Stock Price Trends

Ingersoll Rand Inc (IR)

Ingersoll Rand Inc., founded in 1859, is an American worldwide provider of industrial equipment, technologies and related parts and services to a broad and diverse customer base through a family of brands.

Stock Price Trends

Stock price trends estimated using linear regression.

Key facts

  • The primary trend is decreasing.
  • The decline rate of the primary trend is 11.05% per annum.
  • IR price at the close of August 28, 2025 was $80.26 and was inside the primary price channel.
  • The secondary trend is decreasing.
  • The decline rate of the secondary trend is 25.15% per annum.
  • IR price at the close of August 28, 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 IR 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: February 22, 2024
End date: August 28, 2025

a = 4.9852

b = -0.0003

s = 0.0725

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × -0.0003) – 1
= -11.05%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0725) – 1
= 33.63%

February 22, 2024 calculations

Top border of price channel:

Exp(Y874)
= Exp(a + b × X874 + 2 × s)
= Exp(a + b × 1,270 + 2 × s)
= Exp(4.9852 + -0.0003 × 1,270 + 2 × 0.0725)
= Exp(4.7229)
= $112.49

Bottom border of price channel:

Exp(Y874)
= Exp(a + b × X874 – 2 × s)
= Exp(a + b × 1,270 – 2 × s)
= Exp(4.9852 + -0.0003 × 1,270 – 2 × 0.0725)
= Exp(4.4330)
= $84.18

August 28, 2025 calculations

Top border of price channel:

Exp(Y1,254)
= Exp(a + b × X1,254 + 2 × s)
= Exp(a + b × 1,823 + 2 × s)
= Exp(4.9852 + -0.0003 × 1,823 + 2 × 0.0725)
= Exp(4.5455)
= $94.21

Bottom border of price channel:

Exp(Y1,254)
= Exp(a + b × X1,254 – 2 × s)
= Exp(a + b × 1,823 – 2 × s)
= Exp(4.9852 + -0.0003 × 1,823 – 2 × 0.0725)
= Exp(4.2556)
= $70.50

Description

  • The primary trend is decreasing.
  • The decline rate of the primary trend is 11.05% per annum.
  • IR price at the close of August 28, 2025 was $80.26 and was inside the primary price channel.

Secondary Trend

Start date: September 19, 2024
End date: August 28, 2025

a = 5.7814

b = -0.0008

s = 0.0695

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × -0.0008) – 1
= -25.15%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0695) – 1
= 32.04%

September 19, 2024 calculations

Top border of price channel:

Exp(Y1,019)
= Exp(a + b × X1,019 + 2 × s)
= Exp(a + b × 1,480 + 2 × s)
= Exp(5.7814 + -0.0008 × 1,480 + 2 × 0.0695)
= Exp(4.7455)
= $115.07

Bottom border of price channel:

Exp(Y1,019)
= Exp(a + b × X1,019 – 2 × s)
= Exp(a + b × 1,480 – 2 × s)
= Exp(5.7814 + -0.0008 × 1,480 – 2 × 0.0695)
= Exp(4.4676)
= $87.15

August 28, 2025 calculations

Top border of price channel:

Exp(Y1,254)
= Exp(a + b × X1,254 + 2 × s)
= Exp(a + b × 1,823 + 2 × s)
= Exp(5.7814 + -0.0008 × 1,823 + 2 × 0.0695)
= Exp(4.4733)
= $87.64

Bottom border of price channel:

Exp(Y1,254)
= Exp(a + b × X1,254 – 2 × s)
= Exp(a + b × 1,823 – 2 × s)
= Exp(5.7814 + -0.0008 × 1,823 – 2 × 0.0695)
= Exp(4.1953)
= $66.37

Description

  • The secondary trend is decreasing.
  • The decline rate of the secondary trend is 25.15% per annum.
  • IR price at the close of August 28, 2025 was inside the secondary price channel.