Express Scripts (ESRX)

TotalReturn:

'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.'

• The total return, or increase in value over 5 years of Express Scripts is 33.9%, which is smaller, thus worse compared to the benchmark SPY (115.1%) in the same period.
• During the last 3 years, the total return, or performance is 7.8%, which is lower, thus worse than the value of 71.1% from the benchmark.

CAGR:

'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.'

• The annual return (CAGR) over 5 years of Express Scripts is 6%, which is smaller, thus worse compared to the benchmark SPY (16.6%) in the same period.
• Looking at annual performance (CAGR) in of 2.5% in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (19.7%).

Volatility:

'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.'

• The 30 days standard deviation over 5 years of Express Scripts is 22.9%, which is higher, thus worse compared to the benchmark SPY (17.5%) in the same period.
• Compared with SPY (17.5%) in the period of the last 3 years, the volatility of 24.8% is higher, thus worse.

DownVol:

'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.'

• Looking at the downside deviation of 16.4% in the last 5 years of Express Scripts, we see it is relatively larger, thus worse in comparison to the benchmark SPY (12.1%)
• Looking at downside volatility in of 17.9% in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (11.5%).

Sharpe:

'The Sharpe ratio was developed by Nobel laureate William F. Sharpe, and is used to help investors understand the return of an investment compared to its risk. The ratio is the average return earned in excess of the risk-free rate per unit of volatility or total risk. Subtracting the risk-free rate from the mean return allows an investor to better isolate the profits associated with risk-taking activities. One intuition of this calculation is that a portfolio engaging in 'zero risk' investments, such as the purchase of U.S. Treasury bills (for which the expected return is the risk-free rate), has a Sharpe ratio of exactly zero. Generally, the greater the value of the Sharpe ratio, the more attractive the risk-adjusted return.'

• Looking at the Sharpe Ratio of 0.15 in the last 5 years of Express Scripts, we see it is relatively lower, thus worse in comparison to the benchmark SPY (0.8)
• Compared with SPY (0.98) in the period of the last 3 years, the risk / return profile (Sharpe) of 0 is lower, thus worse.

Sortino:

'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.'

• Looking at the excess return divided by the downside deviation of 0.21 in the last 5 years of Express Scripts, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (1.17)
• Looking at downside risk / excess return profile in of 0 in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (1.49).

Ulcer:

'Ulcer Index is a method for measuring investment risk that addresses the real concerns of investors, unlike the widely used standard deviation of return. UI is a measure of the depth and duration of drawdowns in prices from earlier highs. Using Ulcer Index instead of standard deviation can lead to very different conclusions about investment risk and risk-adjusted return, especially when evaluating strategies that seek to avoid major declines in portfolio value (market timing, dynamic asset allocation, hedge funds, etc.). The Ulcer Index was originally developed in 1987. Since then, it has been widely recognized and adopted by the investment community. According to Nelson Freeburg, editor of Formula Research, Ulcer Index is “perhaps the most fully realized statistical portrait of risk there is.'

• Compared with the benchmark SPY (8.48 ) in the period of the last 5 years, the Ulcer Index of 19 of Express Scripts is greater, thus worse.
• Looking at Ulcer Ratio in of 20 in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (5.31 ).

MaxDD:

'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.'

• Compared with the benchmark SPY (-24.5 days) in the period of the last 5 years, the maximum DrawDown of -39.6 days of Express Scripts is lower, thus worse.
• Looking at maximum reduction from previous high in of -35.6 days in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (-18.8 days).

MaxDuration:

'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). Many assume Max DD Duration is the length of time between new highs during which the Max DD (magnitude) occurred. But that isn’t always the case. The Max DD duration is the longest time between peaks, period. So it could be the time when the program also had its biggest peak to valley loss (and usually is, because the program needs a long time to recover from the largest loss), but it doesn’t have to be'

• Looking at the maximum days below previous high of 794 days in the last 5 years of Express Scripts, we see it is relatively higher, thus worse in comparison to the benchmark SPY (488 days)
• Looking at maximum time in days below previous high water mark in of 673 days in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (199 days).

AveDuration:

'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.'

• Compared with the benchmark SPY (120 days) in the period of the last 5 years, the average time in days below previous high water mark of 279 days of Express Scripts is greater, thus worse.
• Looking at average days under water in of 310 days in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (47 days).