Stock Price Trends

Biogen Inc (BIIB)

Biogen Inc. is an American multinational biotechnology company based in Cambridge, Massachusetts, specializing in the discovery, development, and delivery of therapies for the treatment of neurological diseases to patients worldwide.

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 30.80% per annum.
  • BIIB price at the close of May 7, 2024 was $218.92 and was inside the primary price channel.
  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 1,884.38% per annum.
  • BIIB price at the close of May 7, 2024 was inside the secondary price channel.
  • The direction of the secondary trend is opposite to the direction of the primary trend. This indicates a possible reversal in the direction of the primary trend.

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 BIIB 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: April 17, 2023
End date: May 7, 2024

a = 7.1799

b = -0.0010

s = 0.0461

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × -0.0010) – 1
= -30.80%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0461) – 1
= 20.24%

April 17, 2023 calculations

Top border of price channel:

Exp(Y992)
= Exp(a + b × X992 + 2 × s)
= Exp(a + b × 1,440 + 2 × s)
= Exp(7.1799 + -0.0010 × 1,440 + 2 × 0.0461)
= Exp(5.8196)
= $336.83

Bottom border of price channel:

Exp(Y992)
= Exp(a + b × X992 – 2 × s)
= Exp(a + b × 1,440 – 2 × s)
= Exp(7.1799 + -0.0010 × 1,440 – 2 × 0.0461)
= Exp(5.6353)
= $280.13

May 7, 2024 calculations

Top border of price channel:

Exp(Y1,258)
= Exp(a + b × X1,258 + 2 × s)
= Exp(a + b × 1,826 + 2 × s)
= Exp(7.1799 + -0.0010 × 1,826 + 2 × 0.0461)
= Exp(5.4302)
= $228.20

Bottom border of price channel:

Exp(Y1,258)
= Exp(a + b × X1,258 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(7.1799 + -0.0010 × 1,826 – 2 × 0.0461)
= Exp(5.2459)
= $189.79

Description

  • The primary trend is decreasing.
  • The decline rate of the primary trend is 30.80% per annum.
  • BIIB price at the close of May 7, 2024 was $218.92 and was inside the primary price channel.

Secondary Trend

Start date: April 17, 2024
End date: May 7, 2024

a = -9.5359

b = 0.0082

s = 0.0173

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0082) – 1
= 1,884.38%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0173) – 1
= 7.15%

April 17, 2024 calculations

Top border of price channel:

Exp(Y1,244)
= Exp(a + b × X1,244 + 2 × s)
= Exp(a + b × 1,806 + 2 × s)
= Exp(-9.5359 + 0.0082 × 1,806 + 2 × 0.0173)
= Exp(5.2826)
= $196.87

Bottom border of price channel:

Exp(Y1,244)
= Exp(a + b × X1,244 – 2 × s)
= Exp(a + b × 1,806 – 2 × s)
= Exp(-9.5359 + 0.0082 × 1,806 – 2 × 0.0173)
= Exp(5.2135)
= $183.74

May 7, 2024 calculations

Top border of price channel:

Exp(Y1,258)
= Exp(a + b × X1,258 + 2 × s)
= Exp(a + b × 1,826 + 2 × s)
= Exp(-9.5359 + 0.0082 × 1,826 + 2 × 0.0173)
= Exp(5.4463)
= $231.90

Bottom border of price channel:

Exp(Y1,258)
= Exp(a + b × X1,258 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(-9.5359 + 0.0082 × 1,826 – 2 × 0.0173)
= Exp(5.3772)
= $216.42

Description

  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 1,884.38% per annum.
  • BIIB price at the close of May 7, 2024 was inside the secondary price channel.