Stock Price Trends

Janus Henderson Group PLC (JHG)

Janus Henderson Group plc is an asset management portfolio entity. The company is headquartered in London, United Kingdom with additional offices in Jersey, United Kingdom and Sydney, Australia.

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 70.11% per annum.
  • JHG price at the close of July 25, 2024 was $36.26 and was inside the primary price channel.
  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 43.04% per annum.
  • JHG price at the close of July 25, 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 JHG 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: September 26, 2023
End date: July 25, 2024

a = 0.9434

b = 0.0015

s = 0.0468

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0015) – 1
= 70.11%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0468) – 1
= 20.61%

September 26, 2023 calculations

Top border of price channel:

Exp(Y1,049)
= Exp(a + b × X1,049 + 2 × s)
= Exp(a + b × 1,523 + 2 × s)
= Exp(0.9434 + 0.0015 × 1,523 + 2 × 0.0468)
= Exp(3.2540)
= $25.89

Bottom border of price channel:

Exp(Y1,049)
= Exp(a + b × X1,049 – 2 × s)
= Exp(a + b × 1,523 – 2 × s)
= Exp(0.9434 + 0.0015 × 1,523 – 2 × 0.0468)
= Exp(3.0667)
= $21.47

July 25, 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(0.9434 + 0.0015 × 1,826 + 2 × 0.0468)
= Exp(3.6951)
= $40.25

Bottom border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(0.9434 + 0.0015 × 1,826 – 2 × 0.0468)
= Exp(3.5077)
= $33.37

Description

  • The primary trend is increasing.
  • The growth rate of the primary trend is 70.11% per annum.
  • JHG price at the close of July 25, 2024 was $36.26 and was inside the primary price channel.

Secondary Trend

Start date: December 13, 2023
End date: July 25, 2024

a = 1.7702

b = 0.0010

s = 0.0260

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0010) – 1
= 43.04%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0260) – 1
= 10.94%

December 13, 2023 calculations

Top border of price channel:

Exp(Y1,104)
= Exp(a + b × X1,104 + 2 × s)
= Exp(a + b × 1,601 + 2 × s)
= Exp(1.7702 + 0.0010 × 1,601 + 2 × 0.0260)
= Exp(3.3923)
= $29.74

Bottom border of price channel:

Exp(Y1,104)
= Exp(a + b × X1,104 – 2 × s)
= Exp(a + b × 1,601 – 2 × s)
= Exp(1.7702 + 0.0010 × 1,601 – 2 × 0.0260)
= Exp(3.2885)
= $26.80

July 25, 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(1.7702 + 0.0010 × 1,826 + 2 × 0.0260)
= Exp(3.6130)
= $37.08

Bottom border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(1.7702 + 0.0010 × 1,826 – 2 × 0.0260)
= Exp(3.5091)
= $33.42

Description

  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 43.04% per annum.
  • JHG price at the close of July 25, 2024 was inside the secondary price channel.