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 increasing.
- The growth rate of the primary trend is 46.86% per annum.
- IR price at the close of July 25, 2024 was $96.94 and was inside the primary price channel.
- The secondary trend is increasing.
- The growth rate of the secondary trend is 10.82% per annum.
- IR price at the close of July 25, 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 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: June 13, 2022
End date: July 25, 2024
a = 2.6455
b = 0.0011
s = 0.0603
Annual growth rate:
Exp(365 × b) – 1
= Exp(365 × 0.0011) – 1
= 46.86%
Price channel spread:
Exp(4 × s) – 1
= Exp(4 × 0.0603) – 1
= 27.28%
June 13, 2022 calculations
Top border of price channel:
Exp(Y726)
= Exp(a + b × X726 + 2 × s)
= Exp(a + b × 1,053 + 2 × s)
= Exp(2.6455 + 0.0011 × 1,053 + 2 × 0.0603)
= Exp(3.8749)
= $48.18
Bottom border of price channel:
Exp(Y726)
= Exp(a + b × X726 – 2 × s)
= Exp(a + b × 1,053 – 2 × s)
= Exp(2.6455 + 0.0011 × 1,053 – 2 × 0.0603)
= Exp(3.6336)
= $37.85
July 25, 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(2.6455 + 0.0011 × 1,826 + 2 × 0.0603)
= Exp(4.6888)
= $108.72
Bottom border of price channel:
Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(2.6455 + 0.0011 × 1,826 – 2 × 0.0603)
= Exp(4.4475)
= $85.42
Description
- The primary trend is increasing.
- The growth rate of the primary trend is 46.86% per annum.
- IR price at the close of July 25, 2024 was $96.94 and was inside the primary price channel.
Secondary Trend
Start date: February 15, 2024
End date: July 25, 2024
a = 4.0333
b = 0.0003
s = 0.0267
Annual growth rate:
Exp(365 × b) – 1
= Exp(365 × 0.0003) – 1
= 10.82%
Price channel spread:
Exp(4 × s) – 1
= Exp(4 × 0.0267) – 1
= 11.28%
February 15, 2024 calculations
Top border of price channel:
Exp(Y1,147)
= Exp(a + b × X1,147 + 2 × s)
= Exp(a + b × 1,665 + 2 × s)
= Exp(4.0333 + 0.0003 × 1,665 + 2 × 0.0267)
= Exp(4.5555)
= $95.15
Bottom border of price channel:
Exp(Y1,147)
= Exp(a + b × X1,147 – 2 × s)
= Exp(a + b × 1,665 – 2 × s)
= Exp(4.0333 + 0.0003 × 1,665 – 2 × 0.0267)
= Exp(4.4486)
= $85.51
July 25, 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(4.0333 + 0.0003 × 1,826 + 2 × 0.0267)
= Exp(4.6008)
= $99.56
Bottom border of price channel:
Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(4.0333 + 0.0003 × 1,826 – 2 × 0.0267)
= Exp(4.4939)
= $89.47
Description
- The secondary trend is increasing.
- The growth rate of the secondary trend is 10.82% per annum.
- IR price at the close of July 25, 2024 was inside the secondary price channel.