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 6.98% per annum.
  • ENSG price at the close of May 17, 2024 was $119.79 and was higher than the top border of the primary price channel by $7.77 (6.94%).
  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 23.71% per annum.
  • ENSG price at the close of May 17, 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 16, 2020
End date: November 9, 2023

a = 4.2430

b = 0.0002

s = 0.0693

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0002) – 1
= 6.98%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0693) – 1
= 31.93%

November 16, 2020 calculations

Top border of price channel:

Exp(Y378)
= Exp(a + b × X378 + 2 × s)
= Exp(a + b × 546 + 2 × s)
= Exp(4.2430 + 0.0002 × 546 + 2 × 0.0693)
= Exp(4.4824)
= $88.45

Bottom border of price channel:

Exp(Y378)
= Exp(a + b × X378 – 2 × s)
= Exp(a + b × 546 – 2 × s)
= Exp(4.2430 + 0.0002 × 546 – 2 × 0.0693)
= Exp(4.2053)
= $67.04

November 9, 2023 calculations

Top border of price channel:

Exp(Y1,128)
= Exp(a + b × X1,128 + 2 × s)
= Exp(a + b × 1,634 + 2 × s)
= Exp(4.2430 + 0.0002 × 1,634 + 2 × 0.0693)
= Exp(4.6835)
= $108.15

Bottom border of price channel:

Exp(Y1,128)
= Exp(a + b × X1,128 – 2 × s)
= Exp(a + b × 1,634 – 2 × s)
= Exp(4.2430 + 0.0002 × 1,634 – 2 × 0.0693)
= Exp(4.4064)
= $81.98

Description

  • The primary trend is increasing.
  • The growth rate of the primary trend is 6.98% per annum.
  • ENSG price at the close of May 17, 2024 was $119.79 and was higher than the top border of the primary price channel by $7.77 (6.94%).

Secondary Trend

Start date: April 27, 2022
End date: May 17, 2024

a = 3.7121

b = 0.0006

s = 0.0565

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0006) – 1
= 23.71%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0565) – 1
= 25.35%

April 27, 2022 calculations

Top border of price channel:

Exp(Y741)
= Exp(a + b × X741 + 2 × s)
= Exp(a + b × 1,073 + 2 × s)
= Exp(3.7121 + 0.0006 × 1,073 + 2 × 0.0565)
= Exp(4.4506)
= $85.68

Bottom border of price channel:

Exp(Y741)
= Exp(a + b × X741 – 2 × s)
= Exp(a + b × 1,073 – 2 × s)
= Exp(3.7121 + 0.0006 × 1,073 – 2 × 0.0565)
= Exp(4.2246)
= $68.35

May 17, 2024 calculations

Top border of price channel:

Exp(Y1,258)
= Exp(a + b × X1,258 + 2 × s)
= Exp(a + b × 1,824 + 2 × s)
= Exp(3.7121 + 0.0006 × 1,824 + 2 × 0.0565)
= Exp(4.8884)
= $132.75

Bottom border of price channel:

Exp(Y1,258)
= Exp(a + b × X1,258 – 2 × s)
= Exp(a + b × 1,824 – 2 × s)
= Exp(3.7121 + 0.0006 × 1,824 – 2 × 0.0565)
= Exp(4.6625)
= $105.90

Description

  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 23.71% per annum.
  • ENSG price at the close of May 17, 2024 was inside the secondary price channel.