Stock Price Trends

Jones Lang LaSalle Incorporated (JLL)

Jones Lang LaSalle Incorporated, a professional services company, provides real estate and investment management services in the Americas, Europe, the Middle East, Africa, and Asia Pacific. 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 80.07% per annum.
  • JLL price at the close of January 27, 2025 was $281.00 and was inside the primary price channel.
  • The secondary trend is decreasing.
  • The decline rate of the secondary trend is 12.11% per annum.
  • JLL price at the close of January 27, 2025 was higher than the top border of the secondary price channel by $4.41 (1.60%). This indicates a possible reversal in the secondary trend direction.
  • 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 JLL 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 15, 2023
End date: December 17, 2024

a = 2.7874

b = 0.0016

s = 0.0615

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0016) – 1
= 80.07%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0615) – 1
= 27.89%

September 15, 2023 calculations

Top border of price channel:

Exp(Y915)
= Exp(a + b × X915 + 2 × s)
= Exp(a + b × 1,326 + 2 × s)
= Exp(2.7874 + 0.0016 × 1,326 + 2 × 0.0615)
= Exp(5.0471)
= $155.58

Bottom border of price channel:

Exp(Y915)
= Exp(a + b × X915 – 2 × s)
= Exp(a + b × 1,326 – 2 × s)
= Exp(2.7874 + 0.0016 × 1,326 – 2 × 0.0615)
= Exp(4.8011)
= $121.65

December 17, 2024 calculations

Top border of price channel:

Exp(Y1,231)
= Exp(a + b × X1,231 + 2 × s)
= Exp(a + b × 1,785 + 2 × s)
= Exp(2.7874 + 0.0016 × 1,785 + 2 × 0.0615)
= Exp(5.7868)
= $325.97

Bottom border of price channel:

Exp(Y1,231)
= Exp(a + b × X1,231 – 2 × s)
= Exp(a + b × 1,785 – 2 × s)
= Exp(2.7874 + 0.0016 × 1,785 – 2 × 0.0615)
= Exp(5.5408)
= $254.88

Description

  • The primary trend is increasing.
  • The growth rate of the primary trend is 80.07% per annum.
  • JLL price at the close of January 27, 2025 was $281.00 and was inside the primary price channel.

Secondary Trend

Start date: September 18, 2024
End date: January 22, 2025

a = 6.1975

b = -0.0004

s = 0.0353

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × -0.0004) – 1
= -12.11%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0353) – 1
= 15.14%

September 18, 2024 calculations

Top border of price channel:

Exp(Y1,168)
= Exp(a + b × X1,168 + 2 × s)
= Exp(a + b × 1,695 + 2 × s)
= Exp(6.1975 + -0.0004 × 1,695 + 2 × 0.0353)
= Exp(5.6688)
= $289.70

Bottom border of price channel:

Exp(Y1,168)
= Exp(a + b × X1,168 – 2 × s)
= Exp(a + b × 1,695 – 2 × s)
= Exp(6.1975 + -0.0004 × 1,695 – 2 × 0.0353)
= Exp(5.5278)
= $251.60

January 22, 2025 calculations

Top border of price channel:

Exp(Y1,253)
= Exp(a + b × X1,253 + 2 × s)
= Exp(a + b × 1,821 + 2 × s)
= Exp(6.1975 + -0.0004 × 1,821 + 2 × 0.0353)
= Exp(5.6243)
= $277.08

Bottom border of price channel:

Exp(Y1,253)
= Exp(a + b × X1,253 – 2 × s)
= Exp(a + b × 1,821 – 2 × s)
= Exp(6.1975 + -0.0004 × 1,821 – 2 × 0.0353)
= Exp(5.4833)
= $240.64

Description

  • The secondary trend is decreasing.
  • The decline rate of the secondary trend is 12.11% per annum.
  • JLL price at the close of January 27, 2025 was higher than the top border of the secondary price channel by $4.41 (1.60%). This indicates a possible reversal in the secondary trend direction.