Stock Price Trends

Amgen Inc (AMGN)

Amgen Inc. (formerly Applied Molecular Genetics Inc.) is an American multinational biopharmaceutical company headquartered in Thousand Oaks, California. Focused on molecular biology and biochemistry, its goal is to provide a healthcare business based on recombinant DNA technology.

Stock Price Trends

Stock price trends estimated using linear regression.

Key facts

  • The primary trend is decreasing.
  • The decline rate of the primary trend is 40.92% per annum.
  • AMGN price at the close of April 26, 2024 was $269.98 and was inside the primary price channel.
  • The secondary trend is decreasing.
  • The decline rate of the secondary trend is 19.27% per annum.
  • AMGN price at the close of April 26, 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 AMGN 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: January 4, 2024
End date: April 26, 2024

a = 8.2039

b = -0.0014

s = 0.0274

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × -0.0014) – 1
= -40.92%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0274) – 1
= 11.60%

January 4, 2024 calculations

Top border of price channel:

Exp(Y1,180)
= Exp(a + b × X1,180 + 2 × s)
= Exp(a + b × 1,711 + 2 × s)
= Exp(8.2039 + -0.0014 × 1,711 + 2 × 0.0274)
= Exp(5.7916)
= $327.55

Bottom border of price channel:

Exp(Y1,180)
= Exp(a + b × X1,180 – 2 × s)
= Exp(a + b × 1,711 – 2 × s)
= Exp(8.2039 + -0.0014 × 1,711 – 2 × 0.0274)
= Exp(5.6819)
= $293.52

April 26, 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(8.2039 + -0.0014 × 1,824 + 2 × 0.0274)
= Exp(5.6287)
= $278.30

Bottom border of price channel:

Exp(Y1,258)
= Exp(a + b × X1,258 – 2 × s)
= Exp(a + b × 1,824 – 2 × s)
= Exp(8.2039 + -0.0014 × 1,824 – 2 × 0.0274)
= Exp(5.5190)
= $249.38

Description

  • The primary trend is decreasing.
  • The decline rate of the primary trend is 40.92% per annum.
  • AMGN price at the close of April 26, 2024 was $269.98 and was inside the primary price channel.

Secondary Trend

Start date: February 27, 2024
End date: April 26, 2024

a = 6.6634

b = -0.0006

s = 0.0172

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × -0.0006) – 1
= -19.27%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0172) – 1
= 7.13%

February 27, 2024 calculations

Top border of price channel:

Exp(Y1,216)
= Exp(a + b × X1,216 + 2 × s)
= Exp(a + b × 1,765 + 2 × s)
= Exp(6.6634 + -0.0006 × 1,765 + 2 × 0.0172)
= Exp(5.6628)
= $287.96

Bottom border of price channel:

Exp(Y1,216)
= Exp(a + b × X1,216 – 2 × s)
= Exp(a + b × 1,765 – 2 × s)
= Exp(6.6634 + -0.0006 × 1,765 – 2 × 0.0172)
= Exp(5.5940)
= $268.80

April 26, 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(6.6634 + -0.0006 × 1,824 + 2 × 0.0172)
= Exp(5.6282)
= $278.17

Bottom border of price channel:

Exp(Y1,258)
= Exp(a + b × X1,258 – 2 × s)
= Exp(a + b × 1,824 – 2 × s)
= Exp(6.6634 + -0.0006 × 1,824 – 2 × 0.0172)
= Exp(5.5594)
= $259.66

Description

  • The secondary trend is decreasing.
  • The decline rate of the secondary trend is 19.27% per annum.
  • AMGN price at the close of April 26, 2024 was inside the secondary price channel.