Stock Price Trends

Telephone and Data Systems Inc (TDS)

Telephone and Data Systems, Inc., a telecommunications company, provides communications services in the United States. The company is headquartered in Chicago, Illinois.

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 84.30% per annum.
  • TDS price at the close of July 14, 2025 was $39.75 and was inside the primary price channel.
  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 4.90% per annum.
  • TDS price at the close of July 14, 2025 was higher than the top border of the secondary price channel by $0.28 (0.71%).

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 TDS 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: November 11, 2022
End date: July 14, 2025

a = 0.6546

b = 0.0017

s = 0.2077

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0017) – 1
= 84.30%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.2077) – 1
= 129.51%

November 11, 2022 calculations

Top border of price channel:

Exp(Y588)
= Exp(a + b × X588 + 2 × s)
= Exp(a + b × 849 + 2 × s)
= Exp(0.6546 + 0.0017 × 849 + 2 × 0.2077)
= Exp(2.4921)
= $12.09

Bottom border of price channel:

Exp(Y588)
= Exp(a + b × X588 – 2 × s)
= Exp(a + b × 849 – 2 × s)
= Exp(0.6546 + 0.0017 × 849 – 2 × 0.2077)
= Exp(1.6613)
= $5.27

July 14, 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(0.6546 + 0.0017 × 1,825 + 2 × 0.2077)
= Exp(4.1269)
= $61.98

Bottom border of price channel:

Exp(Y1,254)
= Exp(a + b × X1,254 – 2 × s)
= Exp(a + b × 1,825 – 2 × s)
= Exp(0.6546 + 0.0017 × 1,825 – 2 × 0.2077)
= Exp(3.2961)
= $27.01

Description

  • The primary trend is increasing.
  • The growth rate of the primary trend is 84.30% per annum.
  • TDS price at the close of July 14, 2025 was $39.75 and was inside the primary price channel.

Secondary Trend

Start date: November 21, 2024
End date: July 14, 2025

a = 3.3398

b = 0.0001

s = 0.0482

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0001) – 1
= 4.90%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0482) – 1
= 21.27%

November 21, 2024 calculations

Top border of price channel:

Exp(Y1,097)
= Exp(a + b × X1,097 + 2 × s)
= Exp(a + b × 1,590 + 2 × s)
= Exp(3.3398 + 0.0001 × 1,590 + 2 × 0.0482)
= Exp(3.6447)
= $38.27

Bottom border of price channel:

Exp(Y1,097)
= Exp(a + b × X1,097 – 2 × s)
= Exp(a + b × 1,590 – 2 × s)
= Exp(3.3398 + 0.0001 × 1,590 – 2 × 0.0482)
= Exp(3.4519)
= $31.56

July 14, 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(3.3398 + 0.0001 × 1,825 + 2 × 0.0482)
= Exp(3.6755)
= $39.47

Bottom border of price channel:

Exp(Y1,254)
= Exp(a + b × X1,254 – 2 × s)
= Exp(a + b × 1,825 – 2 × s)
= Exp(3.3398 + 0.0001 × 1,825 – 2 × 0.0482)
= Exp(3.4827)
= $32.55

Description

  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 4.90% per annum.
  • TDS price at the close of July 14, 2025 was higher than the top border of the secondary price channel by $0.28 (0.71%).