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 24.84% per annum.
  • GPI price at the close of March 31, 2025 was $381.95 and was inside the primary price channel.
  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 44.41% per annum.
  • GPI price at the close of March 31, 2025 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: October 6, 2020
End date: July 24, 2024

a = 4.7378

b = 0.0006

s = 0.1012

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0006) – 1
= 24.84%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.1012) – 1
= 49.91%

October 6, 2020 calculations

Top border of price channel:

Exp(Y130)
= Exp(a + b × X130 + 2 × s)
= Exp(a + b × 188 + 2 × s)
= Exp(4.7378 + 0.0006 × 188 + 2 × 0.1012)
= Exp(5.0545)
= $156.73

Bottom border of price channel:

Exp(Y130)
= Exp(a + b × X130 – 2 × s)
= Exp(a + b × 188 – 2 × s)
= Exp(4.7378 + 0.0006 × 188 – 2 × 0.1012)
= Exp(4.6497)
= $104.55

July 24, 2024 calculations

Top border of price channel:

Exp(Y1,084)
= Exp(a + b × X1,084 + 2 × s)
= Exp(a + b × 1,575 + 2 × s)
= Exp(4.7378 + 0.0006 × 1,575 + 2 × 0.1012)
= Exp(5.8977)
= $364.21

Bottom border of price channel:

Exp(Y1,084)
= Exp(a + b × X1,084 – 2 × s)
= Exp(a + b × 1,575 – 2 × s)
= Exp(4.7378 + 0.0006 × 1,575 – 2 × 0.1012)
= Exp(5.4929)
= $242.95

Description

  • The primary trend is increasing.
  • The growth rate of the primary trend is 24.84% per annum.
  • GPI price at the close of March 31, 2025 was $381.95 and was inside the primary price channel.

Secondary Trend

Start date: June 16, 2022
End date: March 26, 2025

a = 4.2484

b = 0.0010

s = 0.0762

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0010) – 1
= 44.41%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0762) – 1
= 35.63%

June 16, 2022 calculations

Top border of price channel:

Exp(Y557)
= Exp(a + b × X557 + 2 × s)
= Exp(a + b × 806 + 2 × s)
= Exp(4.2484 + 0.0010 × 806 + 2 × 0.0762)
= Exp(5.2123)
= $183.51

Bottom border of price channel:

Exp(Y557)
= Exp(a + b × X557 – 2 × s)
= Exp(a + b × 806 – 2 × s)
= Exp(4.2484 + 0.0010 × 806 – 2 × 0.0762)
= Exp(4.9075)
= $135.30

March 26, 2025 calculations

Top border of price channel:

Exp(Y1,252)
= Exp(a + b × X1,252 + 2 × s)
= Exp(a + b × 1,820 + 2 × s)
= Exp(4.2484 + 0.0010 × 1,820 + 2 × 0.0762)
= Exp(6.2332)
= $509.37

Bottom border of price channel:

Exp(Y1,252)
= Exp(a + b × X1,252 – 2 × s)
= Exp(a + b × 1,820 – 2 × s)
= Exp(4.2484 + 0.0010 × 1,820 – 2 × 0.0762)
= Exp(5.9284)
= $375.55

Description

  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 44.41% per annum.
  • GPI price at the close of March 31, 2025 was inside the secondary price channel.