Stock Price Trends

Warner Music Group (WMG)

Warner Music Group Corp.

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 93.51% per annum.
  • WMG price at the close of November 19, 2024 was $32.93 and was inside the primary price channel.
  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 60.39% per annum.
  • WMG price at the close of November 19, 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 WMG 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 2, 2024
End date: November 19, 2024

a = 0.5573

b = 0.0018

s = 0.0206

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0018) – 1
= 93.51%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0206) – 1
= 8.57%

August 2, 2024 calculations

Top border of price channel:

Exp(Y1,048)
= Exp(a + b × X1,048 + 2 × s)
= Exp(a + b × 1,521 + 2 × s)
= Exp(0.5573 + 0.0018 × 1,521 + 2 × 0.0206)
= Exp(3.3494)
= $28.49

Bottom border of price channel:

Exp(Y1,048)
= Exp(a + b × X1,048 – 2 × s)
= Exp(a + b × 1,521 – 2 × s)
= Exp(0.5573 + 0.0018 × 1,521 – 2 × 0.0206)
= Exp(3.2672)
= $26.24

November 19, 2024 calculations

Top border of price channel:

Exp(Y1,124)
= Exp(a + b × X1,124 + 2 × s)
= Exp(a + b × 1,630 + 2 × s)
= Exp(0.5573 + 0.0018 × 1,630 + 2 × 0.0206)
= Exp(3.5466)
= $34.69

Bottom border of price channel:

Exp(Y1,124)
= Exp(a + b × X1,124 – 2 × s)
= Exp(a + b × 1,630 – 2 × s)
= Exp(0.5573 + 0.0018 × 1,630 – 2 × 0.0206)
= Exp(3.4643)
= $31.95

Description

  • The primary trend is increasing.
  • The growth rate of the primary trend is 93.51% per annum.
  • WMG price at the close of November 19, 2024 was $32.93 and was inside the primary price channel.

Secondary Trend

Start date: September 18, 2024
End date: November 19, 2024

a = 1.3851

b = 0.0013

s = 0.0103

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0013) – 1
= 60.39%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0103) – 1
= 4.22%

September 18, 2024 calculations

Top border of price channel:

Exp(Y1,080)
= Exp(a + b × X1,080 + 2 × s)
= Exp(a + b × 1,568 + 2 × s)
= Exp(1.3851 + 0.0013 × 1,568 + 2 × 0.0103)
= Exp(3.4353)
= $31.04

Bottom border of price channel:

Exp(Y1,080)
= Exp(a + b × X1,080 – 2 × s)
= Exp(a + b × 1,568 – 2 × s)
= Exp(1.3851 + 0.0013 × 1,568 – 2 × 0.0103)
= Exp(3.3940)
= $29.79

November 19, 2024 calculations

Top border of price channel:

Exp(Y1,124)
= Exp(a + b × X1,124 + 2 × s)
= Exp(a + b × 1,630 + 2 × s)
= Exp(1.3851 + 0.0013 × 1,630 + 2 × 0.0103)
= Exp(3.5156)
= $33.64

Bottom border of price channel:

Exp(Y1,124)
= Exp(a + b × X1,124 – 2 × s)
= Exp(a + b × 1,630 – 2 × s)
= Exp(1.3851 + 0.0013 × 1,630 – 2 × 0.0103)
= Exp(3.4743)
= $32.27

Description

  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 60.39% per annum.
  • WMG price at the close of November 19, 2024 was inside the secondary price channel.