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 42.64% per annum.
- IR price at the close of November 20, 2024 was $103.11 and was inside the primary price channel.
- The secondary trend is increasing.
- The growth rate of the secondary trend is 12.36% per annum.
- IR price at the close of November 20, 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: April 26, 2022
End date: November 20, 2024
a = 2.8730
b = 0.0010
s = 0.0622
Annual growth rate:
Exp(365 × b) – 1
= Exp(365 × 0.0010) – 1
= 42.64%
Price channel spread:
Exp(4 × s) – 1
= Exp(4 × 0.0622) – 1
= 28.27%
April 26, 2022 calculations
Top border of price channel:
Exp(Y610)
= Exp(a + b × X610 + 2 × s)
= Exp(a + b × 887 + 2 × s)
= Exp(2.8730 + 0.0010 × 887 + 2 × 0.0622)
= Exp(3.8605)
= $47.49
Bottom border of price channel:
Exp(Y610)
= Exp(a + b × X610 – 2 × s)
= Exp(a + b × 887 – 2 × s)
= Exp(2.8730 + 0.0010 × 887 – 2 × 0.0622)
= Exp(3.6116)
= $37.02
November 20, 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(2.8730 + 0.0010 × 1,826 + 2 × 0.0622)
= Exp(4.7742)
= $118.42
Bottom border of price channel:
Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(2.8730 + 0.0010 × 1,826 – 2 × 0.0622)
= Exp(4.5252)
= $92.32
Description
- The primary trend is increasing.
- The growth rate of the primary trend is 42.64% per annum.
- IR price at the close of November 20, 2024 was $103.11 and was inside the primary price channel.
Secondary Trend
Start date: February 14, 2024
End date: November 20, 2024
a = 3.9995
b = 0.0003
s = 0.0379
Annual growth rate:
Exp(365 × b) – 1
= Exp(365 × 0.0003) – 1
= 12.36%
Price channel spread:
Exp(4 × s) – 1
= Exp(4 × 0.0379) – 1
= 16.36%
February 14, 2024 calculations
Top border of price channel:
Exp(Y1,063)
= Exp(a + b × X1,063 + 2 × s)
= Exp(a + b × 1,546 + 2 × s)
= Exp(3.9995 + 0.0003 × 1,546 + 2 × 0.0379)
= Exp(4.5688)
= $96.43
Bottom border of price channel:
Exp(Y1,063)
= Exp(a + b × X1,063 – 2 × s)
= Exp(a + b × 1,546 – 2 × s)
= Exp(3.9995 + 0.0003 × 1,546 – 2 × 0.0379)
= Exp(4.4173)
= $82.87
November 20, 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(3.9995 + 0.0003 × 1,826 + 2 × 0.0379)
= Exp(4.6582)
= $105.44
Bottom border of price channel:
Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(3.9995 + 0.0003 × 1,826 – 2 × 0.0379)
= Exp(4.5066)
= $90.62
Description
- The secondary trend is increasing.
- The growth rate of the secondary trend is 12.36% per annum.
- IR price at the close of November 20, 2024 was inside the secondary price channel.