Stock Price Trends

CBRE Group Inc Class A (CBRE)

CBRE Group, Inc. is an American commercial real estate services and investment firm. The abbreviation CBRE stands for Coldwell Banker Richard Ellis. It is the largest commercial real estate services company in the world.

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 141.85% per annum.
  • CBRE price at the close of November 19, 2024 was $132.16 and was inside the primary price channel.
  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 100.85% per annum.
  • CBRE price at the close of November 19, 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 CBRE 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: April 16, 2024
End date: November 19, 2024

a = 0.4961

b = 0.0024

s = 0.0451

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0024) – 1
= 141.85%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0451) – 1
= 19.76%

April 16, 2024 calculations

Top border of price channel:

Exp(Y1,106)
= Exp(a + b × X1,106 + 2 × s)
= Exp(a + b × 1,609 + 2 × s)
= Exp(0.4961 + 0.0024 × 1,609 + 2 × 0.0451)
= Exp(4.4794)
= $88.18

Bottom border of price channel:

Exp(Y1,106)
= Exp(a + b × X1,106 – 2 × s)
= Exp(a + b × 1,609 – 2 × s)
= Exp(0.4961 + 0.0024 × 1,609 – 2 × 0.0451)
= Exp(4.2990)
= $73.63

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(0.4961 + 0.0024 × 1,826 + 2 × 0.0451)
= Exp(5.0044)
= $149.07

Bottom border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(0.4961 + 0.0024 × 1,826 – 2 × 0.0451)
= Exp(4.8241)
= $124.47

Description

  • The primary trend is increasing.
  • The growth rate of the primary trend is 141.85% per annum.
  • CBRE price at the close of November 19, 2024 was $132.16 and was inside the primary price channel.

Secondary Trend

Start date: July 25, 2024
End date: November 19, 2024

a = 1.4112

b = 0.0019

s = 0.0205

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0019) – 1
= 100.85%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0205) – 1
= 8.54%

July 25, 2024 calculations

Top border of price channel:

Exp(Y1,175)
= Exp(a + b × X1,175 + 2 × s)
= Exp(a + b × 1,709 + 2 × s)
= Exp(1.4112 + 0.0019 × 1,709 + 2 × 0.0205)
= Exp(4.7174)
= $111.88

Bottom border of price channel:

Exp(Y1,175)
= Exp(a + b × X1,175 – 2 × s)
= Exp(a + b × 1,709 – 2 × s)
= Exp(1.4112 + 0.0019 × 1,709 – 2 × 0.0205)
= Exp(4.6354)
= $103.07

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(1.4112 + 0.0019 × 1,826 + 2 × 0.0205)
= Exp(4.9410)
= $139.90

Bottom border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(1.4112 + 0.0019 × 1,826 – 2 × 0.0205)
= Exp(4.8590)
= $128.89

Description

  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 100.85% per annum.
  • CBRE price at the close of November 19, 2024 was inside the secondary price channel.