Stock Price Trends

Quanta Services Inc (PWR)

Quanta Services is an American corporation that provides infrastructure services for electric power, pipeline, industrial and communications industries. Capabilities include the planning, design, installation, program management, maintenance and repair of most types of network infrastructure.

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 39.27% per annum.
  • PWR price at the close of November 19, 2024 was $330.78 and was inside the primary price channel.
  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 68.52% per annum.
  • PWR 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 PWR 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: September 20, 2024

a = 4.0001

b = 0.0009

s = 0.0765

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0009) – 1
= 39.27%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0765) – 1
= 35.82%

January 6, 2021 calculations

Top border of price channel:

Exp(Y283)
= Exp(a + b × X283 + 2 × s)
= Exp(a + b × 413 + 2 × s)
= Exp(4.0001 + 0.0009 × 413 + 2 × 0.0765)
= Exp(4.5280)
= $92.58

Bottom border of price channel:

Exp(Y283)
= Exp(a + b × X283 – 2 × s)
= Exp(a + b × 413 – 2 × s)
= Exp(4.0001 + 0.0009 × 413 – 2 × 0.0765)
= Exp(4.2218)
= $68.16

September 20, 2024 calculations

Top border of price channel:

Exp(Y1,215)
= Exp(a + b × X1,215 + 2 × s)
= Exp(a + b × 1,766 + 2 × s)
= Exp(4.0001 + 0.0009 × 1,766 + 2 × 0.0765)
= Exp(5.7558)
= $316.02

Bottom border of price channel:

Exp(Y1,215)
= Exp(a + b × X1,215 – 2 × s)
= Exp(a + b × 1,766 – 2 × s)
= Exp(4.0001 + 0.0009 × 1,766 – 2 × 0.0765)
= Exp(5.4496)
= $232.67

Description

  • The primary trend is increasing.
  • The growth rate of the primary trend is 39.27% per annum.
  • PWR price at the close of November 19, 2024 was $330.78 and was inside the primary price channel.

Secondary Trend

Start date: September 25, 2023
End date: November 19, 2024

a = 3.1648

b = 0.0014

s = 0.0681

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0014) – 1
= 68.52%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0681) – 1
= 31.28%

September 25, 2023 calculations

Top border of price channel:

Exp(Y966)
= Exp(a + b × X966 + 2 × s)
= Exp(a + b × 1,405 + 2 × s)
= Exp(3.1648 + 0.0014 × 1,405 + 2 × 0.0681)
= Exp(5.3098)
= $202.30

Bottom border of price channel:

Exp(Y966)
= Exp(a + b × X966 – 2 × s)
= Exp(a + b × 1,405 – 2 × s)
= Exp(3.1648 + 0.0014 × 1,405 – 2 × 0.0681)
= Exp(5.0376)
= $154.09

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(3.1648 + 0.0014 × 1,826 + 2 × 0.0681)
= Exp(5.9117)
= $369.33

Bottom border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(3.1648 + 0.0014 × 1,826 – 2 × 0.0681)
= Exp(5.6395)
= $281.32

Description

  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 68.52% per annum.
  • PWR price at the close of November 19, 2024 was inside the secondary price channel.