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 0.92% per annum.
  • CHTR price at the close of September 16, 2025 was $261.08 and was lower than the bottom border of the primary price channel by $8.18 (3.04%).
  • The secondary trend is decreasing.
  • The decline rate of the secondary trend is 82.74% per annum.
  • CHTR price at the close of September 16, 2025 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: August 30, 2022
End date: July 25, 2025

a = 5.9035

b = 0.0000

s = 0.1307

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0000) – 1
= -0.92%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.1307) – 1
= 68.65%

August 30, 2022 calculations

Top border of price channel:

Exp(Y491)
= Exp(a + b × X491 + 2 × s)
= Exp(a + b × 712 + 2 × s)
= Exp(5.9035 + 0.0000 × 712 + 2 × 0.1307)
= Exp(6.1467)
= $467.15

Bottom border of price channel:

Exp(Y491)
= Exp(a + b × X491 – 2 × s)
= Exp(a + b × 712 – 2 × s)
= Exp(5.9035 + 0.0000 × 712 – 2 × 0.1307)
= Exp(5.6240)
= $277.00

July 25, 2025 calculations

Top border of price channel:

Exp(Y1,218)
= Exp(a + b × X1,218 + 2 × s)
= Exp(a + b × 1,772 + 2 × s)
= Exp(5.9035 + 0.0000 × 1,772 + 2 × 0.1307)
= Exp(6.1197)
= $454.72

Bottom border of price channel:

Exp(Y1,218)
= Exp(a + b × X1,218 – 2 × s)
= Exp(a + b × 1,772 – 2 × s)
= Exp(5.9035 + 0.0000 × 1,772 – 2 × 0.1307)
= Exp(5.5970)
= $269.63

Description

  • The primary trend is decreasing.
  • The decline rate of the primary trend is 0.92% per annum.
  • CHTR price at the close of September 16, 2025 was $261.08 and was lower than the bottom border of the primary price channel by $8.18 (3.04%).

Secondary Trend

Start date: May 13, 2025
End date: September 16, 2025

a = 14.2995

b = -0.0048

s = 0.0968

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × -0.0048) – 1
= -82.74%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0968) – 1
= 47.31%

May 13, 2025 calculations

Top border of price channel:

Exp(Y1,168)
= Exp(a + b × X1,168 + 2 × s)
= Exp(a + b × 1,699 + 2 × s)
= Exp(14.2995 + -0.0048 × 1,699 + 2 × 0.0968)
= Exp(6.3161)
= $553.43

Bottom border of price channel:

Exp(Y1,168)
= Exp(a + b × X1,168 – 2 × s)
= Exp(a + b × 1,699 – 2 × s)
= Exp(14.2995 + -0.0048 × 1,699 – 2 × 0.0968)
= Exp(5.9287)
= $375.68

September 16, 2025 calculations

Top border of price channel:

Exp(Y1,254)
= Exp(a + b × X1,254 + 2 × s)
= Exp(a + b × 1,825 + 2 × s)
= Exp(14.2995 + -0.0048 × 1,825 + 2 × 0.0968)
= Exp(5.7097)
= $301.78

Bottom border of price channel:

Exp(Y1,254)
= Exp(a + b × X1,254 – 2 × s)
= Exp(a + b × 1,825 – 2 × s)
= Exp(14.2995 + -0.0048 × 1,825 – 2 × 0.0968)
= Exp(5.3223)
= $204.86

Description

  • The secondary trend is decreasing.
  • The decline rate of the secondary trend is 82.74% per annum.
  • CHTR price at the close of September 16, 2025 was inside the secondary price channel.

See Also