Stock Price Trends

Goldman Sachs Group Inc (GS)

The Goldman Sachs Group, Inc., is an American multinational investment bank and financial services company headquartered in New York City. It offers services in investment management, securities, asset management, prime brokerage, and securities underwriting. It also provides investment banking to institutional investors.

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 51.47% per annum.
  • GS price at the close of December 24, 2025 was $910.78 and was inside the primary price channel.
  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 101.78% per annum.
  • GS price at the close of December 24, 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 GS 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: May 4, 2023
End date: December 24, 2025

a = 4.6403

b = 0.0011

s = 0.0717

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0011) – 1
= 51.47%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0717) – 1
= 33.21%

May 4, 2023 calculations

Top border of price channel:

Exp(Y591)
= Exp(a + b × X591 + 2 × s)
= Exp(a + b × 857 + 2 × s)
= Exp(4.6403 + 0.0011 × 857 + 2 × 0.0717)
= Exp(5.7586)
= $316.90

Bottom border of price channel:

Exp(Y591)
= Exp(a + b × X591 – 2 × s)
= Exp(a + b × 857 – 2 × s)
= Exp(4.6403 + 0.0011 × 857 – 2 × 0.0717)
= Exp(5.4718)
= $237.89

December 24, 2025 calculations

Top border of price channel:

Exp(Y1,254)
= Exp(a + b × X1,254 + 2 × s)
= Exp(a + b × 1,822 + 2 × s)
= Exp(4.6403 + 0.0011 × 1,822 + 2 × 0.0717)
= Exp(6.8564)
= $949.92

Bottom border of price channel:

Exp(Y1,254)
= Exp(a + b × X1,254 – 2 × s)
= Exp(a + b × 1,822 – 2 × s)
= Exp(4.6403 + 0.0011 × 1,822 – 2 × 0.0717)
= Exp(6.5696)
= $713.10

Description

  • The primary trend is increasing.
  • The growth rate of the primary trend is 51.47% per annum.
  • GS price at the close of December 24, 2025 was $910.78 and was inside the primary price channel.

Secondary Trend

Start date: March 10, 2025
End date: December 24, 2025

a = 3.2981

b = 0.0019

s = 0.0534

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0019) – 1
= 101.78%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0534) – 1
= 23.79%

March 10, 2025 calculations

Top border of price channel:

Exp(Y1,053)
= Exp(a + b × X1,053 + 2 × s)
= Exp(a + b × 1,533 + 2 × s)
= Exp(3.2981 + 0.0019 × 1,533 + 2 × 0.0534)
= Exp(6.3533)
= $574.41

Bottom border of price channel:

Exp(Y1,053)
= Exp(a + b × X1,053 – 2 × s)
= Exp(a + b × 1,533 – 2 × s)
= Exp(3.2981 + 0.0019 × 1,533 – 2 × 0.0534)
= Exp(6.1399)
= $464.02

December 24, 2025 calculations

Top border of price channel:

Exp(Y1,254)
= Exp(a + b × X1,254 + 2 × s)
= Exp(a + b × 1,822 + 2 × s)
= Exp(3.2981 + 0.0019 × 1,822 + 2 × 0.0534)
= Exp(6.9092)
= $1,001.44

Bottom border of price channel:

Exp(Y1,254)
= Exp(a + b × X1,254 – 2 × s)
= Exp(a + b × 1,822 – 2 × s)
= Exp(3.2981 + 0.0019 × 1,822 – 2 × 0.0534)
= Exp(6.6958)
= $808.99

Description

  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 101.78% per annum.
  • GS price at the close of December 24, 2025 was inside the secondary price channel.