Stock Price Trends

Verizon Communications Inc (VZ)

Verizon Communications Inc. is an American multinational telecommunications conglomerate and a corporate component of the Dow Jones Industrial Average. The company is headquartered at 1095 Avenue of the Americas in Midtown Manhattan, New York City, but is incorporated in Delaware.

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 22.72% per annum.
  • VZ price at the close of March 31, 2025 was $45.36 and was inside the primary price channel.
  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 11.62% per annum.
  • VZ 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 VZ 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: May 15, 2023
End date: March 31, 2025

a = 2.7740

b = 0.0006

s = 0.0560

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0006) – 1
= 22.72%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0560) – 1
= 25.11%

May 15, 2023 calculations

Top border of price channel:

Exp(Y785)
= Exp(a + b × X785 + 2 × s)
= Exp(a + b × 1,139 + 2 × s)
= Exp(2.7740 + 0.0006 × 1,139 + 2 × 0.0560)
= Exp(3.5248)
= $33.95

Bottom border of price channel:

Exp(Y785)
= Exp(a + b × X785 – 2 × s)
= Exp(a + b × 1,139 – 2 × s)
= Exp(2.7740 + 0.0006 × 1,139 – 2 × 0.0560)
= Exp(3.3008)
= $27.13

March 31, 2025 calculations

Top border of price channel:

Exp(Y1,255)
= Exp(a + b × X1,255 + 2 × s)
= Exp(a + b × 1,825 + 2 × s)
= Exp(2.7740 + 0.0006 × 1,825 + 2 × 0.0560)
= Exp(3.9096)
= $49.88

Bottom border of price channel:

Exp(Y1,255)
= Exp(a + b × X1,255 – 2 × s)
= Exp(a + b × 1,825 – 2 × s)
= Exp(2.7740 + 0.0006 × 1,825 – 2 × 0.0560)
= Exp(3.6855)
= $39.87

Description

  • The primary trend is increasing.
  • The growth rate of the primary trend is 22.72% per annum.
  • VZ price at the close of March 31, 2025 was $45.36 and was inside the primary price channel.

Secondary Trend

Start date: January 3, 2024
End date: March 31, 2025

a = 3.2032

b = 0.0003

s = 0.0367

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0003) – 1
= 11.62%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0367) – 1
= 15.82%

January 3, 2024 calculations

Top border of price channel:

Exp(Y945)
= Exp(a + b × X945 + 2 × s)
= Exp(a + b × 1,372 + 2 × s)
= Exp(3.2032 + 0.0003 × 1,372 + 2 × 0.0367)
= Exp(3.6897)
= $40.03

Bottom border of price channel:

Exp(Y945)
= Exp(a + b × X945 – 2 × s)
= Exp(a + b × 1,372 – 2 × s)
= Exp(3.2032 + 0.0003 × 1,372 – 2 × 0.0367)
= Exp(3.5428)
= $34.56

March 31, 2025 calculations

Top border of price channel:

Exp(Y1,255)
= Exp(a + b × X1,255 + 2 × s)
= Exp(a + b × 1,825 + 2 × s)
= Exp(3.2032 + 0.0003 × 1,825 + 2 × 0.0367)
= Exp(3.8261)
= $45.88

Bottom border of price channel:

Exp(Y1,255)
= Exp(a + b × X1,255 – 2 × s)
= Exp(a + b × 1,825 – 2 × s)
= Exp(3.2032 + 0.0003 × 1,825 – 2 × 0.0367)
= Exp(3.6792)
= $39.61

Description

  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 11.62% per annum.
  • VZ price at the close of March 31, 2025 was inside the secondary price channel.