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 26.00% per annum.
  • LUV price at the close of May 8, 2024 was $27.18 and was higher than the top border of the primary price channel by $1.88 (7.43%). This indicates a possible reversal in the primary trend direction.
  • The secondary trend is decreasing.
  • The decline rate of the secondary trend is 19.72% per annum.
  • LUV price at the close of May 8, 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 16, 2021
End date: June 12, 2023

a = 4.6050

b = -0.0008

s = 0.0663

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × -0.0008) – 1
= -26.00%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0663) – 1
= 30.35%

February 16, 2021 calculations

Top border of price channel:

Exp(Y446)
= Exp(a + b × X446 + 2 × s)
= Exp(a + b × 649 + 2 × s)
= Exp(4.6050 + -0.0008 × 649 + 2 × 0.0663)
= Exp(4.2020)
= $66.82

Bottom border of price channel:

Exp(Y446)
= Exp(a + b × X446 – 2 × s)
= Exp(a + b × 649 – 2 × s)
= Exp(4.6050 + -0.0008 × 649 – 2 × 0.0663)
= Exp(3.9369)
= $51.26

June 12, 2023 calculations

Top border of price channel:

Exp(Y1,030)
= Exp(a + b × X1,030 + 2 × s)
= Exp(a + b × 1,495 + 2 × s)
= Exp(4.6050 + -0.0008 × 1,495 + 2 × 0.0663)
= Exp(3.5040)
= $33.25

Bottom border of price channel:

Exp(Y1,030)
= Exp(a + b × X1,030 – 2 × s)
= Exp(a + b × 1,495 – 2 × s)
= Exp(4.6050 + -0.0008 × 1,495 – 2 × 0.0663)
= Exp(3.2389)
= $25.51

Description

  • The primary trend is decreasing.
  • The decline rate of the primary trend is 26.00% per annum.
  • LUV price at the close of May 8, 2024 was $27.18 and was higher than the top border of the primary price channel by $1.88 (7.43%). This indicates a possible reversal in the primary trend direction.

Secondary Trend

Start date: June 28, 2021
End date: May 8, 2024

a = 4.3553

b = -0.0006

s = 0.0930

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × -0.0006) – 1
= -19.72%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0930) – 1
= 45.09%

June 28, 2021 calculations

Top border of price channel:

Exp(Y538)
= Exp(a + b × X538 + 2 × s)
= Exp(a + b × 781 + 2 × s)
= Exp(4.3553 + -0.0006 × 781 + 2 × 0.0930)
= Exp(4.0714)
= $58.64

Bottom border of price channel:

Exp(Y538)
= Exp(a + b × X538 – 2 × s)
= Exp(a + b × 781 – 2 × s)
= Exp(4.3553 + -0.0006 × 781 – 2 × 0.0930)
= Exp(3.6992)
= $40.41

May 8, 2024 calculations

Top border of price channel:

Exp(Y1,258)
= Exp(a + b × X1,258 + 2 × s)
= Exp(a + b × 1,826 + 2 × s)
= Exp(4.3553 + -0.0006 × 1,826 + 2 × 0.0930)
= Exp(3.4425)
= $31.27

Bottom border of price channel:

Exp(Y1,258)
= Exp(a + b × X1,258 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(4.3553 + -0.0006 × 1,826 – 2 × 0.0930)
= Exp(3.0703)
= $21.55

Description

  • The secondary trend is decreasing.
  • The decline rate of the secondary trend is 19.72% per annum.
  • LUV price at the close of May 8, 2024 was inside the secondary price channel.