# Rollins Inc (ROL)

Rollins, Inc. is a North American consumer and commercial services company.

## 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 45.83% per annum.
- ROL price at the close of August 12, 2024 was $47.78 and was inside the primary price channel.
- The secondary trend is increasing.
- The growth rate of the secondary trend is 28.07% per annum.
- ROL price at the close of August 12, 2024 was inside the secondary price channel.

### Linear Regression Model

Model equation:

Y_{i} = α + β × X_{i} + ε_{i}

Top border of price channel:

Exp(Y_{i}) = Exp(a + b × X_{i} + 2 × s)

Bottom border of price channel:

Exp(Y_{i}) = Exp(a + b × X_{i} – 2 × s)

where:

i - observation number

Y_{i} - natural logarithm of ROL price

X_{i} - time index, 1 day interval

σ - standard deviation of ε_{i}

a - estimator of α

b - estimator of β

s - estimator of σ

Exp() - calculates the exponent of e

### Primary Trend

Start date: September 5, 2023

End date: July 24, 2024

a = 2.0495

b = 0.0010

s = 0.0397

Annual growth rate:

Exp(365 × b) – 1

= Exp(365 × 0.0010) – 1

= 45.83%

Price channel spread:

Exp(4 × s) – 1

= Exp(4 × 0.0397) – 1

= 17.22%

#### September 5, 2023 calculations

Top border of price channel:

Exp(Y_{1,022})

= Exp(a + b × X_{1,022} + 2 × s)

= Exp(a + b × 1,484 + 2 × s)

= Exp(2.0495 + 0.0010 × 1,484 + 2 × 0.0397)

= Exp(3.6627)

= $38.97

Bottom border of price channel:

Exp(Y_{1,022})

= Exp(a + b × X_{1,022} – 2 × s)

= Exp(a + b × 1,484 – 2 × s)

= Exp(2.0495 + 0.0010 × 1,484 – 2 × 0.0397)

= Exp(3.5038)

= $33.24

#### July 24, 2024 calculations

Top border of price channel:

Exp(Y_{1,244})

= Exp(a + b × X_{1,244} + 2 × s)

= Exp(a + b × 1,807 + 2 × s)

= Exp(2.0495 + 0.0010 × 1,807 + 2 × 0.0397)

= Exp(3.9965)

= $54.41

Bottom border of price channel:

Exp(Y_{1,244})

= Exp(a + b × X_{1,244} – 2 × s)

= Exp(a + b × 1,807 – 2 × s)

= Exp(2.0495 + 0.0010 × 1,807 – 2 × 0.0397)

= Exp(3.8377)

= $46.42

#### Description

- The primary trend is increasing.
- The growth rate of the primary trend is 45.83% per annum.
- ROL price at the close of August 12, 2024 was $47.78 and was inside the primary price channel.

### Secondary Trend

Start date: November 30, 2023

End date: August 12, 2024

a = 2.6565

b = 0.0007

s = 0.0285

Annual growth rate:

Exp(365 × b) – 1

= Exp(365 × 0.0007) – 1

= 28.07%

Price channel spread:

Exp(4 × s) – 1

= Exp(4 × 0.0285) – 1

= 12.07%

#### November 30, 2023 calculations

Top border of price channel:

Exp(Y_{1,083})

= Exp(a + b × X_{1,083} + 2 × s)

= Exp(a + b × 1,570 + 2 × s)

= Exp(2.6565 + 0.0007 × 1,570 + 2 × 0.0285)

= Exp(3.7776)

= $43.71

Bottom border of price channel:

Exp(Y_{1,083})

= Exp(a + b × X_{1,083} – 2 × s)

= Exp(a + b × 1,570 – 2 × s)

= Exp(2.6565 + 0.0007 × 1,570 – 2 × 0.0285)

= Exp(3.6637)

= $39.00

#### August 12, 2024 calculations

Top border of price channel:

Exp(Y_{1,257})

= Exp(a + b × X_{1,257} + 2 × s)

= Exp(a + b × 1,826 + 2 × s)

= Exp(2.6565 + 0.0007 × 1,826 + 2 × 0.0285)

= Exp(3.9512)

= $52.00

Bottom border of price channel:

Exp(Y_{1,257})

= Exp(a + b × X_{1,257} – 2 × s)

= Exp(a + b × 1,826 – 2 × s)

= Exp(2.6565 + 0.0007 × 1,826 – 2 × 0.0285)

= Exp(3.8372)

= $46.39

#### Description

- The secondary trend is increasing.
- The growth rate of the secondary trend is 28.07% per annum.
- ROL price at the close of August 12, 2024 was inside the secondary price channel.