Stock Price Trends

State Street Corp (STT)

State Street Corporation is an American financial services and bank holding company headquartered at One Lincoln Street in Boston with operations worldwide.

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 31.28% per annum.
  • STT price at the close of November 20, 2024 was $95.30 and was inside the primary price channel.
  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 107.68% per annum.
  • STT 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 STT 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 15, 2023
End date: November 20, 2024

a = 3.1211

b = 0.0007

s = 0.0501

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0007) – 1
= 31.28%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0501) – 1
= 22.20%

August 15, 2023 calculations

Top border of price channel:

Exp(Y937)
= Exp(a + b × X937 + 2 × s)
= Exp(a + b × 1,363 + 2 × s)
= Exp(3.1211 + 0.0007 × 1,363 + 2 × 0.0501)
= Exp(4.2377)
= $69.25

Bottom border of price channel:

Exp(Y937)
= Exp(a + b × X937 – 2 × s)
= Exp(a + b × 1,363 – 2 × s)
= Exp(3.1211 + 0.0007 × 1,363 – 2 × 0.0501)
= Exp(4.0372)
= $56.67

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(3.1211 + 0.0007 × 1,826 + 2 × 0.0501)
= Exp(4.5829)
= $97.80

Bottom border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(3.1211 + 0.0007 × 1,826 – 2 × 0.0501)
= Exp(4.3824)
= $80.03

Description

  • The primary trend is increasing.
  • The growth rate of the primary trend is 31.28% per annum.
  • STT price at the close of November 20, 2024 was $95.30 and was inside the primary price channel.

Secondary Trend

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

a = 0.9176

b = 0.0020

s = 0.0187

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0020) – 1
= 107.68%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0187) – 1
= 7.77%

August 5, 2024 calculations

Top border of price channel:

Exp(Y1,181)
= Exp(a + b × X1,181 + 2 × s)
= Exp(a + b × 1,719 + 2 × s)
= Exp(0.9176 + 0.0020 × 1,719 + 2 × 0.0187)
= Exp(4.3970)
= $81.20

Bottom border of price channel:

Exp(Y1,181)
= Exp(a + b × X1,181 – 2 × s)
= Exp(a + b × 1,719 – 2 × s)
= Exp(0.9176 + 0.0020 × 1,719 – 2 × 0.0187)
= Exp(4.3221)
= $75.35

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(0.9176 + 0.0020 × 1,826 + 2 × 0.0187)
= Exp(4.6112)
= $100.61

Bottom border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(0.9176 + 0.0020 × 1,826 – 2 × 0.0187)
= Exp(4.5363)
= $93.35

Description

  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 107.68% per annum.
  • STT price at the close of November 20, 2024 was inside the secondary price channel.