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 37.53% per annum.
  • RSG price at the close of July 26, 2024 was $190.30 and was inside the primary price channel.
  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 17.73% per annum.
  • RSG price at the close of July 26, 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 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: January 3, 2023
End date: July 24, 2024

a = 3.7037

b = 0.0009

s = 0.0349

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0009) – 1
= 37.53%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0349) – 1
= 14.96%

January 3, 2023 calculations

Top border of price channel:

Exp(Y865)
= Exp(a + b × X865 + 2 × s)
= Exp(a + b × 1,254 + 2 × s)
= Exp(3.7037 + 0.0009 × 1,254 + 2 × 0.0349)
= Exp(4.8682)
= $130.09

Bottom border of price channel:

Exp(Y865)
= Exp(a + b × X865 – 2 × s)
= Exp(a + b × 1,254 – 2 × s)
= Exp(3.7037 + 0.0009 × 1,254 – 2 × 0.0349)
= Exp(4.7288)
= $113.16

July 24, 2024 calculations

Top border of price channel:

Exp(Y1,255)
= Exp(a + b × X1,255 + 2 × s)
= Exp(a + b × 1,822 + 2 × s)
= Exp(3.7037 + 0.0009 × 1,822 + 2 × 0.0349)
= Exp(5.3641)
= $213.59

Bottom border of price channel:

Exp(Y1,255)
= Exp(a + b × X1,255 – 2 × s)
= Exp(a + b × 1,822 – 2 × s)
= Exp(3.7037 + 0.0009 × 1,822 – 2 × 0.0349)
= Exp(5.2247)
= $185.80

Description

  • The primary trend is increasing.
  • The growth rate of the primary trend is 37.53% per annum.
  • RSG price at the close of July 26, 2024 was $190.30 and was inside the primary price channel.

Secondary Trend

Start date: February 15, 2024
End date: July 26, 2024

a = 4.4608

b = 0.0004

s = 0.0202

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0004) – 1
= 17.73%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0202) – 1
= 8.43%

February 15, 2024 calculations

Top border of price channel:

Exp(Y1,146)
= Exp(a + b × X1,146 + 2 × s)
= Exp(a + b × 1,662 + 2 × s)
= Exp(4.4608 + 0.0004 × 1,662 + 2 × 0.0202)
= Exp(5.2446)
= $189.55

Bottom border of price channel:

Exp(Y1,146)
= Exp(a + b × X1,146 – 2 × s)
= Exp(a + b × 1,662 – 2 × s)
= Exp(4.4608 + 0.0004 × 1,662 – 2 × 0.0202)
= Exp(5.1637)
= $174.81

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(4.4608 + 0.0004 × 1,824 + 2 × 0.0202)
= Exp(5.3171)
= $203.79

Bottom border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,824 – 2 × s)
= Exp(4.4608 + 0.0004 × 1,824 – 2 × 0.0202)
= Exp(5.2362)
= $187.95

Description

  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 17.73% per annum.
  • RSG price at the close of July 26, 2024 was inside the secondary price channel.