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 48.30% per annum.
  • T price at the close of April 26, 2024 was $16.75 and was lower than the bottom border of the primary price channel by $0.36 (2.10%). This indicates a possible reversal in the primary trend direction.
  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 9.72% per annum.
  • T price at the close of April 26, 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: April 5, 2024

a = 0.9270

b = 0.0011

s = 0.0283

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0011) – 1
= 48.30%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0283) – 1
= 11.98%

July 14, 2023 calculations

Top border of price channel:

Exp(Y1,060)
= Exp(a + b × X1,060 + 2 × s)
= Exp(a + b × 1,537 + 2 × s)
= Exp(0.9270 + 0.0011 × 1,537 + 2 × 0.0283)
= Exp(2.6429)
= $14.05

Bottom border of price channel:

Exp(Y1,060)
= Exp(a + b × X1,060 – 2 × s)
= Exp(a + b × 1,537 – 2 × s)
= Exp(0.9270 + 0.0011 × 1,537 – 2 × 0.0283)
= Exp(2.5298)
= $12.55

April 5, 2024 calculations

Top border of price channel:

Exp(Y1,243)
= Exp(a + b × X1,243 + 2 × s)
= Exp(a + b × 1,803 + 2 × s)
= Exp(0.9270 + 0.0011 × 1,803 + 2 × 0.0283)
= Exp(2.9301)
= $18.73

Bottom border of price channel:

Exp(Y1,243)
= Exp(a + b × X1,243 – 2 × s)
= Exp(a + b × 1,803 – 2 × s)
= Exp(0.9270 + 0.0011 × 1,803 – 2 × 0.0283)
= Exp(2.8169)
= $16.73

Description

  • The primary trend is increasing.
  • The growth rate of the primary trend is 48.30% per annum.
  • T price at the close of April 26, 2024 was $16.75 and was lower than the bottom border of the primary price channel by $0.36 (2.10%). This indicates a possible reversal in the primary trend direction.

Secondary Trend

Start date: November 30, 2023
End date: April 26, 2024

a = 2.3657

b = 0.0003

s = 0.0229

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0003) – 1
= 9.72%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0229) – 1
= 9.58%

November 30, 2023 calculations

Top border of price channel:

Exp(Y1,157)
= Exp(a + b × X1,157 + 2 × s)
= Exp(a + b × 1,676 + 2 × s)
= Exp(2.3657 + 0.0003 × 1,676 + 2 × 0.0229)
= Exp(2.8373)
= $17.07

Bottom border of price channel:

Exp(Y1,157)
= Exp(a + b × X1,157 – 2 × s)
= Exp(a + b × 1,676 – 2 × s)
= Exp(2.3657 + 0.0003 × 1,676 – 2 × 0.0229)
= Exp(2.7459)
= $15.58

April 26, 2024 calculations

Top border of price channel:

Exp(Y1,258)
= Exp(a + b × X1,258 + 2 × s)
= Exp(a + b × 1,824 + 2 × s)
= Exp(2.3657 + 0.0003 × 1,824 + 2 × 0.0229)
= Exp(2.8750)
= $17.72

Bottom border of price channel:

Exp(Y1,258)
= Exp(a + b × X1,258 – 2 × s)
= Exp(a + b × 1,824 – 2 × s)
= Exp(2.3657 + 0.0003 × 1,824 – 2 × 0.0229)
= Exp(2.7835)
= $16.18

Description

  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 9.72% per annum.
  • T price at the close of April 26, 2024 was inside the secondary price channel.