Stock Price Trends

Eli Lilly and Company (LLY)

Eli Lilly and Company is an American pharmaceutical company headquartered in Indianapolis, Indiana, with offices in 18 countries. Its products are sold in approximately 125 countries.

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 111.31% per annum.
  • LLY price at the close of April 26, 2024 was $733.51 and was inside the primary price channel.
  • The secondary trend is decreasing.
  • The decline rate of the secondary trend is 15.21% per annum.
  • LLY price at the close of April 26, 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 LLY 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 19, 2023
End date: April 17, 2024

a = 2.9758

b = 0.0020

s = 0.0621

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0020) – 1
= 111.31%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0621) – 1
= 28.18%

January 19, 2023 calculations

Top border of price channel:

Exp(Y939)
= Exp(a + b × X939 + 2 × s)
= Exp(a + b × 1,361 + 2 × s)
= Exp(2.9758 + 0.0020 × 1,361 + 2 × 0.0621)
= Exp(5.8897)
= $361.30

Bottom border of price channel:

Exp(Y939)
= Exp(a + b × X939 – 2 × s)
= Exp(a + b × 1,361 – 2 × s)
= Exp(2.9758 + 0.0020 × 1,361 – 2 × 0.0621)
= Exp(5.6414)
= $281.86

April 17, 2024 calculations

Top border of price channel:

Exp(Y1,251)
= Exp(a + b × X1,251 + 2 × s)
= Exp(a + b × 1,815 + 2 × s)
= Exp(2.9758 + 0.0020 × 1,815 + 2 × 0.0621)
= Exp(6.8203)
= $916.28

Bottom border of price channel:

Exp(Y1,251)
= Exp(a + b × X1,251 – 2 × s)
= Exp(a + b × 1,815 – 2 × s)
= Exp(2.9758 + 0.0020 × 1,815 – 2 × 0.0621)
= Exp(6.5720)
= $714.81

Description

  • The primary trend is increasing.
  • The growth rate of the primary trend is 111.31% per annum.
  • LLY price at the close of April 26, 2024 was $733.51 and was inside the primary price channel.

Secondary Trend

Start date: February 14, 2024
End date: April 26, 2024

a = 7.4431

b = -0.0005

s = 0.0189

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × -0.0005) – 1
= -15.21%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0189) – 1
= 7.84%

February 14, 2024 calculations

Top border of price channel:

Exp(Y1,208)
= Exp(a + b × X1,208 + 2 × s)
= Exp(a + b × 1,752 + 2 × s)
= Exp(7.4431 + -0.0005 × 1,752 + 2 × 0.0189)
= Exp(6.6891)
= $803.62

Bottom border of price channel:

Exp(Y1,208)
= Exp(a + b × X1,208 – 2 × s)
= Exp(a + b × 1,752 – 2 × s)
= Exp(7.4431 + -0.0005 × 1,752 – 2 × 0.0189)
= Exp(6.6137)
= $745.22

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(7.4431 + -0.0005 × 1,824 + 2 × 0.0189)
= Exp(6.6566)
= $777.90

Bottom border of price channel:

Exp(Y1,258)
= Exp(a + b × X1,258 – 2 × s)
= Exp(a + b × 1,824 – 2 × s)
= Exp(7.4431 + -0.0005 × 1,824 – 2 × 0.0189)
= Exp(6.5811)
= $721.37

Description

  • The secondary trend is decreasing.
  • The decline rate of the secondary trend is 15.21% per annum.
  • LLY price at the close of April 26, 2024 was inside the secondary price channel.