Stock Price Trends

T-Mobile US Inc (TMUS)

T-Mobile US, Inc., doing business under the global brand name T-Mobile, is an American wireless network operator. Its headquarters are located in Bellevue, Washington, in the Seattle metropolitan area and Overland Park, Kansas, in the Kansas City metropolitan area.

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 90.06% per annum.
  • TMUS price at the close of November 20, 2024 was $235.47 and was inside the primary price channel.
  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 177.18% per annum.
  • TMUS price at the close of November 20, 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 TMUS 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: April 5, 2024
End date: November 20, 2024

a = 2.2257

b = 0.0018

s = 0.0256

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0018) – 1
= 90.06%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0256) – 1
= 10.77%

April 5, 2024 calculations

Top border of price channel:

Exp(Y1,098)
= Exp(a + b × X1,098 + 2 × s)
= Exp(a + b × 1,597 + 2 × s)
= Exp(2.2257 + 0.0018 × 1,597 + 2 × 0.0256)
= Exp(5.0865)
= $161.82

Bottom border of price channel:

Exp(Y1,098)
= Exp(a + b × X1,098 – 2 × s)
= Exp(a + b × 1,597 – 2 × s)
= Exp(2.2257 + 0.0018 × 1,597 – 2 × 0.0256)
= Exp(4.9842)
= $146.09

November 20, 2024 calculations

Top border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 + 2 × s)
= Exp(a + b × 1,826 + 2 × s)
= Exp(2.2257 + 0.0018 × 1,826 + 2 × 0.0256)
= Exp(5.4893)
= $242.10

Bottom border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(2.2257 + 0.0018 × 1,826 – 2 × 0.0256)
= Exp(5.3871)
= $218.57

Description

  • The primary trend is increasing.
  • The growth rate of the primary trend is 90.06% per annum.
  • TMUS price at the close of November 20, 2024 was $235.47 and was inside the primary price channel.

Secondary Trend

Start date: September 5, 2024
End date: November 20, 2024

a = 0.3794

b = 0.0028

s = 0.0154

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0028) – 1
= 177.18%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0154) – 1
= 6.37%

September 5, 2024 calculations

Top border of price channel:

Exp(Y1,203)
= Exp(a + b × X1,203 + 2 × s)
= Exp(a + b × 1,750 + 2 × s)
= Exp(0.3794 + 0.0028 × 1,750 + 2 × 0.0154)
= Exp(5.2982)
= $199.98

Bottom border of price channel:

Exp(Y1,203)
= Exp(a + b × X1,203 – 2 × s)
= Exp(a + b × 1,750 – 2 × s)
= Exp(0.3794 + 0.0028 × 1,750 – 2 × 0.0154)
= Exp(5.2365)
= $188.01

November 20, 2024 calculations

Top border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 + 2 × s)
= Exp(a + b × 1,826 + 2 × s)
= Exp(0.3794 + 0.0028 × 1,826 + 2 × 0.0154)
= Exp(5.5105)
= $247.27

Bottom border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(0.3794 + 0.0028 × 1,826 – 2 × 0.0154)
= Exp(5.4488)
= $232.47

Description

  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 177.18% per annum.
  • TMUS price at the close of November 20, 2024 was inside the secondary price channel.