revenue growth of companies in the same industry.'

Using this definition on our asset we see for example:- Looking at the compounded annual growth rate (CAGR) of 6.3% in the last 5 years of Express Scripts, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (13.2%)
- Compared with SPY (12.5%) in the period of the last 3 years, the annual performance (CAGR) of 2.5% is smaller, 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.'

Applying this definition to our asset in some examples:- The volatility over 5 years of Express Scripts is 22.9%, which is greater, thus worse compared to the benchmark SPY (18.8%) in the same period.
- During the last 3 years, the 30 days standard deviation is 24.8%, which is greater, thus worse than the value of 22.5% from the benchmark.

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

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (13.7%) in the period of the last 5 years, the downside risk of 16.4% of Express Scripts is larger, thus worse.
- Compared with SPY (16.5%) in the period of the last 3 years, the downside deviation of 17.9% is greater, thus worse.

'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 0.17 in the last 5 years of Express Scripts, we see it is relatively lower, thus worse in comparison to the benchmark SPY (0.57)
- During the last 3 years, the risk / return profile (Sharpe) is 0, which is smaller, thus worse than the value of 0.44 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.'

Applying this definition to our asset in some examples:- Looking at the downside risk / excess return profile of 0.23 in the last 5 years of Express Scripts, we see it is relatively lower, thus worse in comparison to the benchmark SPY (0.78)
- During the last 3 years, the downside risk / excess return profile is 0, which is lower, thus worse than the value of 0.6 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:- Compared with the benchmark SPY (5.81 ) in the period of the last 5 years, the Ulcer Index of 19 of Express Scripts is larger, thus worse.
- Looking at Ulcer Index in of 20 in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (7.11 ).

'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.'

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 -39.6 days of Express Scripts is lower, thus worse.
- During the last 3 years, the maximum reduction from previous high 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 time in days below previous high water mark of 794 days of Express Scripts is higher, thus worse.
- Compared with SPY (139 days) in the period of the last 3 years, the maximum days under water of 673 days is larger, 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.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (37 days) in the period of the last 5 years, the average days under water of 279 days of Express Scripts is greater, thus worse.
- Compared with SPY (45 days) in the period of the last 3 years, the average days below previous high of 310 days is greater, thus worse.

Historical returns have been extended using synthetic data.
[Show Details]

- 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.