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 5.57% per annum.
- TMUS price at the close of May 1, 2024 was $165.47 and was inside the primary price channel.
- The secondary trend is increasing.
- The growth rate of the secondary trend is 36.70% per annum.
- TMUS price at the close of May 1, 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: August 7, 2020
End date: December 5, 2023
a = 4.7209
b = 0.0001
s = 0.0716
Annual growth rate:
Exp(365 × b) – 1
= Exp(365 × 0.0001) – 1
= 5.57%
Price channel spread:
Exp(4 × s) – 1
= Exp(4 × 0.0716) – 1
= 33.16%
August 7, 2020 calculations
Top border of price channel:
Exp(Y320)
= Exp(a + b × X320 + 2 × s)
= Exp(a + b × 463 + 2 × s)
= Exp(4.7209 + 0.0001 × 463 + 2 × 0.0716)
= Exp(4.9329)
= $138.78
Bottom border of price channel:
Exp(Y320)
= Exp(a + b × X320 – 2 × s)
= Exp(a + b × 463 – 2 × s)
= Exp(4.7209 + 0.0001 × 463 – 2 × 0.0716)
= Exp(4.6465)
= $104.22
December 5, 2023 calculations
Top border of price channel:
Exp(Y1,157)
= Exp(a + b × X1,157 + 2 × s)
= Exp(a + b × 1,678 + 2 × s)
= Exp(4.7209 + 0.0001 × 1,678 + 2 × 0.0716)
= Exp(5.1133)
= $166.21
Bottom border of price channel:
Exp(Y1,157)
= Exp(a + b × X1,157 – 2 × s)
= Exp(a + b × 1,678 – 2 × s)
= Exp(4.7209 + 0.0001 × 1,678 – 2 × 0.0716)
= Exp(4.8269)
= $124.82
Description
- The primary trend is increasing.
- The growth rate of the primary trend is 5.57% per annum.
- TMUS price at the close of May 1, 2024 was $165.47 and was inside the primary price channel.
Secondary Trend
Start date: June 2, 2023
End date: April 4, 2024
a = 3.5802
b = 0.0009
s = 0.0270
Annual growth rate:
Exp(365 × b) – 1
= Exp(365 × 0.0009) – 1
= 36.70%
Price channel spread:
Exp(4 × s) – 1
= Exp(4 × 0.0270) – 1
= 11.39%
June 2, 2023 calculations
Top border of price channel:
Exp(Y1,029)
= Exp(a + b × X1,029 + 2 × s)
= Exp(a + b × 1,492 + 2 × s)
= Exp(3.5802 + 0.0009 × 1,492 + 2 × 0.0270)
= Exp(4.9121)
= $135.92
Bottom border of price channel:
Exp(Y1,029)
= Exp(a + b × X1,029 – 2 × s)
= Exp(a + b × 1,492 – 2 × s)
= Exp(3.5802 + 0.0009 × 1,492 – 2 × 0.0270)
= Exp(4.8042)
= $122.03
April 4, 2024 calculations
Top border of price channel:
Exp(Y1,239)
= Exp(a + b × X1,239 + 2 × s)
= Exp(a + b × 1,799 + 2 × s)
= Exp(3.5802 + 0.0009 × 1,799 + 2 × 0.0270)
= Exp(5.1750)
= $176.80
Bottom border of price channel:
Exp(Y1,239)
= Exp(a + b × X1,239 – 2 × s)
= Exp(a + b × 1,799 – 2 × s)
= Exp(3.5802 + 0.0009 × 1,799 – 2 × 0.0270)
= Exp(5.0672)
= $158.73
Description
- The secondary trend is increasing.
- The growth rate of the secondary trend is 36.70% per annum.
- TMUS price at the close of May 1, 2024 was inside the secondary price channel.