Stock Price Trends

AT&T Inc (T)

AT&T Inc. is an American multinational conglomerate holding company, Delaware-registered but headquartered at Whitacre Tower in Downtown Dallas, Texas. It is the world largest telecommunications company, and the second largest provider of mobile telephone services.

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 47.46% per annum.
  • T price at the close of November 19, 2024 was $22.73 and was inside the primary price channel.
  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 84.81% per annum.
  • T price at the close of November 19, 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 T 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: July 14, 2023
End date: November 19, 2024

a = 1.1339

b = 0.0011

s = 0.0378

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0011) – 1
= 47.46%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0378) – 1
= 16.30%

July 14, 2023 calculations

Top border of price channel:

Exp(Y916)
= Exp(a + b × X916 + 2 × s)
= Exp(a + b × 1,332 + 2 × s)
= Exp(1.1339 + 0.0011 × 1,332 + 2 × 0.0378)
= Exp(2.6269)
= $13.83

Bottom border of price channel:

Exp(Y916)
= Exp(a + b × X916 – 2 × s)
= Exp(a + b × 1,332 – 2 × s)
= Exp(1.1339 + 0.0011 × 1,332 – 2 × 0.0378)
= Exp(2.4758)
= $11.89

November 19, 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(1.1339 + 0.0011 × 1,826 + 2 × 0.0378)
= Exp(3.1526)
= $23.40

Bottom border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(1.1339 + 0.0011 × 1,826 – 2 × 0.0378)
= Exp(3.0015)
= $20.12

Description

  • The primary trend is increasing.
  • The growth rate of the primary trend is 47.46% per annum.
  • T price at the close of November 19, 2024 was $22.73 and was inside the primary price channel.

Secondary Trend

Start date: April 11, 2024
End date: November 19, 2024

a = 0.0626

b = 0.0017

s = 0.0186

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0017) – 1
= 84.81%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0186) – 1
= 7.73%

April 11, 2024 calculations

Top border of price channel:

Exp(Y1,103)
= Exp(a + b × X1,103 + 2 × s)
= Exp(a + b × 1,604 + 2 × s)
= Exp(0.0626 + 0.0017 × 1,604 + 2 × 0.0186)
= Exp(2.7987)
= $16.42

Bottom border of price channel:

Exp(Y1,103)
= Exp(a + b × X1,103 – 2 × s)
= Exp(a + b × 1,604 – 2 × s)
= Exp(0.0626 + 0.0017 × 1,604 – 2 × 0.0186)
= Exp(2.7242)
= $15.24

November 19, 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(0.0626 + 0.0017 × 1,826 + 2 × 0.0186)
= Exp(3.1722)
= $23.86

Bottom border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(0.0626 + 0.0017 × 1,826 – 2 × 0.0186)
= Exp(3.0978)
= $22.15

Description

  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 84.81% per annum.
  • T price at the close of November 19, 2024 was inside the secondary price channel.