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 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 investment’s overall performance.'

Which means for our asset as example:
  • Compared with the benchmark SPY (93.7%) in the period of the last 5 years, the total return, or performance of 166.7% of United Airlines is larger, thus better.
  • During the last 3 years, the total return, or increase in value is 173.4%, which is greater, thus better than the value of 84.8% from the benchmark.

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.'

Using this definition on our asset we see for example:
  • Compared with the benchmark SPY (14.2%) in the period of the last 5 years, the annual return (CAGR) of 21.8% of United Airlines is greater, thus better.
  • During the last 3 years, the compounded annual growth rate (CAGR) is 40%, which is higher, thus better than the value of 22.8% 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.'

Which means for our asset as example:
  • Looking at the historical 30 days volatility of 48% 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 volatility is 46.5%, which is larger, thus worse than the value of 15.3% from the benchmark.

DownVol:

'The downside volatility is similar to the volatility, or standard deviation, but only takes losing/negative periods into account.'

Using this definition on our asset we see for example:
  • Compared with the benchmark SPY (11.8%) in the period of the last 5 years, the downside volatility of 31.7% of United Airlines is larger, thus worse.
  • During the last 3 years, the downside risk is 29.2%, which is greater, 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.'

Which means for our asset as example:
  • Compared with the benchmark SPY (0.68) in the period of the last 5 years, the Sharpe Ratio of 0.4 of United Airlines is lower, thus worse.
  • Compared with SPY (1.33) in the period of the last 3 years, the Sharpe Ratio of 0.81 is lower, thus worse.

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.'

Applying this definition to our asset in some examples:
  • Looking at the ratio of annual return and downside deviation of 0.61 in the last 5 years of United Airlines, we see it is relatively lower, thus worse in comparison to the benchmark SPY (0.99)
  • Looking at ratio of annual return and downside deviation in of 1.29 in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (2).

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.'

Which means for our asset as example:
  • Looking at the Ulcer Ratio of 26 in the last 5 years of United Airlines, we see it is relatively larger, thus worse in comparison to the benchmark SPY (8.42 )
  • During the last 3 years, the Ulcer Ratio is 20 , which is higher, thus worse than the value of 3.51 from the benchmark.

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.'

Which means for our asset as example:
  • The maximum DrawDown over 5 years of United Airlines is -50 days, which is smaller, 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.'

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 below previous high of 899 days of United Airlines is higher, thus worse.
  • During the last 3 years, the maximum days under water is 297 days, which is higher, 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.'

Using this definition on our asset we see for example:
  • Looking at the average time in days below previous high water mark of 356 days in the last 5 years of United Airlines, we see it is relatively larger, thus worse in comparison to the benchmark SPY (119 days)
  • Looking at average days under water in of 105 days in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (21 days).

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.