Stock Price Trends

Peabody Energy Corp (BTU)

Peabody Energy Corporation is engaged in the coal mining business in the United States, Japan, Taiwan, Australia, China, India, Vietnam, South Korea, and internationally. The company is headquartered in St. Louis, Missouri.

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 0.20% per annum.
  • BTU price at the close of December 24, 2024 was $20.05 and was inside the primary price channel.
  • The secondary trend is decreasing.
  • The decline rate of the secondary trend is 94.06% per annum.
  • BTU price at the close of December 24, 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 BTU 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 2, 2022
End date: December 24, 2024

a = 3.1694

b = 0.0000

s = 0.1023

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0000) – 1
= -0.20%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.1023) – 1
= 50.58%

March 2, 2022 calculations

Top border of price channel:

Exp(Y549)
= Exp(a + b × X549 + 2 × s)
= Exp(a + b × 797 + 2 × s)
= Exp(3.1694 + 0.0000 × 797 + 2 × 0.1023)
= Exp(3.3696)
= $29.07

Bottom border of price channel:

Exp(Y549)
= Exp(a + b × X549 – 2 × s)
= Exp(a + b × 797 – 2 × s)
= Exp(3.1694 + 0.0000 × 797 – 2 × 0.1023)
= Exp(2.9603)
= $19.30

December 24, 2024 calculations

Top border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 + 2 × s)
= Exp(a + b × 1,825 + 2 × s)
= Exp(3.1694 + 0.0000 × 1,825 + 2 × 0.1023)
= Exp(3.3639)
= $28.90

Bottom border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,825 – 2 × s)
= Exp(3.1694 + 0.0000 × 1,825 – 2 × 0.1023)
= Exp(2.9546)
= $19.19

Description

  • The primary trend is decreasing.
  • The decline rate of the primary trend is 0.20% per annum.
  • BTU price at the close of December 24, 2024 was $20.05 and was inside the primary price channel.

Secondary Trend

Start date: November 6, 2024
End date: December 24, 2024

a = 17.1229

b = -0.0077

s = 0.0246

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × -0.0077) – 1
= -94.06%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0246) – 1
= 10.35%

November 6, 2024 calculations

Top border of price channel:

Exp(Y1,224)
= Exp(a + b × X1,224 + 2 × s)
= Exp(a + b × 1,777 + 2 × s)
= Exp(17.1229 + -0.0077 × 1,777 + 2 × 0.0246)
= Exp(3.4232)
= $30.67

Bottom border of price channel:

Exp(Y1,224)
= Exp(a + b × X1,224 – 2 × s)
= Exp(a + b × 1,777 – 2 × s)
= Exp(17.1229 + -0.0077 × 1,777 – 2 × 0.0246)
= Exp(3.3247)
= $27.79

December 24, 2024 calculations

Top border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 + 2 × s)
= Exp(a + b × 1,825 + 2 × s)
= Exp(17.1229 + -0.0077 × 1,825 + 2 × 0.0246)
= Exp(3.0518)
= $21.15

Bottom border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,825 – 2 × s)
= Exp(17.1229 + -0.0077 × 1,825 – 2 × 0.0246)
= Exp(2.9534)
= $19.17

Description

  • The secondary trend is decreasing.
  • The decline rate of the secondary trend is 94.06% per annum.
  • BTU price at the close of December 24, 2024 was inside the secondary price channel.