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 over 5 years of American Airlines Group is 8.8%, which is smaller, thus worse compared to the benchmark SPY (107.8%) in the same period.
• Looking at total return, or increase in value in of -38.2% in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (43.5%).

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.'

• Compared with the benchmark SPY (15.8%) in the period of the last 5 years, the compounded annual growth rate (CAGR) of 1.7% of American Airlines Group is smaller, thus worse.
• Compared with SPY (12.9%) in the period of the last 3 years, the annual performance (CAGR) of -14.9% is lower, thus worse.

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.'

• Looking at the 30 days standard deviation of 55.9% in the last 5 years of American Airlines Group, we see it is relatively larger, thus worse in comparison to the benchmark SPY (17.9%)
• Looking at 30 days standard deviation in of 47.2% in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (18.4%).

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.'

• Looking at the downside volatility of 34.9% in the last 5 years of American Airlines Group, we see it is relatively larger, thus worse in comparison to the benchmark SPY (12.5%)
• Compared with SPY (12.6%) in the period of the last 3 years, the downside risk of 32.6% is higher, thus worse.

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 ratio of return and volatility (Sharpe) over 5 years of American Airlines Group is -0.01, which is lower, thus worse compared to the benchmark SPY (0.74) in the same period.
• Looking at ratio of return and volatility (Sharpe) in of -0.37 in the period of the last 3 years, we see it is relatively smaller, thus worse in comparison to SPY (0.56).

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 downside risk / excess return profile of -0.02 in the last 5 years of American Airlines Group, we see it is relatively lower, thus worse in comparison to the benchmark SPY (1.07)
• During the last 3 years, the ratio of annual return and downside deviation is -0.53, which is lower, thus worse than the value of 0.82 from the benchmark.

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 Downside risk index of 40 in the last 5 years of American Airlines Group, we see it is relatively higher, thus worse in comparison to the benchmark SPY (8.48 )
• Compared with SPY (5.54 ) in the period of the last 3 years, the Ulcer Index of 28 is greater, thus worse.

MaxDD:

'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.'

• Compared with the benchmark SPY (-24.5 days) in the period of the last 5 years, the maximum DrawDown of -64.9 days of American Airlines Group is smaller, 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 smaller, thus worse.

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.'

• Looking at the maximum time in days below previous high water mark of 988 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 (199 days) in the period of the last 3 years, the maximum days under water of 459 days is larger, thus worse.

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 (119 days) in the period of the last 5 years, the average days under water of 407 days of American Airlines Group is larger, thus worse.
• Compared with SPY (44 days) in the period of the last 3 years, the average time in days below previous high water mark of 192 days is greater, thus worse.