Stock Price Trends

AutoZone Inc (AZO)

AutoZone, Inc. is an American retailer of aftermarket automotive parts and accessories, the largest in the United States.

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 18.60% per annum.
  • AZO price at the close of April 28, 2025 was $3,617.91 and was inside the primary price channel.
  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 53.05% per annum.
  • AZO price at the close of April 28, 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 AZO 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 21, 2021
End date: March 4, 2025

a = 7.2947

b = 0.0005

s = 0.0477

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0005) – 1
= 18.60%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0477) – 1
= 21.03%

October 21, 2021 calculations

Top border of price channel:

Exp(Y374)
= Exp(a + b × X374 + 2 × s)
= Exp(a + b × 540 + 2 × s)
= Exp(7.2947 + 0.0005 × 540 + 2 × 0.0477)
= Exp(7.6425)
= $2,084.96

Bottom border of price channel:

Exp(Y374)
= Exp(a + b × X374 – 2 × s)
= Exp(a + b × 540 – 2 × s)
= Exp(7.2947 + 0.0005 × 540 – 2 × 0.0477)
= Exp(7.4516)
= $1,722.70

March 4, 2025 calculations

Top border of price channel:

Exp(Y1,217)
= Exp(a + b × X1,217 + 2 × s)
= Exp(a + b × 1,770 + 2 × s)
= Exp(7.2947 + 0.0005 × 1,770 + 2 × 0.0477)
= Exp(8.2173)
= $3,704.42

Bottom border of price channel:

Exp(Y1,217)
= Exp(a + b × X1,217 – 2 × s)
= Exp(a + b × 1,770 – 2 × s)
= Exp(7.2947 + 0.0005 × 1,770 – 2 × 0.0477)
= Exp(8.0264)
= $3,060.78

Description

  • The primary trend is increasing.
  • The growth rate of the primary trend is 18.60% per annum.
  • AZO price at the close of April 28, 2025 was $3,617.91 and was inside the primary price channel.

Secondary Trend

Start date: October 25, 2024
End date: April 4, 2025

a = 6.1073

b = 0.0012

s = 0.0224

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0012) – 1
= 53.05%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0224) – 1
= 9.36%

October 25, 2024 calculations

Top border of price channel:

Exp(Y1,131)
= Exp(a + b × X1,131 + 2 × s)
= Exp(a + b × 1,640 + 2 × s)
= Exp(6.1073 + 0.0012 × 1,640 + 2 × 0.0224)
= Exp(8.0641)
= $3,178.37

Bottom border of price channel:

Exp(Y1,131)
= Exp(a + b × X1,131 – 2 × s)
= Exp(a + b × 1,640 – 2 × s)
= Exp(6.1073 + 0.0012 × 1,640 – 2 × 0.0224)
= Exp(7.9747)
= $2,906.40

April 4, 2025 calculations

Top border of price channel:

Exp(Y1,240)
= Exp(a + b × X1,240 + 2 × s)
= Exp(a + b × 1,801 + 2 × s)
= Exp(6.1073 + 0.0012 × 1,801 + 2 × 0.0224)
= Exp(8.2518)
= $3,834.67

Bottom border of price channel:

Exp(Y1,240)
= Exp(a + b × X1,240 – 2 × s)
= Exp(a + b × 1,801 – 2 × s)
= Exp(6.1073 + 0.0012 × 1,801 – 2 × 0.0224)
= Exp(8.1624)
= $3,506.54

Description

  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 53.05% per annum.
  • AZO price at the close of April 28, 2025 was inside the secondary price channel.