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 7.48% per annum.
  • GPI price at the close of July 25, 2024 was $337.15 and was higher than the top border of the primary price channel by $97.63 (40.76%).
  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 36.58% per annum.
  • GPI 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 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: January 6, 2021
End date: January 25, 2023

a = 4.9542

b = 0.0002

s = 0.0819

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0002) – 1
= 7.48%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0819) – 1
= 38.76%

January 6, 2021 calculations

Top border of price channel:

Exp(Y365)
= Exp(a + b × X365 + 2 × s)
= Exp(a + b × 530 + 2 × s)
= Exp(4.9542 + 0.0002 × 530 + 2 × 0.0819)
= Exp(5.2227)
= $185.43

Bottom border of price channel:

Exp(Y365)
= Exp(a + b × X365 – 2 × s)
= Exp(a + b × 530 – 2 × s)
= Exp(4.9542 + 0.0002 × 530 – 2 × 0.0819)
= Exp(4.8951)
= $133.63

January 25, 2023 calculations

Top border of price channel:

Exp(Y881)
= Exp(a + b × X881 + 2 × s)
= Exp(a + b × 1,279 + 2 × s)
= Exp(4.9542 + 0.0002 × 1,279 + 2 × 0.0819)
= Exp(5.3706)
= $214.99

Bottom border of price channel:

Exp(Y881)
= Exp(a + b × X881 – 2 × s)
= Exp(a + b × 1,279 – 2 × s)
= Exp(4.9542 + 0.0002 × 1,279 – 2 × 0.0819)
= Exp(5.0430)
= $154.94

Description

  • The primary trend is increasing.
  • The growth rate of the primary trend is 7.48% per annum.
  • GPI price at the close of July 25, 2024 was $337.15 and was higher than the top border of the primary price channel by $97.63 (40.76%).

Secondary Trend

Start date: March 31, 2022
End date: July 25, 2024

a = 4.2165

b = 0.0009

s = 0.0759

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0009) – 1
= 36.58%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0759) – 1
= 35.45%

March 31, 2022 calculations

Top border of price channel:

Exp(Y676)
= Exp(a + b × X676 + 2 × s)
= Exp(a + b × 979 + 2 × s)
= Exp(4.2165 + 0.0009 × 979 + 2 × 0.0759)
= Exp(5.2044)
= $182.07

Bottom border of price channel:

Exp(Y676)
= Exp(a + b × X676 – 2 × s)
= Exp(a + b × 979 – 2 × s)
= Exp(4.2165 + 0.0009 × 979 – 2 × 0.0759)
= Exp(4.9010)
= $134.42

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(4.2165 + 0.0009 × 1,826 + 2 × 0.0759)
= Exp(5.9279)
= $375.35

Bottom border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(4.2165 + 0.0009 × 1,826 – 2 × 0.0759)
= Exp(5.6244)
= $277.11

Description

  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 36.58% per annum.
  • GPI price at the close of July 25, 2024 was inside the secondary price channel.