Stock Price Trends

Macerich Company (MAC)

None

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 54.35% per annum.
  • MAC price at the close of November 20, 2024 was $19.47 and was inside the primary price channel.
  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 206.44% per annum.
  • MAC price at the close of November 20, 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 MAC 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: March 10, 2023
End date: November 20, 2024

a = 0.7598

b = 0.0012

s = 0.1022

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0012) – 1
= 54.35%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.1022) – 1
= 50.47%

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(0.7598 + 0.0012 × 1,205 + 2 × 0.1022)
= Exp(2.3970)
= $10.99

Bottom border of price channel:

Exp(Y829)
= Exp(a + b × X829 – 2 × s)
= Exp(a + b × 1,205 – 2 × s)
= Exp(0.7598 + 0.0012 × 1,205 – 2 × 0.1022)
= Exp(1.9884)
= $7.30

November 20, 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(0.7598 + 0.0012 × 1,826 + 2 × 0.1022)
= Exp(3.1355)
= $23.00

Bottom border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(0.7598 + 0.0012 × 1,826 – 2 × 0.1022)
= Exp(2.7269)
= $15.29

Description

  • The primary trend is increasing.
  • The growth rate of the primary trend is 54.35% per annum.
  • MAC price at the close of November 20, 2024 was $19.47 and was inside the primary price channel.

Secondary Trend

Start date: August 2, 2024
End date: November 20, 2024

a = -2.6088

b = 0.0031

s = 0.0258

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0031) – 1
= 206.44%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0258) – 1
= 10.86%

August 2, 2024 calculations

Top border of price channel:

Exp(Y1,180)
= Exp(a + b × X1,180 + 2 × s)
= Exp(a + b × 1,716 + 2 × s)
= Exp(-2.6088 + 0.0031 × 1,716 + 2 × 0.0258)
= Exp(2.7077)
= $14.99

Bottom border of price channel:

Exp(Y1,180)
= Exp(a + b × X1,180 – 2 × s)
= Exp(a + b × 1,716 – 2 × s)
= Exp(-2.6088 + 0.0031 × 1,716 – 2 × 0.0258)
= Exp(2.6046)
= $13.53

November 20, 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(-2.6088 + 0.0031 × 1,826 + 2 × 0.0258)
= Exp(3.0452)
= $21.01

Bottom border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(-2.6088 + 0.0031 × 1,826 – 2 × 0.0258)
= Exp(2.9421)
= $18.95

Description

  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 206.44% per annum.
  • MAC price at the close of November 20, 2024 was inside the secondary price channel.