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 33.55% per annum.
  • RSG price at the close of April 2, 2025 was $244.82 and was inside the primary price channel.
  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 102.53% per annum.
  • RSG price at the close of April 2, 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: April 2, 2025

a = 4.0130

b = 0.0008

s = 0.0363

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0008) – 1
= 33.55%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0363) – 1
= 15.62%

December 19, 2022 calculations

Top border of price channel:

Exp(Y683)
= Exp(a + b × X683 + 2 × s)
= Exp(a + b × 990 + 2 × s)
= Exp(4.0130 + 0.0008 × 990 + 2 × 0.0363)
= Exp(4.8704)
= $130.37

Bottom border of price channel:

Exp(Y683)
= Exp(a + b × X683 – 2 × s)
= Exp(a + b × 990 – 2 × s)
= Exp(4.0130 + 0.0008 × 990 – 2 × 0.0363)
= Exp(4.7252)
= $112.75

April 2, 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(4.0130 + 0.0008 × 1,825 + 2 × 0.0363)
= Exp(5.5323)
= $252.72

Bottom border of price channel:

Exp(Y1,255)
= Exp(a + b × X1,255 – 2 × s)
= Exp(a + b × 1,825 – 2 × s)
= Exp(4.0130 + 0.0008 × 1,825 – 2 × 0.0363)
= Exp(5.3871)
= $218.58

Description

  • The primary trend is increasing.
  • The growth rate of the primary trend is 33.55% per annum.
  • RSG price at the close of April 2, 2025 was $244.82 and was inside the primary price channel.

Secondary Trend

Start date: December 18, 2024
End date: April 2, 2025

a = 1.9680

b = 0.0019

s = 0.0157

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0019) – 1
= 102.53%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0157) – 1
= 6.50%

December 18, 2024 calculations

Top border of price channel:

Exp(Y1,185)
= Exp(a + b × X1,185 + 2 × s)
= Exp(a + b × 1,720 + 2 × s)
= Exp(1.9680 + 0.0019 × 1,720 + 2 × 0.0157)
= Exp(5.3251)
= $205.44

Bottom border of price channel:

Exp(Y1,185)
= Exp(a + b × X1,185 – 2 × s)
= Exp(a + b × 1,720 – 2 × s)
= Exp(1.9680 + 0.0019 × 1,720 – 2 × 0.0157)
= Exp(5.2622)
= $192.90

April 2, 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(1.9680 + 0.0019 × 1,825 + 2 × 0.0157)
= Exp(5.5282)
= $251.68

Bottom border of price channel:

Exp(Y1,255)
= Exp(a + b × X1,255 – 2 × s)
= Exp(a + b × 1,825 – 2 × s)
= Exp(1.9680 + 0.0019 × 1,825 – 2 × 0.0157)
= Exp(5.4652)
= $236.32

Description

  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 102.53% per annum.
  • RSG price at the close of April 2, 2025 was inside the secondary price channel.