Stock Price Trends

Alexandria Real Estate Equities Inc (ARE)

Alexandria Real Estate Equities, Inc. is an American real estate investment trust that invests in office buildings and laboratories leased to tenants in the life science and technology industries.

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 23.80% per annum.
  • ARE price at the close of November 20, 2024 was $104.31 and was higher than the top border of the primary price channel by $12.37 (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 5.26% per annum.
  • ARE price at the close of November 20, 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 ARE 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: June 3, 2021
End date: November 30, 2023

a = 5.7040

b = -0.0007

s = 0.0884

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × -0.0007) – 1
= -23.80%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0884) – 1
= 42.45%

June 3, 2021 calculations

Top border of price channel:

Exp(Y384)
= Exp(a + b × X384 + 2 × s)
= Exp(a + b × 560 + 2 × s)
= Exp(5.7040 + -0.0007 × 560 + 2 × 0.0884)
= Exp(5.4639)
= $236.02

Bottom border of price channel:

Exp(Y384)
= Exp(a + b × X384 – 2 × s)
= Exp(a + b × 560 – 2 × s)
= Exp(5.7040 + -0.0007 × 560 – 2 × 0.0884)
= Exp(5.1101)
= $165.69

November 30, 2023 calculations

Top border of price channel:

Exp(Y1,012)
= Exp(a + b × X1,012 + 2 × s)
= Exp(a + b × 1,470 + 2 × s)
= Exp(5.7040 + -0.0007 × 1,470 + 2 × 0.0884)
= Exp(4.7863)
= $119.85

Bottom border of price channel:

Exp(Y1,012)
= Exp(a + b × X1,012 – 2 × s)
= Exp(a + b × 1,470 – 2 × s)
= Exp(5.7040 + -0.0007 × 1,470 – 2 × 0.0884)
= Exp(4.4325)
= $84.14

Description

  • The primary trend is decreasing.
  • The decline rate of the primary trend is 23.80% per annum.
  • ARE price at the close of November 20, 2024 was $104.31 and was higher than the top border of the primary price channel by $12.37 (13.45%). This indicates a possible reversal in the primary trend direction.

Secondary Trend

Start date: March 10, 2023
End date: November 14, 2024

a = 4.5146

b = 0.0001

s = 0.0714

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0001) – 1
= 5.26%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0714) – 1
= 33.06%

March 10, 2023 calculations

Top border of price channel:

Exp(Y829)
= Exp(a + b × X829 + 2 × s)
= Exp(a + b × 1,205 + 2 × s)
= Exp(4.5146 + 0.0001 × 1,205 + 2 × 0.0714)
= Exp(4.8268)
= $124.80

Bottom border of price channel:

Exp(Y829)
= Exp(a + b × X829 – 2 × s)
= Exp(a + b × 1,205 – 2 × s)
= Exp(4.5146 + 0.0001 × 1,205 – 2 × 0.0714)
= Exp(4.5411)
= $93.79

November 14, 2024 calculations

Top border of price channel:

Exp(Y1,253)
= Exp(a + b × X1,253 + 2 × s)
= Exp(a + b × 1,820 + 2 × s)
= Exp(4.5146 + 0.0001 × 1,820 + 2 × 0.0714)
= Exp(4.9132)
= $136.07

Bottom border of price channel:

Exp(Y1,253)
= Exp(a + b × X1,253 – 2 × s)
= Exp(a + b × 1,820 – 2 × s)
= Exp(4.5146 + 0.0001 × 1,820 – 2 × 0.0714)
= Exp(4.6275)
= $102.26

Description

  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 5.26% per annum.
  • ARE price at the close of November 20, 2024 was inside the secondary price channel.