Stock Price Trends

American Airlines Group (AAL)

American Airlines Group Inc. is an American publicly traded airline holding company headquartered in Fort Worth, Texas.

Stock Price Trends

Stock price trends estimated using linear regression.

Key facts

  • The primary trend is decreasing.
  • The decline rate of the primary trend is 60.45% per annum.
  • AAL price at the close of July 25, 2024 was $10.60 and was inside the primary price channel.
  • The secondary trend is decreasing.
  • The decline rate of the secondary trend is 45.52% per annum.
  • AAL price at the close of July 25, 2024 was inside the secondary price channel.

Linear Regression Model

Model equation:
Yi = α + β × Xi + εi

Top border of price channel:
Exp(Yi) = Exp(a + b × Xi + 2 × s)

Bottom border of price channel:
Exp(Yi) = Exp(a + b × Xi – 2 × s)

where:

i - observation number
Yi - natural logarithm of AAL price
Xi - time index, 1 day interval
σ - standard deviation of εi
a - estimator of α
b - estimator of β
s - estimator of σ
Exp() - calculates the exponent of e


Primary Trend

Start date: February 21, 2024
End date: July 25, 2024

a = 7.0125

b = -0.0025

s = 0.0606

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × -0.0025) – 1
= -60.45%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0606) – 1
= 27.42%

February 21, 2024 calculations

Top border of price channel:

Exp(Y1,150)
= Exp(a + b × X1,150 + 2 × s)
= Exp(a + b × 1,671 + 2 × s)
= Exp(7.0125 + -0.0025 × 1,671 + 2 × 0.0606)
= Exp(2.8866)
= $17.93

Bottom border of price channel:

Exp(Y1,150)
= Exp(a + b × X1,150 – 2 × s)
= Exp(a + b × 1,671 – 2 × s)
= Exp(7.0125 + -0.0025 × 1,671 – 2 × 0.0606)
= Exp(2.6443)
= $14.07

July 25, 2024 calculations

Top border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 + 2 × s)
= Exp(a + b × 1,826 + 2 × s)
= Exp(7.0125 + -0.0025 × 1,826 + 2 × 0.0606)
= Exp(2.4927)
= $12.09

Bottom border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(7.0125 + -0.0025 × 1,826 – 2 × 0.0606)
= Exp(2.2504)
= $9.49

Description

  • The primary trend is decreasing.
  • The decline rate of the primary trend is 60.45% per annum.
  • AAL price at the close of July 25, 2024 was $10.60 and was inside the primary price channel.

Secondary Trend

Start date: May 29, 2024
End date: July 25, 2024

a = 5.3999

b = -0.0017

s = 0.0142

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × -0.0017) – 1
= -45.52%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0142) – 1
= 5.83%

May 29, 2024 calculations

Top border of price channel:

Exp(Y1,218)
= Exp(a + b × X1,218 + 2 × s)
= Exp(a + b × 1,769 + 2 × s)
= Exp(5.3999 + -0.0017 × 1,769 + 2 × 0.0142)
= Exp(2.4848)
= $12.00

Bottom border of price channel:

Exp(Y1,218)
= Exp(a + b × X1,218 – 2 × s)
= Exp(a + b × 1,769 – 2 × s)
= Exp(5.3999 + -0.0017 × 1,769 – 2 × 0.0142)
= Exp(2.4281)
= $11.34

July 25, 2024 calculations

Top border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 + 2 × s)
= Exp(a + b × 1,826 + 2 × s)
= Exp(5.3999 + -0.0017 × 1,826 + 2 × 0.0142)
= Exp(2.3899)
= $10.91

Bottom border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(5.3999 + -0.0017 × 1,826 – 2 × 0.0142)
= Exp(2.3333)
= $10.31

Description

  • The secondary trend is decreasing.
  • The decline rate of the secondary trend is 45.52% per annum.
  • AAL price at the close of July 25, 2024 was inside the secondary price channel.