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 -22.5%, which is smaller, thus worse compared to the benchmark SPY (100.3%) in the same period.
• Compared with SPY (77.1%) in the period of the last 3 years, the total return, or increase in value of -17.6% is smaller, thus worse.

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 -5%, which is lower, thus worse compared to the benchmark SPY (15%) in the same period.
• During the last 3 years, the compounded annual growth rate (CAGR) is -6.3%, which is lower, thus worse than the value of 21.1% 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.'

• Looking at the volatility of 47.8% in the last 5 years of American Airlines Group, we see it is relatively larger, thus worse in comparison to the benchmark SPY (17%)
• Compared with SPY (15.2%) in the period of the last 3 years, the 30 days standard deviation of 45.2% is greater, 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.'

• The downside volatility over 5 years of American Airlines Group is 32.3%, which is larger, thus worse compared to the benchmark SPY (11.7%) in the same period.
• During the last 3 years, the downside volatility is 30.5%, 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.'

• Looking at the ratio of return and volatility (Sharpe) of -0.16 in the last 5 years of American Airlines Group, we see it is relatively lower, thus worse in comparison to the benchmark SPY (0.73)
• Looking at ratio of return and volatility (Sharpe) in of -0.19 in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (1.23).

Sortino:

'The Sortino ratio, a variation of the Sharpe ratio only factors in the downside, or negative volatility, rather than the total volatility used in calculating the Sharpe ratio. The theory behind the Sortino variation is that upside volatility is a plus for the investment, and it, therefore, should not be included in the risk calculation. Therefore, the Sortino ratio takes upside volatility out of the equation and uses only the downside standard deviation in its calculation instead of the total standard deviation that is used in calculating the Sharpe ratio.'

• Compared with the benchmark SPY (1.06) in the period of the last 5 years, the downside risk / excess return profile of -0.23 of American Airlines Group is lower, thus worse.
• During the last 3 years, the downside risk / excess return profile is -0.29, which is smaller, thus worse than the value of 1.83 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 Ulcer Ratio of 43 in the last 5 years of American Airlines Group, we see it is relatively higher, thus worse in comparison to the benchmark SPY (8.42 )
• Compared with SPY (3.51 ) in the period of the last 3 years, the Ulcer Index of 30 is higher, 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.'

• Looking at the maximum drop from peak to valley 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 reduction from previous high 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.'

• The maximum time in days below previous high water mark over 5 years of American Airlines Group is 1171 days, which is higher, thus worse compared to the benchmark SPY (488 days) in the same period.
• During the last 3 years, the maximum days under water is 642 days, which is greater, 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.'

• Compared with the benchmark SPY (120 days) in the period of the last 5 years, the average days under water of 553 days of American Airlines Group is larger, thus worse.
• Compared with SPY (21 days) in the period of the last 3 years, the average days under water of 285 days is greater, thus worse.