Stock Price Trends

Affiliated Managers Group Inc (AMG)

Affiliated Managers Group, Inc., through its affiliates, is an asset management company providing investment management services to mutual funds, institutional clients and high net worth individuals in the United States. The company is headquartered in Prides Crossing, Massachusetts.

Stock Price Trends

Stock price trends estimated using linear regression.

Key facts

  • The primary trend is decreasing.
  • The decline rate of the primary trend is 4.43% per annum.
  • AMG price at the close of November 19, 2024 was $183.11 and was higher than the top border of the primary price channel by $21.71 (13.45%). This indicates a possible reversal in the primary trend direction.
  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 34.45% per annum.
  • AMG price at the close of November 19, 2024 was inside the secondary price channel.
  • The direction of the secondary trend is opposite to the direction of the primary trend. This indicates a possible reversal in the direction of the primary trend.

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 AMG 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: February 8, 2021
End date: February 2, 2024

a = 5.0998

b = -0.0001

s = 0.1055

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × -0.0001) – 1
= -4.43%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.1055) – 1
= 52.49%

February 8, 2021 calculations

Top border of price channel:

Exp(Y305)
= Exp(a + b × X305 + 2 × s)
= Exp(a + b × 446 + 2 × s)
= Exp(5.0998 + -0.0001 × 446 + 2 × 0.1055)
= Exp(5.2554)
= $191.59

Bottom border of price channel:

Exp(Y305)
= Exp(a + b × X305 – 2 × s)
= Exp(a + b × 446 – 2 × s)
= Exp(5.0998 + -0.0001 × 446 – 2 × 0.1055)
= Exp(4.8334)
= $125.64

February 2, 2024 calculations

Top border of price channel:

Exp(Y1,056)
= Exp(a + b × X1,056 + 2 × s)
= Exp(a + b × 1,535 + 2 × s)
= Exp(5.0998 + -0.0001 × 1,535 + 2 × 0.1055)
= Exp(5.1201)
= $167.34

Bottom border of price channel:

Exp(Y1,056)
= Exp(a + b × X1,056 – 2 × s)
= Exp(a + b × 1,535 – 2 × s)
= Exp(5.0998 + -0.0001 × 1,535 – 2 × 0.1055)
= Exp(4.6981)
= $109.74

Description

  • The primary trend is decreasing.
  • The decline rate of the primary trend is 4.43% per annum.
  • AMG price at the close of November 19, 2024 was $183.11 and was higher than the top border of the primary price channel by $21.71 (13.45%). This indicates a possible reversal in the primary trend direction.

Secondary Trend

Start date: August 9, 2023
End date: November 19, 2024

a = 3.7501

b = 0.0008

s = 0.0448

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0008) – 1
= 34.45%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0448) – 1
= 19.64%

August 9, 2023 calculations

Top border of price channel:

Exp(Y934)
= Exp(a + b × X934 + 2 × s)
= Exp(a + b × 1,358 + 2 × s)
= Exp(3.7501 + 0.0008 × 1,358 + 2 × 0.0448)
= Exp(4.9412)
= $139.93

Bottom border of price channel:

Exp(Y934)
= Exp(a + b × X934 – 2 × s)
= Exp(a + b × 1,358 – 2 × s)
= Exp(3.7501 + 0.0008 × 1,358 – 2 × 0.0448)
= Exp(4.7619)
= $116.96

November 19, 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(3.7501 + 0.0008 × 1,826 + 2 × 0.0448)
= Exp(5.3207)
= $204.54

Bottom border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(3.7501 + 0.0008 × 1,826 – 2 × 0.0448)
= Exp(5.1415)
= $170.96

Description

  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 34.45% per annum.
  • AMG price at the close of November 19, 2024 was inside the secondary price channel.