Stock Price Trends

Pentair PLC (PNR)

Pentair plc (PNR) is an American water treatment company with its main U.S. office in Minneapolis, Minnesota.

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 47.36% per annum.
  • PNR price at the close of November 19, 2024 was $104.75 and was inside the primary price channel.
  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 132.27% per annum.
  • PNR 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 PNR 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: August 26, 2022
End date: November 19, 2024

a = 2.6551

b = 0.0011

s = 0.0653

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0011) – 1
= 47.36%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0653) – 1
= 29.86%

August 26, 2022 calculations

Top border of price channel:

Exp(Y696)
= Exp(a + b × X696 + 2 × s)
= Exp(a + b × 1,010 + 2 × s)
= Exp(2.6551 + 0.0011 × 1,010 + 2 × 0.0653)
= Exp(3.8586)
= $47.40

Bottom border of price channel:

Exp(Y696)
= Exp(a + b × X696 – 2 × s)
= Exp(a + b × 1,010 – 2 × s)
= Exp(2.6551 + 0.0011 × 1,010 – 2 × 0.0653)
= Exp(3.5973)
= $36.50

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(2.6551 + 0.0011 × 1,826 + 2 × 0.0653)
= Exp(4.7254)
= $112.77

Bottom border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(2.6551 + 0.0011 × 1,826 – 2 × 0.0653)
= Exp(4.4641)
= $86.84

Description

  • The primary trend is increasing.
  • The growth rate of the primary trend is 47.36% per annum.
  • PNR price at the close of November 19, 2024 was $104.75 and was inside the primary price channel.

Secondary Trend

Start date: June 25, 2024
End date: November 19, 2024

a = 0.4475

b = 0.0023

s = 0.0277

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0023) – 1
= 132.27%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0277) – 1
= 11.74%

June 25, 2024 calculations

Top border of price channel:

Exp(Y1,154)
= Exp(a + b × X1,154 + 2 × s)
= Exp(a + b × 1,679 + 2 × s)
= Exp(0.4475 + 0.0023 × 1,679 + 2 × 0.0277)
= Exp(4.3795)
= $79.80

Bottom border of price channel:

Exp(Y1,154)
= Exp(a + b × X1,154 – 2 × s)
= Exp(a + b × 1,679 – 2 × s)
= Exp(0.4475 + 0.0023 × 1,679 – 2 × 0.0277)
= Exp(4.2685)
= $71.42

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(0.4475 + 0.0023 × 1,826 + 2 × 0.0277)
= Exp(4.7189)
= $112.05

Bottom border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(0.4475 + 0.0023 × 1,826 – 2 × 0.0277)
= Exp(4.6079)
= $100.28

Description

  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 132.27% per annum.
  • PNR price at the close of November 19, 2024 was inside the secondary price channel.