American Airlines Group (AAL)

TotalReturn:

'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.'

• Compared with the benchmark SPY (80%) in the period of the last 5 years, the total return of -55.9% of American Airlines Group is lower, thus worse.
• Looking at total return in of -30.6% in the period of the last 3 years, we see it is relatively smaller, thus worse in comparison to SPY (78.8%).

CAGR:

'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.'

• The annual return (CAGR) over 5 years of American Airlines Group is -15.2%, which is lower, thus worse compared to the benchmark SPY (12.5%) in the same period.
• During the last 3 years, the annual return (CAGR) is -11.5%, which is smaller, thus worse than the value of 21.5% from the benchmark.

Volatility:

'Volatility is a rate at which the price of a security increases or decreases for a given set of returns. Volatility is measured by calculating the standard deviation of the annualized returns over a given period of time. It shows the range to which the price of a security may increase or decrease. Volatility measures the risk of a security. It is used in option pricing formula to gauge the fluctuations in the returns of the underlying assets. Volatility indicates the pricing behavior of the security and helps estimate the fluctuations that may happen in a short period of time.'

• The 30 days standard deviation over 5 years of American Airlines Group is 47.9%, which is higher, thus worse compared to the benchmark SPY (17%) in the same period.
• Compared with SPY (15.1%) in the period of the last 3 years, the historical 30 days volatility of 46.1% 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.'

• Compared with the benchmark SPY (11.7%) in the period of the last 5 years, the downside risk of 32.9% of American Airlines Group is greater, thus worse.
• During the last 3 years, the downside deviation is 31.4%, which is greater, thus worse than the value of 10.1% from the benchmark.

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 ratio of return and volatility (Sharpe) of -0.37 in the last 5 years of American Airlines Group, we see it is relatively lower, thus worse in comparison to the benchmark SPY (0.59)
• Compared with SPY (1.26) in the period of the last 3 years, the Sharpe Ratio of -0.3 is smaller, thus worse.

Sortino:

'The Sortino ratio measures the risk-adjusted return of an investment asset, portfolio, or strategy. It is a modification of the Sharpe ratio but penalizes only those returns falling below a user-specified target or required rate of return, while the Sharpe ratio penalizes both upside and downside volatility equally. Though both ratios measure an investment's risk-adjusted return, they do so in significantly different ways that will frequently lead to differing conclusions as to the true nature of the investment's return-generating efficiency. The Sortino ratio is used as a way to compare the risk-adjusted performance of programs with differing risk and return profiles. In general, risk-adjusted returns seek to normalize the risk across programs and then see which has the higher return unit per risk.'

• The downside risk / excess return profile over 5 years of American Airlines Group is -0.54, which is lower, thus worse compared to the benchmark SPY (0.86) in the same period.
• Compared with SPY (1.89) in the period of the last 3 years, the ratio of annual return and downside deviation of -0.45 is lower, thus worse.

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.'

• Looking at the Ulcer Ratio of 44 in the last 5 years of American Airlines Group, we see it is relatively larger, thus worse in comparison to the benchmark SPY (8.42 )
• Compared with SPY (3.39 ) in the period of the last 3 years, the Ulcer Index of 30 is greater, thus worse.

MaxDD:

'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.'

• Looking at the maximum reduction from previous high of -64.9 days in the last 5 years of American Airlines Group, we see it is relatively lower, thus worse in comparison to the benchmark SPY (-24.5 days)
• During the last 3 years, the maximum drop from peak to valley is -51.8 days, which is lower, thus worse than the value of -18.8 days from the benchmark.

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) in days.'

• Looking at the maximum time in days below previous high water mark of 1200 days in the last 5 years of American Airlines Group, we see it is relatively higher, thus worse in comparison to the benchmark SPY (488 days)
• Compared with SPY (87 days) in the period of the last 3 years, the maximum days below previous high of 671 days is greater, thus worse.

AveDuration:

'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.'

• The average days below previous high over 5 years of American Airlines Group is 576 days, which is larger, thus worse compared to the benchmark SPY (119 days) in the same period.
• During the last 3 years, the average days under water is 308 days, which is larger, thus worse than the value of 19 days from the benchmark.