Stock Price Trends

Cardinal Health Inc (CAH)

Cardinal Health, Inc. is an American multinational health care services company.

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 43.89% per annum.
  • CAH price at the close of December 11, 2024 was $117.42 and was lower than the bottom border of the primary price channel by $8.42 (6.69%). This indicates a possible reversal in the primary trend direction.
  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 28.15% per annum.
  • CAH price at the close of December 11, 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 CAH 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: August 5, 2021
End date: April 19, 2024

a = 3.1426

b = 0.0010

s = 0.0640

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0010) – 1
= 43.89%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0640) – 1
= 29.18%

August 5, 2021 calculations

Top border of price channel:

Exp(Y414)
= Exp(a + b × X414 + 2 × s)
= Exp(a + b × 602 + 2 × s)
= Exp(3.1426 + 0.0010 × 602 + 2 × 0.0640)
= Exp(3.8708)
= $47.98

Bottom border of price channel:

Exp(Y414)
= Exp(a + b × X414 – 2 × s)
= Exp(a + b × 602 – 2 × s)
= Exp(3.1426 + 0.0010 × 602 – 2 × 0.0640)
= Exp(3.6148)
= $37.14

April 19, 2024 calculations

Top border of price channel:

Exp(Y1,094)
= Exp(a + b × X1,094 + 2 × s)
= Exp(a + b × 1,590 + 2 × s)
= Exp(3.1426 + 0.0010 × 1,590 + 2 × 0.0640)
= Exp(4.8558)
= $128.48

Bottom border of price channel:

Exp(Y1,094)
= Exp(a + b × X1,094 – 2 × s)
= Exp(a + b × 1,590 – 2 × s)
= Exp(3.1426 + 0.0010 × 1,590 – 2 × 0.0640)
= Exp(4.5997)
= $99.46

Description

  • The primary trend is increasing.
  • The growth rate of the primary trend is 43.89% per annum.
  • CAH price at the close of December 11, 2024 was $117.42 and was lower than the bottom border of the primary price channel by $8.42 (6.69%). This indicates a possible reversal in the primary trend direction.

Secondary Trend

Start date: August 12, 2022
End date: December 11, 2024

a = 3.5464

b = 0.0007

s = 0.0640

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0007) – 1
= 28.15%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0640) – 1
= 29.16%

August 12, 2022 calculations

Top border of price channel:

Exp(Y671)
= Exp(a + b × X671 + 2 × s)
= Exp(a + b × 974 + 2 × s)
= Exp(3.5464 + 0.0007 × 974 + 2 × 0.0640)
= Exp(4.3362)
= $76.42

Bottom border of price channel:

Exp(Y671)
= Exp(a + b × X671 – 2 × s)
= Exp(a + b × 974 – 2 × s)
= Exp(3.5464 + 0.0007 × 974 – 2 × 0.0640)
= Exp(4.0803)
= $59.17

December 11, 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(3.5464 + 0.0007 × 1,826 + 2 × 0.0640)
= Exp(4.9151)
= $136.34

Bottom border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(3.5464 + 0.0007 × 1,826 – 2 × 0.0640)
= Exp(4.6593)
= $105.56

Description

  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 28.15% per annum.
  • CAH price at the close of December 11, 2024 was inside the secondary price channel.