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.'

• The total return, or performance over 5 years of American Airlines Group is -19.6%, which is lower, thus worse compared to the benchmark SPY (86%) in the same period.
• During the last 3 years, the total return is -15.9%, which is lower, thus worse than the value of 71.8% 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 compounded annual growth rate (CAGR) over 5 years of American Airlines Group is -4.3%, which is lower, thus worse compared to the benchmark SPY (13.3%) in the same period.
• Compared with SPY (19.9%) in the period of the last 3 years, the compounded annual growth rate (CAGR) of -5.6% is smaller, thus worse.

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 historical 30 days volatility 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.
• During the last 3 years, the historical 30 days volatility is 45.5%, which is larger, thus worse than the value of 15.2% from the benchmark.

DownVol:

'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 (11.8%) in the period of the last 5 years, the downside risk of 32.4% of American Airlines Group is higher, thus worse.
• During the last 3 years, the downside deviation is 30.7%, which is larger, thus worse than the value of 10.2% 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.'

• The Sharpe Ratio over 5 years of American Airlines Group is -0.14, which is lower, thus worse compared to the benchmark SPY (0.63) in the same period.
• During the last 3 years, the Sharpe Ratio is -0.18, which is smaller, thus worse than the value of 1.14 from the benchmark.

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.'

• Looking at the ratio of annual return and downside deviation of -0.21 in the last 5 years of American Airlines Group, we see it is relatively lower, thus worse in comparison to the benchmark SPY (0.92)
• Compared with SPY (1.7) in the period of the last 3 years, the excess return divided by the downside deviation of -0.27 is lower, thus worse.

Ulcer:

'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.'

• The Ulcer Ratio over 5 years of American Airlines Group is 43 , which is greater, thus worse compared to the benchmark SPY (8.42 ) in the same period.
• Looking at Ulcer Index in of 30 in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (3.48 ).

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 drop from peak to valley of -64.9 days of American Airlines Group is lower, thus worse.
• Compared with SPY (-18.8 days) in the period of the last 3 years, the maximum reduction from previous high of -51.8 days is lower, thus worse.

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.'

• The maximum days below previous high over 5 years of American Airlines Group is 1181 days, which is larger, thus worse compared to the benchmark SPY (488 days) in the same period.
• During the last 3 years, the maximum time in days below previous high water mark is 652 days, which is higher, thus worse than the value of 87 days from the benchmark.

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.'

• The average days below previous high over 5 years of American Airlines Group is 561 days, which is higher, thus worse compared to the benchmark SPY (119 days) in the same period.
• Compared with SPY (19 days) in the period of the last 3 years, the average time in days below previous high water mark of 292 days is larger, thus worse.