'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.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (66%) in the period of the last 5 years, the total return, or increase in value of -16.2% of Walgreens Boots Alliance is lower, thus worse.
- Compared with SPY (45.6%) in the period of the last 3 years, the total return, or increase in value of -29.7% is lower, thus worse.

'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.'

Applying this definition to our asset in some examples:- Looking at the annual performance (CAGR) of -3.5% in the last 5 years of Walgreens Boots Alliance, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (10.7%)
- During the last 3 years, the annual return (CAGR) is -11.1%, which is lower, thus worse than the value of 13.3% from the benchmark.

'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:- The 30 days standard deviation over 5 years of Walgreens Boots Alliance is 25.5%, which is larger, thus worse compared to the benchmark SPY (13.4%) in the same period.
- Compared with SPY (12.3%) in the period of the last 3 years, the volatility of 23.4% is greater, thus worse.

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

Which means for our asset as example:- Looking at the downside deviation of 27.9% in the last 5 years of Walgreens Boots Alliance, we see it is relatively greater, thus worse in comparison to the benchmark SPY (14.6%)
- During the last 3 years, the downside volatility is 26.8%, which is greater, thus worse than the value of 13.8% from the benchmark.

'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 ratio of return and volatility (Sharpe) of -0.23 in the last 5 years of Walgreens Boots Alliance, we see it is relatively lower, thus worse in comparison to the benchmark SPY (0.61)
- Compared with SPY (0.88) in the period of the last 3 years, the ratio of return and volatility (Sharpe) of -0.58 is lower, thus worse.

'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.'

Using this definition on our asset we see for example:- The excess return divided by the downside deviation over 5 years of Walgreens Boots Alliance is -0.21, which is lower, thus worse compared to the benchmark SPY (0.56) in the same period.
- Compared with SPY (0.78) in the period of the last 3 years, the ratio of annual return and downside deviation of -0.51 is smaller, thus worse.

'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.'

Which means for our asset as example:- The Ulcer Index over 5 years of Walgreens Boots Alliance is 19 , which is higher, thus worse compared to the benchmark SPY (3.99 ) in the same period.
- Compared with SPY (4.04 ) in the period of the last 3 years, the Ulcer Index of 18 is higher, thus worse.

'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.'

Applying this definition to our asset in some examples:- Looking at the maximum drop from peak to valley of -44.5 days in the last 5 years of Walgreens Boots Alliance, we see it is relatively lower, thus worse in comparison to the benchmark SPY (-19.3 days)
- During the last 3 years, the maximum drop from peak to valley is -41.6 days, which is lower, thus worse than the value of -19.3 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). 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'

Using this definition on our asset we see for example:- The maximum time in days below previous high water mark over 5 years of Walgreens Boots Alliance is 995 days, which is higher, thus worse compared to the benchmark SPY (187 days) in the same period.
- Compared with SPY (139 days) in the period of the last 3 years, the maximum days below previous high of 443 days is greater, thus worse.

'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.'

Using this definition on our asset we see for example:- Looking at the average time in days below previous high water mark of 408 days in the last 5 years of Walgreens Boots Alliance, we see it is relatively greater, thus worse in comparison to the benchmark SPY (41 days)
- Looking at average days under water in of 153 days in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (36 days).

Historical returns have been extended using synthetic data.
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- "Year" returns in the table above are not equal to the sum of monthly returns due to compounding.
- Performance results of Walgreens Boots Alliance 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.