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 33.67% per annum.
  • RSG price at the close of April 24, 2025 was $240.76 and was inside the primary price channel.
  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 83.92% per annum.
  • RSG price at the close of April 24, 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 24, 2025

a = 4.0292

b = 0.0008

s = 0.0360

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0008) – 1
= 33.67%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0360) – 1
= 15.51%

December 19, 2022 calculations

Top border of price channel:

Exp(Y668)
= Exp(a + b × X668 + 2 × s)
= Exp(a + b × 966 + 2 × s)
= Exp(4.0292 + 0.0008 × 966 + 2 × 0.0360)
= Exp(4.8692)
= $130.22

Bottom border of price channel:

Exp(Y668)
= Exp(a + b × X668 – 2 × s)
= Exp(a + b × 966 – 2 × s)
= Exp(4.0292 + 0.0008 × 966 – 2 × 0.0360)
= Exp(4.7250)
= $112.74

April 24, 2025 calculations

Top border of price channel:

Exp(Y1,255)
= Exp(a + b × X1,255 + 2 × s)
= Exp(a + b × 1,823 + 2 × s)
= Exp(4.0292 + 0.0008 × 1,823 + 2 × 0.0360)
= Exp(5.5506)
= $257.38

Bottom border of price channel:

Exp(Y1,255)
= Exp(a + b × X1,255 – 2 × s)
= Exp(a + b × 1,823 – 2 × s)
= Exp(4.0292 + 0.0008 × 1,823 – 2 × 0.0360)
= Exp(5.4064)
= $222.82

Description

  • The primary trend is increasing.
  • The growth rate of the primary trend is 33.67% per annum.
  • RSG price at the close of April 24, 2025 was $240.76 and was inside the primary price channel.

Secondary Trend

Start date: December 17, 2024
End date: April 24, 2025

a = 2.4733

b = 0.0017

s = 0.0203

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0017) – 1
= 83.92%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0203) – 1
= 8.46%

December 17, 2024 calculations

Top border of price channel:

Exp(Y1,169)
= Exp(a + b × X1,169 + 2 × s)
= Exp(a + b × 1,695 + 2 × s)
= Exp(2.4733 + 0.0017 × 1,695 + 2 × 0.0203)
= Exp(5.3435)
= $209.25

Bottom border of price channel:

Exp(Y1,169)
= Exp(a + b × X1,169 – 2 × s)
= Exp(a + b × 1,695 – 2 × s)
= Exp(2.4733 + 0.0017 × 1,695 – 2 × 0.0203)
= Exp(5.2623)
= $192.93

April 24, 2025 calculations

Top border of price channel:

Exp(Y1,255)
= Exp(a + b × X1,255 + 2 × s)
= Exp(a + b × 1,823 + 2 × s)
= Exp(2.4733 + 0.0017 × 1,823 + 2 × 0.0203)
= Exp(5.5572)
= $259.10

Bottom border of price channel:

Exp(Y1,255)
= Exp(a + b × X1,255 – 2 × s)
= Exp(a + b × 1,823 – 2 × s)
= Exp(2.4733 + 0.0017 × 1,823 – 2 × 0.0203)
= Exp(5.4760)
= $238.89

Description

  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 83.92% per annum.
  • RSG price at the close of April 24, 2025 was inside the secondary price channel.