Stock Price Trends

Southwest Airlines Company (LUV)

Southwest Airlines Co., typically referred to as Southwest, is one of the major airlines of the United States and the world's largest low-cost carrier airline. It is headquartered in Dallas, 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 25.71% per annum.
  • LUV price at the close of July 26, 2024 was $27.23 and was higher than the top border of the primary price channel by $3.42 (14.38%). This indicates a possible reversal in the primary trend direction.
  • The secondary trend is decreasing.
  • The decline rate of the secondary trend is 18.74% per annum.
  • LUV price at the close of July 26, 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 LUV 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 8, 2021
End date: June 13, 2023

a = 4.5200

b = -0.0008

s = 0.0677

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × -0.0008) – 1
= -25.71%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0677) – 1
= 31.11%

February 8, 2021 calculations

Top border of price channel:

Exp(Y386)
= Exp(a + b × X386 + 2 × s)
= Exp(a + b × 560 + 2 × s)
= Exp(4.5200 + -0.0008 × 560 + 2 × 0.0677)
= Exp(4.1993)
= $66.64

Bottom border of price channel:

Exp(Y386)
= Exp(a + b × X386 – 2 × s)
= Exp(a + b × 560 – 2 × s)
= Exp(4.5200 + -0.0008 × 560 – 2 × 0.0677)
= Exp(3.9285)
= $50.83

June 13, 2023 calculations

Top border of price channel:

Exp(Y976)
= Exp(a + b × X976 + 2 × s)
= Exp(a + b × 1,415 + 2 × s)
= Exp(4.5200 + -0.0008 × 1,415 + 2 × 0.0677)
= Exp(3.5031)
= $33.22

Bottom border of price channel:

Exp(Y976)
= Exp(a + b × X976 – 2 × s)
= Exp(a + b × 1,415 – 2 × s)
= Exp(4.5200 + -0.0008 × 1,415 – 2 × 0.0677)
= Exp(3.2322)
= $25.34

Description

  • The primary trend is decreasing.
  • The decline rate of the primary trend is 25.71% per annum.
  • LUV price at the close of July 26, 2024 was $27.23 and was higher than the top border of the primary price channel by $3.42 (14.38%). This indicates a possible reversal in the primary trend direction.

Secondary Trend

Start date: June 28, 2021
End date: July 26, 2024

a = 4.2650

b = -0.0006

s = 0.0928

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × -0.0006) – 1
= -18.74%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0928) – 1
= 44.92%

June 28, 2021 calculations

Top border of price channel:

Exp(Y483)
= Exp(a + b × X483 + 2 × s)
= Exp(a + b × 700 + 2 × s)
= Exp(4.2650 + -0.0006 × 700 + 2 × 0.0928)
= Exp(4.0525)
= $57.54

Bottom border of price channel:

Exp(Y483)
= Exp(a + b × X483 – 2 × s)
= Exp(a + b × 700 – 2 × s)
= Exp(4.2650 + -0.0006 × 700 – 2 × 0.0928)
= Exp(3.6815)
= $39.70

July 26, 2024 calculations

Top border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 + 2 × s)
= Exp(a + b × 1,824 + 2 × s)
= Exp(4.2650 + -0.0006 × 1,824 + 2 × 0.0928)
= Exp(3.4134)
= $30.37

Bottom border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,824 – 2 × s)
= Exp(4.2650 + -0.0006 × 1,824 – 2 × 0.0928)
= Exp(3.0424)
= $20.96

Description

  • The secondary trend is decreasing.
  • The decline rate of the secondary trend is 18.74% per annum.
  • LUV price at the close of July 26, 2024 was inside the secondary price channel.