Stock Price Trends

Charter Communications Inc (CHTR)

Charter Communications, Inc., is an American telecommunications and mass media company with services branded as Charter Spectrum.

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 61.80% per annum.
  • CHTR price at the close of April 29, 2024 was $259.76 and was inside the primary price channel.
  • The secondary trend is decreasing.
  • The decline rate of the secondary trend is 43.98% per annum.
  • CHTR price at the close of April 29, 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 CHTR 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: September 13, 2023
End date: April 29, 2024

a = 10.3747

b = -0.0026

s = 0.0559

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × -0.0026) – 1
= -61.80%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0559) – 1
= 25.04%

September 13, 2023 calculations

Top border of price channel:

Exp(Y1,101)
= Exp(a + b × X1,101 + 2 × s)
= Exp(a + b × 1,597 + 2 × s)
= Exp(10.3747 + -0.0026 × 1,597 + 2 × 0.0559)
= Exp(6.2764)
= $531.86

Bottom border of price channel:

Exp(Y1,101)
= Exp(a + b × X1,101 – 2 × s)
= Exp(a + b × 1,597 – 2 × s)
= Exp(10.3747 + -0.0026 × 1,597 – 2 × 0.0559)
= Exp(6.0529)
= $425.35

April 29, 2024 calculations

Top border of price channel:

Exp(Y1,258)
= Exp(a + b × X1,258 + 2 × s)
= Exp(a + b × 1,826 + 2 × s)
= Exp(10.3747 + -0.0026 × 1,826 + 2 × 0.0559)
= Exp(5.6727)
= $290.82

Bottom border of price channel:

Exp(Y1,258)
= Exp(a + b × X1,258 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(10.3747 + -0.0026 × 1,826 – 2 × 0.0559)
= Exp(5.4492)
= $232.58

Description

  • The primary trend is decreasing.
  • The decline rate of the primary trend is 61.80% per annum.
  • CHTR price at the close of April 29, 2024 was $259.76 and was inside the primary price channel.

Secondary Trend

Start date: February 5, 2024
End date: April 29, 2024

a = 8.4731

b = -0.0016

s = 0.0320

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × -0.0016) – 1
= -43.98%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0320) – 1
= 13.66%

February 5, 2024 calculations

Top border of price channel:

Exp(Y1,200)
= Exp(a + b × X1,200 + 2 × s)
= Exp(a + b × 1,742 + 2 × s)
= Exp(8.4731 + -0.0016 × 1,742 + 2 × 0.0320)
= Exp(5.7713)
= $320.94

Bottom border of price channel:

Exp(Y1,200)
= Exp(a + b × X1,200 – 2 × s)
= Exp(a + b × 1,742 – 2 × s)
= Exp(8.4731 + -0.0016 × 1,742 – 2 × 0.0320)
= Exp(5.6432)
= $282.38

April 29, 2024 calculations

Top border of price channel:

Exp(Y1,258)
= Exp(a + b × X1,258 + 2 × s)
= Exp(a + b × 1,826 + 2 × s)
= Exp(8.4731 + -0.0016 × 1,826 + 2 × 0.0320)
= Exp(5.6379)
= $280.87

Bottom border of price channel:

Exp(Y1,258)
= Exp(a + b × X1,258 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(8.4731 + -0.0016 × 1,826 – 2 × 0.0320)
= Exp(5.5099)
= $247.12

Description

  • The secondary trend is decreasing.
  • The decline rate of the secondary trend is 43.98% per annum.
  • CHTR price at the close of April 29, 2024 was inside the secondary price channel.

See Also