Stock Price Trends

Lennox International Inc (LII)

Lennox International Inc. designs, manufactures and markets a range of products for the heating, ventilation, air conditioning and refrigeration markets in the United States, Canada and internationally. The company is headquartered in Richardson, Texas.

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 70.05% per annum.
  • LII price at the close of July 25, 2024 was $545.73 and was inside the primary price channel.
  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 56.45% per annum.
  • LII 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 LII 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: September 20, 2022
End date: July 25, 2024

a = 3.6716

b = 0.0015

s = 0.0609

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0015) – 1
= 70.05%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0609) – 1
= 27.57%

September 20, 2022 calculations

Top border of price channel:

Exp(Y794)
= Exp(a + b × X794 + 2 × s)
= Exp(a + b × 1,152 + 2 × s)
= Exp(3.6716 + 0.0015 × 1,152 + 2 × 0.0609)
= Exp(5.4690)
= $237.22

Bottom border of price channel:

Exp(Y794)
= Exp(a + b × X794 – 2 × s)
= Exp(a + b × 1,152 – 2 × s)
= Exp(3.6716 + 0.0015 × 1,152 – 2 × 0.0609)
= Exp(5.2255)
= $185.96

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(3.6716 + 0.0015 × 1,826 + 2 × 0.0609)
= Exp(6.4494)
= $632.30

Bottom border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(3.6716 + 0.0015 × 1,826 – 2 × 0.0609)
= Exp(6.2059)
= $495.66

Description

  • The primary trend is increasing.
  • The growth rate of the primary trend is 70.05% per annum.
  • LII price at the close of July 25, 2024 was $545.73 and was inside the primary price channel.

Secondary Trend

Start date: July 27, 2023
End date: July 25, 2024

a = 4.0620

b = 0.0012

s = 0.0370

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0012) – 1
= 56.45%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0370) – 1
= 15.95%

July 27, 2023 calculations

Top border of price channel:

Exp(Y1,007)
= Exp(a + b × X1,007 + 2 × s)
= Exp(a + b × 1,462 + 2 × s)
= Exp(4.0620 + 0.0012 × 1,462 + 2 × 0.0370)
= Exp(5.9288)
= $375.70

Bottom border of price channel:

Exp(Y1,007)
= Exp(a + b × X1,007 – 2 × s)
= Exp(a + b × 1,462 – 2 × s)
= Exp(4.0620 + 0.0012 × 1,462 – 2 × 0.0370)
= Exp(5.7808)
= $324.01

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(4.0620 + 0.0012 × 1,826 + 2 × 0.0370)
= Exp(6.3751)
= $587.06

Bottom border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(4.0620 + 0.0012 × 1,826 – 2 × 0.0370)
= Exp(6.2271)
= $506.31

Description

  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 56.45% per annum.
  • LII price at the close of July 25, 2024 was inside the secondary price channel.