Stock Price Trends

Lincoln National Corporation (LNC)

Lincoln National Corporation is an American holding company, which operates multiple insurance and investment management businesses through subsidiary companies. Lincoln Financial Group is the marketing name for LNC and its subsidiary companies.

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 42.78% per annum.
  • LNC price at the close of July 26, 2024 was $32.95 and was inside the primary price channel.
  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 66.24% per annum.
  • LNC price at the close of July 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 LNC 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: March 13, 2023
End date: July 26, 2024

a = 1.6717

b = 0.0010

s = 0.0713

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0010) – 1
= 42.78%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0713) – 1
= 32.99%

March 13, 2023 calculations

Top border of price channel:

Exp(Y912)
= Exp(a + b × X912 + 2 × s)
= Exp(a + b × 1,323 + 2 × s)
= Exp(1.6717 + 0.0010 × 1,323 + 2 × 0.0713)
= Exp(3.1051)
= $22.31

Bottom border of price channel:

Exp(Y912)
= Exp(a + b × X912 – 2 × s)
= Exp(a + b × 1,323 – 2 × s)
= Exp(1.6717 + 0.0010 × 1,323 – 2 × 0.0713)
= Exp(2.8200)
= $16.78

July 26, 2024 calculations

Top border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 + 2 × s)
= Exp(a + b × 1,824 + 2 × s)
= Exp(1.6717 + 0.0010 × 1,824 + 2 × 0.0713)
= Exp(3.5939)
= $36.38

Bottom border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,824 – 2 × s)
= Exp(1.6717 + 0.0010 × 1,824 – 2 × 0.0713)
= Exp(3.3088)
= $27.35

Description

  • The primary trend is increasing.
  • The growth rate of the primary trend is 42.78% per annum.
  • LNC price at the close of July 26, 2024 was $32.95 and was inside the primary price channel.

Secondary Trend

Start date: October 3, 2023
End date: July 26, 2024

a = 0.9553

b = 0.0014

s = 0.0484

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0014) – 1
= 66.24%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0484) – 1
= 21.36%

October 3, 2023 calculations

Top border of price channel:

Exp(Y1,053)
= Exp(a + b × X1,053 + 2 × s)
= Exp(a + b × 1,527 + 2 × s)
= Exp(0.9553 + 0.0014 × 1,527 + 2 × 0.0484)
= Exp(3.1783)
= $24.01

Bottom border of price channel:

Exp(Y1,053)
= Exp(a + b × X1,053 – 2 × s)
= Exp(a + b × 1,527 – 2 × s)
= Exp(0.9553 + 0.0014 × 1,527 – 2 × 0.0484)
= Exp(2.9847)
= $19.78

July 26, 2024 calculations

Top border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 + 2 × s)
= Exp(a + b × 1,824 + 2 × s)
= Exp(0.9553 + 0.0014 × 1,824 + 2 × 0.0484)
= Exp(3.5919)
= $36.30

Bottom border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,824 – 2 × s)
= Exp(0.9553 + 0.0014 × 1,824 – 2 × 0.0484)
= Exp(3.3983)
= $29.91

Description

  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 66.24% per annum.
  • LNC price at the close of July 26, 2024 was inside the secondary price channel.