Stock Price Trends

The Ensign Group Inc (ENSG)

The Ensign Group, Inc. provides health care services in the post-acute care continuum and other ancillary businesses. The company is headquartered in San Juan Capistrano, California.

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 7.07% per annum.
  • ENSG price at the close of July 25, 2024 was $136.17 and was higher than the top border of the primary price channel by $22.52 (19.81%).
  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 24.49% per annum.
  • ENSG 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 ENSG 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: November 13, 2020
End date: November 13, 2023

a = 4.2526

b = 0.0002

s = 0.0695

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0002) – 1
= 7.07%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0695) – 1
= 32.03%

November 13, 2020 calculations

Top border of price channel:

Exp(Y330)
= Exp(a + b × X330 + 2 × s)
= Exp(a + b × 476 + 2 × s)
= Exp(4.2526 + 0.0002 × 476 + 2 × 0.0695)
= Exp(4.4806)
= $88.29

Bottom border of price channel:

Exp(Y330)
= Exp(a + b × X330 – 2 × s)
= Exp(a + b × 476 – 2 × s)
= Exp(4.2526 + 0.0002 × 476 – 2 × 0.0695)
= Exp(4.2027)
= $66.87

November 13, 2023 calculations

Top border of price channel:

Exp(Y1,083)
= Exp(a + b × X1,083 + 2 × s)
= Exp(a + b × 1,571 + 2 × s)
= Exp(4.2526 + 0.0002 × 1,571 + 2 × 0.0695)
= Exp(4.6854)
= $108.36

Bottom border of price channel:

Exp(Y1,083)
= Exp(a + b × X1,083 – 2 × s)
= Exp(a + b × 1,571 – 2 × s)
= Exp(4.2526 + 0.0002 × 1,571 – 2 × 0.0695)
= Exp(4.4076)
= $82.07

Description

  • The primary trend is increasing.
  • The growth rate of the primary trend is 7.07% per annum.
  • ENSG price at the close of July 25, 2024 was $136.17 and was higher than the top border of the primary price channel by $22.52 (19.81%).

Secondary Trend

Start date: April 27, 2022
End date: July 25, 2024

a = 3.7288

b = 0.0006

s = 0.0560

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0006) – 1
= 24.49%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0560) – 1
= 25.11%

April 27, 2022 calculations

Top border of price channel:

Exp(Y694)
= Exp(a + b × X694 + 2 × s)
= Exp(a + b × 1,006 + 2 × s)
= Exp(3.7288 + 0.0006 × 1,006 + 2 × 0.0560)
= Exp(4.4445)
= $85.16

Bottom border of price channel:

Exp(Y694)
= Exp(a + b × X694 – 2 × s)
= Exp(a + b × 1,006 – 2 × s)
= Exp(3.7288 + 0.0006 × 1,006 – 2 × 0.0560)
= Exp(4.2205)
= $68.07

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(3.7288 + 0.0006 × 1,826 + 2 × 0.0560)
= Exp(4.9367)
= $139.31

Bottom border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(3.7288 + 0.0006 × 1,826 – 2 × 0.0560)
= Exp(4.7126)
= $111.34

Description

  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 24.49% per annum.
  • ENSG price at the close of July 25, 2024 was inside the secondary price channel.