Stock Price Trends

Alpha Metallurgical Resources Inc (AMR)

Alpha Metallurgical Resources, Inc. is a mining company. The company is headquartered in Bristol, Tennessee.

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 24.58% per annum.
  • AMR price at the close of July 25, 2024 was $296.07 and was higher than the top border of the primary price channel by $34.14 (13.03%).
  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 78.54% per annum.
  • AMR price at the close of July 25, 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 AMR 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: February 18, 2022
End date: August 31, 2023

a = 4.2528

b = 0.0006

s = 0.1078

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0006) – 1
= 24.58%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.1078) – 1
= 53.91%

February 18, 2022 calculations

Top border of price channel:

Exp(Y648)
= Exp(a + b × X648 + 2 × s)
= Exp(a + b × 938 + 2 × s)
= Exp(4.2528 + 0.0006 × 938 + 2 × 0.1078)
= Exp(5.0333)
= $153.44

Bottom border of price channel:

Exp(Y648)
= Exp(a + b × X648 – 2 × s)
= Exp(a + b × 938 – 2 × s)
= Exp(4.2528 + 0.0006 × 938 – 2 × 0.1078)
= Exp(4.6021)
= $99.70

August 31, 2023 calculations

Top border of price channel:

Exp(Y1,032)
= Exp(a + b × X1,032 + 2 × s)
= Exp(a + b × 1,497 + 2 × s)
= Exp(4.2528 + 0.0006 × 1,497 + 2 × 0.1078)
= Exp(5.3700)
= $214.85

Bottom border of price channel:

Exp(Y1,032)
= Exp(a + b × X1,032 – 2 × s)
= Exp(a + b × 1,497 – 2 × s)
= Exp(4.2528 + 0.0006 × 1,497 – 2 × 0.1078)
= Exp(4.9388)
= $139.60

Description

  • The primary trend is increasing.
  • The growth rate of the primary trend is 24.58% per annum.
  • AMR price at the close of July 25, 2024 was $296.07 and was higher than the top border of the primary price channel by $34.14 (13.03%).

Secondary Trend

Start date: June 22, 2022
End date: June 13, 2024

a = 3.0300

b = 0.0016

s = 0.1606

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0016) – 1
= 78.54%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.1606) – 1
= 90.07%

June 22, 2022 calculations

Top border of price channel:

Exp(Y732)
= Exp(a + b × X732 + 2 × s)
= Exp(a + b × 1,062 + 2 × s)
= Exp(3.0300 + 0.0016 × 1,062 + 2 × 0.1606)
= Exp(5.0376)
= $154.10

Bottom border of price channel:

Exp(Y732)
= Exp(a + b × X732 – 2 × s)
= Exp(a + b × 1,062 – 2 × s)
= Exp(3.0300 + 0.0016 × 1,062 – 2 × 0.1606)
= Exp(4.3954)
= $81.08

June 13, 2024 calculations

Top border of price channel:

Exp(Y1,229)
= Exp(a + b × X1,229 + 2 × s)
= Exp(a + b × 1,784 + 2 × s)
= Exp(3.0300 + 0.0016 × 1,784 + 2 × 0.1606)
= Exp(6.1842)
= $485.02

Bottom border of price channel:

Exp(Y1,229)
= Exp(a + b × X1,229 – 2 × s)
= Exp(a + b × 1,784 – 2 × s)
= Exp(3.0300 + 0.0016 × 1,784 – 2 × 0.1606)
= Exp(5.5420)
= $255.18

Description

  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 78.54% per annum.
  • AMR price at the close of July 25, 2024 was inside the secondary price channel.