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 increase in value over 5 years of American Airlines Group is -71.2%, which is lower, thus worse compared to the benchmark SPY (75.6%) in the same period.
• Looking at total return, or performance in of -57.4% in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (40%).

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.'

• Looking at the compounded annual growth rate (CAGR) of -22.1% in the last 5 years of American Airlines Group, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (11.9%)
• Looking at annual performance (CAGR) in of -24.8% in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (11.9%).

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.'

• Compared with the benchmark SPY (20.3%) in the period of the last 5 years, the volatility of 60.6% of American Airlines Group is higher, thus worse.
• During the last 3 years, the historical 30 days volatility is 72.4%, which is higher, thus worse than the value of 23.6% from the benchmark.

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 (14.9%) in the period of the last 5 years, the downside deviation of 39.7% of American Airlines Group is greater, thus worse.
• Compared with SPY (17.3%) in the period of the last 3 years, the downside volatility of 46.6% is greater, thus worse.

Sharpe:

'The Sharpe ratio is the measure of risk-adjusted return of a financial portfolio. Sharpe ratio is a measure of excess portfolio return over the risk-free rate relative to its standard deviation. Normally, the 90-day Treasury bill rate is taken as the proxy for risk-free rate. A portfolio with a higher Sharpe ratio is considered superior relative to its peers. The measure was named after William F Sharpe, a Nobel laureate and professor of finance, emeritus at Stanford University.'

• Looking at the Sharpe Ratio of -0.41 in the last 5 years of American Airlines Group, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (0.46)
• During the last 3 years, the risk / return profile (Sharpe) is -0.38, which is smaller, thus worse than the value of 0.4 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 -0.62 in the last 5 years of American Airlines Group, we see it is relatively lower, thus worse in comparison to the benchmark SPY (0.63)
• Looking at ratio of annual return and downside deviation in of -0.59 in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (0.54).

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 (6.62 ) in the period of the last 5 years, the Downside risk index of 55 of American Airlines Group is greater, thus worse.
• Compared with SPY (7.55 ) in the period of the last 3 years, the Downside risk index of 46 is greater, thus worse.

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 (-33.7 days) in the period of the last 5 years, the maximum drop from peak to valley of -84.1 days of American Airlines Group is smaller, thus worse.
• Looking at maximum reduction from previous high in of -73.6 days in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (-33.7 days).

MaxDuration:

'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.'

• The maximum days below previous high over 5 years of American Airlines Group is 1120 days, which is higher, thus worse compared to the benchmark SPY (139 days) in the same period.
• Compared with SPY (120 days) in the period of the last 3 years, the maximum days below previous high of 737 days is larger, 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.'

• Looking at the average days below previous high of 510 days in the last 5 years of American Airlines Group, we see it is relatively larger, thus worse in comparison to the benchmark SPY (37 days)
• Looking at average days below previous high in of 364 days in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (31 days).