Stock Price Trends

SL Green Realty Corp (SLG)

SL Green Realty Corp.

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 128.37% per annum.
  • SLG price at the close of July 26, 2024 was $64.61 and was inside the primary price channel.
  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 74.03% per annum.
  • SLG price at the close of July 26, 2024 was higher than the top border of the secondary price channel by $0.07 (0.11%).

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 SLG 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 16, 2023
End date: July 26, 2024

a = 0.0320

b = 0.0023

s = 0.1036

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0023) – 1
= 128.37%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.1036) – 1
= 51.32%

March 16, 2023 calculations

Top border of price channel:

Exp(Y915)
= Exp(a + b × X915 + 2 × s)
= Exp(a + b × 1,326 + 2 × s)
= Exp(0.0320 + 0.0023 × 1,326 + 2 × 0.1036)
= Exp(3.2392)
= $25.51

Bottom border of price channel:

Exp(Y915)
= Exp(a + b × X915 – 2 × s)
= Exp(a + b × 1,326 – 2 × s)
= Exp(0.0320 + 0.0023 × 1,326 – 2 × 0.1036)
= Exp(2.8249)
= $16.86

July 26, 2024 calculations

Top border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 + 2 × s)
= Exp(a + b × 1,824 + 2 × s)
= Exp(0.0320 + 0.0023 × 1,824 + 2 × 0.1036)
= Exp(4.3659)
= $78.72

Bottom border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,824 – 2 × s)
= Exp(0.0320 + 0.0023 × 1,824 – 2 × 0.1036)
= Exp(3.9516)
= $52.02

Description

  • The primary trend is increasing.
  • The growth rate of the primary trend is 128.37% per annum.
  • SLG price at the close of July 26, 2024 was $64.61 and was inside the primary price channel.

Secondary Trend

Start date: December 4, 2023
End date: July 26, 2024

a = 1.3111

b = 0.0015

s = 0.0438

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0015) – 1
= 74.03%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0438) – 1
= 19.13%

December 4, 2023 calculations

Top border of price channel:

Exp(Y1,096)
= Exp(a + b × X1,096 + 2 × s)
= Exp(a + b × 1,589 + 2 × s)
= Exp(1.3111 + 0.0015 × 1,589 + 2 × 0.0438)
= Exp(3.8105)
= $45.17

Bottom border of price channel:

Exp(Y1,096)
= Exp(a + b × X1,096 – 2 × s)
= Exp(a + b × 1,589 – 2 × s)
= Exp(1.3111 + 0.0015 × 1,589 – 2 × 0.0438)
= Exp(3.6355)
= $37.92

July 26, 2024 calculations

Top border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 + 2 × s)
= Exp(a + b × 1,824 + 2 × s)
= Exp(1.3111 + 0.0015 × 1,824 + 2 × 0.0438)
= Exp(4.1672)
= $64.54

Bottom border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,824 – 2 × s)
= Exp(1.3111 + 0.0015 × 1,824 – 2 × 0.0438)
= Exp(3.9922)
= $54.18

Description

  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 74.03% per annum.
  • SLG price at the close of July 26, 2024 was higher than the top border of the secondary price channel by $0.07 (0.11%).