Description

United Airlines Holdings, Inc., through its subsidiaries, provides air transportation services in North America, Asia, Europe, Africa, the Pacific, the Middle East, and Latin America. It transports people and cargo through its mainline and regional fleets. As of February 28, 2020, the company operated approximately 791 mainline aircraft. It also sells fuel; and offers catering, ground handling, and maintenance services for third parties. The company was formerly known as United Continental Holdings, Inc. and changed its name to United Airlines Holdings, Inc. in June 2019. United Airlines Holdings, Inc. was founded in 1934 and is headquartered in Chicago, Illinois.

Statistics (YTD)

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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.'

Which means for our asset as example:
  • The total return, or increase in value over 5 years of United Airlines is 104.4%, which is higher, thus better compared to the benchmark SPY (87.2%) in the same period.
  • During the last 3 years, the total return, or increase in value is 125.1%, which is larger, thus better than the value of 77.7% from the benchmark.

CAGR:

'Compound annual growth rate (CAGR) is a business and investing specific term for the geometric progression ratio that provides a constant rate of return over the time period. CAGR is not an accounting term, but it is often used to describe some element of the business, for example revenue, units delivered, registered users, etc. CAGR dampens the effect of volatility of periodic returns that can render arithmetic means irrelevant. It is particularly useful to compare growth rates from various data sets of common domain such as revenue growth of companies in the same industry.'

Applying this definition to our asset in some examples:
  • The compounded annual growth rate (CAGR) over 5 years of United Airlines is 15.4%, which is higher, thus better compared to the benchmark SPY (13.4%) in the same period.
  • During the last 3 years, the compounded annual growth rate (CAGR) is 31.2%, which is higher, thus better than the value of 21.2% 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.'

Applying this definition to our asset in some examples:
  • Looking at the volatility of 48.8% in the last 5 years of United Airlines, we see it is relatively greater, thus worse in comparison to the benchmark SPY (17.1%)
  • During the last 3 years, the historical 30 days volatility is 49.1%, 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.'

Applying this definition to our asset in some examples:
  • Compared with the benchmark SPY (11.8%) in the period of the last 5 years, the downside volatility of 32.1% of United Airlines is larger, thus worse.
  • Compared with SPY (10.2%) in the period of the last 3 years, the downside risk of 30.7% is higher, thus worse.

Sharpe:

'The Sharpe ratio (also known as the Sharpe index, the Sharpe measure, and the reward-to-variability ratio) is a way to examine the performance of an investment by adjusting for its risk. The ratio measures the excess return (or risk premium) per unit of deviation in an investment asset or a trading strategy, typically referred to as risk, named after William F. Sharpe.'

Using this definition on our asset we see for example:
  • Compared with the benchmark SPY (0.64) in the period of the last 5 years, the ratio of return and volatility (Sharpe) of 0.26 of United Airlines is smaller, thus worse.
  • During the last 3 years, the Sharpe Ratio is 0.58, which is lower, thus worse than the value of 1.23 from the benchmark.

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.'

Which means for our asset as example:
  • The excess return divided by the downside deviation over 5 years of United Airlines is 0.4, which is lower, thus worse compared to the benchmark SPY (0.92) in the same period.
  • Compared with SPY (1.83) in the period of the last 3 years, the ratio of annual return and downside deviation of 0.94 is lower, thus worse.

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.'

Applying this definition to our asset in some examples:
  • Compared with the benchmark SPY (8.45 ) in the period of the last 5 years, the Ulcer Index of 22 of United Airlines is greater, thus worse.
  • Looking at Ulcer Index in of 20 in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (3.51 ).

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.'

Applying this definition to our asset in some examples:
  • The maximum reduction from previous high over 5 years of United Airlines is -49.2 days, which is lower, thus worse compared to the benchmark SPY (-24.5 days) in the same period.
  • Compared with SPY (-18.8 days) in the period of the last 3 years, the maximum reduction from previous high of -49.2 days is lower, 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.'

Applying this definition to our asset in some examples:
  • Looking at the maximum days under water of 528 days in the last 5 years of United Airlines, we see it is relatively larger, thus worse in comparison to the benchmark SPY (488 days)
  • Looking at maximum time in days below previous high water mark in of 297 days in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (87 days).

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.'

Using this definition on our asset we see for example:
  • Compared with the benchmark SPY (119 days) in the period of the last 5 years, the average days under water of 178 days of United Airlines is greater, thus worse.
  • Compared with SPY (20 days) in the period of the last 3 years, the average time in days below previous high water mark of 108 days is higher, thus worse.

Performance (YTD)

Historical returns have been extended using synthetic data.

Allocations ()

Allocations

Returns (%)

  • Note that yearly returns do not equal the sum of monthly returns due to compounding.
  • Performance results of United Airlines are hypothetical and do not account for slippage, fees or taxes.