Stock Price Trends

Republic Services Inc (RSG)

Republic Services, Inc is the second largest provider of non-hazardous solid waste collection, transfer, disposal, recycling, and energy services in the United States, as measured by revenue.

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 34.96% per annum.
  • RSG price at the close of March 5, 2025 was $235.76 and was inside the primary price channel.
  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 166.50% per annum.
  • RSG price at the close of March 5, 2025 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 RSG 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: December 19, 2022
End date: December 10, 2024

a = 3.9570

b = 0.0008

s = 0.0344

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0008) – 1
= 34.96%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0344) – 1
= 14.75%

December 19, 2022 calculations

Top border of price channel:

Exp(Y703)
= Exp(a + b × X703 + 2 × s)
= Exp(a + b × 1,018 + 2 × s)
= Exp(3.9570 + 0.0008 × 1,018 + 2 × 0.0344)
= Exp(4.8620)
= $129.28

Bottom border of price channel:

Exp(Y703)
= Exp(a + b × X703 – 2 × s)
= Exp(a + b × 1,018 – 2 × s)
= Exp(3.9570 + 0.0008 × 1,018 – 2 × 0.0344)
= Exp(4.7243)
= $112.66

December 10, 2024 calculations

Top border of price channel:

Exp(Y1,199)
= Exp(a + b × X1,199 + 2 × s)
= Exp(a + b × 1,740 + 2 × s)
= Exp(3.9570 + 0.0008 × 1,740 + 2 × 0.0344)
= Exp(5.4550)
= $233.92

Bottom border of price channel:

Exp(Y1,199)
= Exp(a + b × X1,199 – 2 × s)
= Exp(a + b × 1,740 – 2 × s)
= Exp(3.9570 + 0.0008 × 1,740 – 2 × 0.0344)
= Exp(5.3174)
= $203.85

Description

  • The primary trend is increasing.
  • The growth rate of the primary trend is 34.96% per annum.
  • RSG price at the close of March 5, 2025 was $235.76 and was inside the primary price channel.

Secondary Trend

Start date: December 30, 2024
End date: March 5, 2025

a = 0.5712

b = 0.0027

s = 0.0084

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0027) – 1
= 166.50%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0084) – 1
= 3.43%

December 30, 2024 calculations

Top border of price channel:

Exp(Y1,212)
= Exp(a + b × X1,212 + 2 × s)
= Exp(a + b × 1,760 + 2 × s)
= Exp(0.5712 + 0.0027 × 1,760 + 2 × 0.0084)
= Exp(5.3146)
= $203.27

Bottom border of price channel:

Exp(Y1,212)
= Exp(a + b × X1,212 – 2 × s)
= Exp(a + b × 1,760 – 2 × s)
= Exp(0.5712 + 0.0027 × 1,760 – 2 × 0.0084)
= Exp(5.2808)
= $196.54

March 5, 2025 calculations

Top border of price channel:

Exp(Y1,255)
= Exp(a + b × X1,255 + 2 × s)
= Exp(a + b × 1,825 + 2 × s)
= Exp(0.5712 + 0.0027 × 1,825 + 2 × 0.0084)
= Exp(5.4891)
= $242.04

Bottom border of price channel:

Exp(Y1,255)
= Exp(a + b × X1,255 – 2 × s)
= Exp(a + b × 1,825 – 2 × s)
= Exp(0.5712 + 0.0027 × 1,825 – 2 × 0.0084)
= Exp(5.4554)
= $234.02

Description

  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 166.50% per annum.
  • RSG price at the close of March 5, 2025 was inside the secondary price channel.