'Total return is the amount of value an investor earns from a security over a specific period, typically one year, when all distributions are reinvested. Total return is expressed as a percentage of the amount invested. For example, a total return of 20% means the security increased by 20% of its original value due to a price increase, distribution of dividends (if a stock), coupons (if a bond) or capital gains (if a fund). Total return is a strong measure of an investmentâ€™s overall performance.'

Applying this definition to our asset in some examples:- The total return over 5 years of American Airlines Group is -64.1%, which is lower, thus worse compared to the benchmark SPY (102%) in the same period.
- Looking at total return, or performance in of -44.6% in the period of the last 3 years, we see it is relatively smaller, thus worse in comparison to SPY (31.5%).

'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.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (15.1%) in the period of the last 5 years, the annual return (CAGR) of -18.5% of American Airlines Group is lower, thus worse.
- Compared with SPY (9.6%) in the period of the last 3 years, the annual performance (CAGR) of -17.9% is lower, thus worse.

'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.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (20.9%) in the period of the last 5 years, the historical 30 days volatility of 61.8% of American Airlines Group is higher, thus worse.
- Looking at 30 days standard deviation in of 45.8% in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (17.6%).

'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.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (14.9%) in the period of the last 5 years, the downside risk of 40.3% of American Airlines Group is larger, thus worse.
- During the last 3 years, the downside deviation is 32.5%, which is greater, thus worse than the value of 12.4% from the benchmark.

'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.'

Using this definition on our asset we see for example:- Looking at the ratio of return and volatility (Sharpe) of -0.34 in the last 5 years of American Airlines Group, we see it is relatively lower, thus worse in comparison to the benchmark SPY (0.6)
- During the last 3 years, the Sharpe Ratio is -0.45, which is smaller, thus worse than the value of 0.4 from the benchmark.

'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.'

Applying this definition to our asset in some examples:- Looking at the excess return divided by the downside deviation of -0.52 in the last 5 years of American Airlines Group, we see it is relatively lower, thus worse in comparison to the benchmark SPY (0.84)
- Looking at ratio of annual return and downside deviation in of -0.63 in the period of the last 3 years, we see it is relatively smaller, thus worse in comparison to SPY (0.57).

'The Ulcer Index is a technical indicator that measures downside risk, in terms of both the depth and duration of price declines. The index increases in value as the price moves farther away from a recent high and falls as the price rises to new highs. The indicator is usually calculated over a 14-day period, with the Ulcer Index showing the percentage drawdown a trader can expect from the high over that period. The greater the value of the Ulcer Index, the longer it takes for a stock to get back to the former high.'

Which means for our asset as example:- Compared with the benchmark SPY (9.32 ) in the period of the last 5 years, the Ulcer Ratio of 49 of American Airlines Group is larger, thus worse.
- Looking at Downside risk index in of 35 in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (10 ).

'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.'

Applying this definition to our asset in some examples:- The maximum DrawDown over 5 years of American Airlines Group is -71 days, which is smaller, thus worse compared to the benchmark SPY (-33.7 days) in the same period.
- Compared with SPY (-24.5 days) in the period of the last 3 years, the maximum reduction from previous high of -58.4 days is lower, thus worse.

'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.'

Which means for our asset as example:- Compared with the benchmark SPY (488 days) in the period of the last 5 years, the maximum days under water of 1227 days of American Airlines Group is larger, thus worse.
- During the last 3 years, the maximum days below previous high is 714 days, which is larger, thus worse than the value of 488 days from the benchmark.

'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.'

Using this definition on our asset we see for example:- Looking at the average time in days below previous high water mark of 600 days in the last 5 years of American Airlines Group, we see it is relatively larger, thus worse in comparison to the benchmark SPY (123 days)
- During the last 3 years, the average time in days below previous high water mark is 344 days, which is greater, thus worse than the value of 177 days from the benchmark.

Historical returns have been extended using synthetic data.
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- Note that yearly returns do not equal the sum of monthly returns due to compounding.
- Performance results of American Airlines Group are hypothetical and do not account for slippage, fees or taxes.