Stock Price Trends

Johnson Controls International PLC (JCI)

Johnson Controls International plc is an Irish-domiciled multinational conglomerate headquartered in Cork, Ireland, that produces fire, HVAC, and security equipment for buildings.

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 55.07% per annum.
  • JCI price at the close of November 19, 2024 was $83.53 and was inside the primary price channel.
  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 109.17% per annum.
  • JCI 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 JCI 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: October 2, 2023
End date: November 19, 2024

a = 2.1938

b = 0.0012

s = 0.0415

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0012) – 1
= 55.07%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0415) – 1
= 18.05%

October 2, 2023 calculations

Top border of price channel:

Exp(Y971)
= Exp(a + b × X971 + 2 × s)
= Exp(a + b × 1,412 + 2 × s)
= Exp(2.1938 + 0.0012 × 1,412 + 2 × 0.0415)
= Exp(3.9739)
= $53.19

Bottom border of price channel:

Exp(Y971)
= Exp(a + b × X971 – 2 × s)
= Exp(a + b × 1,412 – 2 × s)
= Exp(2.1938 + 0.0012 × 1,412 – 2 × 0.0415)
= Exp(3.8080)
= $45.06

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(2.1938 + 0.0012 × 1,826 + 2 × 0.0415)
= Exp(4.4715)
= $87.49

Bottom border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(2.1938 + 0.0012 × 1,826 – 2 × 0.0415)
= Exp(4.3056)
= $74.11

Description

  • The primary trend is increasing.
  • The growth rate of the primary trend is 55.07% per annum.
  • JCI price at the close of November 19, 2024 was $83.53 and was inside the primary price channel.

Secondary Trend

Start date: August 2, 2024
End date: November 19, 2024

a = 0.7242

b = 0.0020

s = 0.0273

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0020) – 1
= 109.17%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0273) – 1
= 11.53%

August 2, 2024 calculations

Top border of price channel:

Exp(Y1,181)
= Exp(a + b × X1,181 + 2 × s)
= Exp(a + b × 1,717 + 2 × s)
= Exp(0.7242 + 0.0020 × 1,717 + 2 × 0.0273)
= Exp(4.2503)
= $70.13

Bottom border of price channel:

Exp(Y1,181)
= Exp(a + b × X1,181 – 2 × s)
= Exp(a + b × 1,717 – 2 × s)
= Exp(0.7242 + 0.0020 × 1,717 – 2 × 0.0273)
= Exp(4.1412)
= $62.88

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(0.7242 + 0.0020 × 1,826 + 2 × 0.0273)
= Exp(4.4707)
= $87.42

Bottom border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(0.7242 + 0.0020 × 1,826 – 2 × 0.0273)
= Exp(4.3616)
= $78.38

Description

  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 109.17% per annum.
  • JCI price at the close of November 19, 2024 was inside the secondary price channel.