Stock Price Trends

Group 1 Automotive Inc (GPI)

Group 1 Automotive, Inc., operates in the automotive retail industry. The company is headquartered in Houston, Texas.

Stock Price Trends

Stock price trends estimated using linear regression.

Key facts

  • The primary trend is increasing.
  • The growth rate of the primary trend is 8.03% per annum.
  • GPI price at the close of December 2, 2024 was $427.81 and was higher than the top border of the primary price channel by $178.38 (71.52%).
  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 39.62% per annum.
  • GPI price at the close of December 2, 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 GPI 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: December 30, 2020
End date: January 25, 2023

a = 4.9650

b = 0.0002

s = 0.0840

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0002) – 1
= 8.03%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0840) – 1
= 39.93%

December 30, 2020 calculations

Top border of price channel:

Exp(Y271)
= Exp(a + b × X271 + 2 × s)
= Exp(a + b × 393 + 2 × s)
= Exp(4.9650 + 0.0002 × 393 + 2 × 0.0840)
= Exp(5.2161)
= $184.21

Bottom border of price channel:

Exp(Y271)
= Exp(a + b × X271 – 2 × s)
= Exp(a + b × 393 – 2 × s)
= Exp(4.9650 + 0.0002 × 393 – 2 × 0.0840)
= Exp(4.8801)
= $131.64

January 25, 2023 calculations

Top border of price channel:

Exp(Y791)
= Exp(a + b × X791 + 2 × s)
= Exp(a + b × 1,149 + 2 × s)
= Exp(4.9650 + 0.0002 × 1,149 + 2 × 0.0840)
= Exp(5.3760)
= $216.15

Bottom border of price channel:

Exp(Y791)
= Exp(a + b × X791 – 2 × s)
= Exp(a + b × 1,149 – 2 × s)
= Exp(4.9650 + 0.0002 × 1,149 – 2 × 0.0840)
= Exp(5.0400)
= $154.47

Description

  • The primary trend is increasing.
  • The growth rate of the primary trend is 8.03% per annum.
  • GPI price at the close of December 2, 2024 was $427.81 and was higher than the top border of the primary price channel by $178.38 (71.52%).

Secondary Trend

Start date: March 31, 2022
End date: December 2, 2024

a = 4.2558

b = 0.0009

s = 0.0763

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0009) – 1
= 39.62%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0763) – 1
= 35.70%

March 31, 2022 calculations

Top border of price channel:

Exp(Y586)
= Exp(a + b × X586 + 2 × s)
= Exp(a + b × 849 + 2 × s)
= Exp(4.2558 + 0.0009 × 849 + 2 × 0.0763)
= Exp(5.1847)
= $178.52

Bottom border of price channel:

Exp(Y586)
= Exp(a + b × X586 – 2 × s)
= Exp(a + b × 849 – 2 × s)
= Exp(4.2558 + 0.0009 × 849 – 2 × 0.0763)
= Exp(4.8794)
= $131.55

December 2, 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(4.2558 + 0.0009 × 1,826 + 2 × 0.0763)
= Exp(6.0780)
= $436.16

Bottom border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(4.2558 + 0.0009 × 1,826 – 2 × 0.0763)
= Exp(5.7727)
= $321.41

Description

  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 39.62% per annum.
  • GPI price at the close of December 2, 2024 was inside the secondary price channel.