Cintas Corporation (CTAS)
Cintas Corporation is an American corporation headquartered in Cincinnati, Ohio, which provides a range of products and services to businesses including uniforms, mats, mops, cleaning and restroom supplies, first aid and safety products, fire extinguishers and testing, and safety courses.
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 61.53% per annum.
- CTAS price at the close of November 19, 2024 was $217.97 and was inside the primary price channel.
- The secondary trend is increasing.
- The growth rate of the secondary trend is 74.65% per annum.
- CTAS price at the close of November 19, 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 CTAS 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: August 4, 2023
End date: November 19, 2024
a = 2.9868
b = 0.0013
s = 0.0245
Annual growth rate:
Exp(365 × b) – 1
= Exp(365 × 0.0013) – 1
= 61.53%
Price channel spread:
Exp(4 × s) – 1
= Exp(4 × 0.0245) – 1
= 10.29%
August 4, 2023 calculations
Top border of price channel:
Exp(Y931)
= Exp(a + b × X931 + 2 × s)
= Exp(a + b × 1,353 + 2 × s)
= Exp(2.9868 + 0.0013 × 1,353 + 2 × 0.0245)
= Exp(4.8132)
= $123.12
Bottom border of price channel:
Exp(Y931)
= Exp(a + b × X931 – 2 × s)
= Exp(a + b × 1,353 – 2 × s)
= Exp(2.9868 + 0.0013 × 1,353 – 2 × 0.0245)
= Exp(4.7153)
= $111.64
November 19, 2024 calculations
Top border of price channel:
Exp(Y1,257)
= Exp(a + b × X1,257 + 2 × s)
= Exp(a + b × 1,826 + 2 × s)
= Exp(2.9868 + 0.0013 × 1,826 + 2 × 0.0245)
= Exp(5.4346)
= $229.20
Bottom border of price channel:
Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(2.9868 + 0.0013 × 1,826 – 2 × 0.0245)
= Exp(5.3367)
= $207.82
Description
- The primary trend is increasing.
- The growth rate of the primary trend is 61.53% per annum.
- CTAS price at the close of November 19, 2024 was $217.97 and was inside the primary price channel.
Secondary Trend
Start date: May 24, 2024
End date: November 19, 2024
a = 2.6092
b = 0.0015
s = 0.0185
Annual growth rate:
Exp(365 × b) – 1
= Exp(365 × 0.0015) – 1
= 74.65%
Price channel spread:
Exp(4 × s) – 1
= Exp(4 × 0.0185) – 1
= 7.69%
May 24, 2024 calculations
Top border of price channel:
Exp(Y1,134)
= Exp(a + b × X1,134 + 2 × s)
= Exp(a + b × 1,647 + 2 × s)
= Exp(2.6092 + 0.0015 × 1,647 + 2 × 0.0185)
= Exp(5.1624)
= $174.58
Bottom border of price channel:
Exp(Y1,134)
= Exp(a + b × X1,134 – 2 × s)
= Exp(a + b × 1,647 – 2 × s)
= Exp(2.6092 + 0.0015 × 1,647 – 2 × 0.0185)
= Exp(5.0883)
= $162.12
November 19, 2024 calculations
Top border of price channel:
Exp(Y1,257)
= Exp(a + b × X1,257 + 2 × s)
= Exp(a + b × 1,826 + 2 × s)
= Exp(2.6092 + 0.0015 × 1,826 + 2 × 0.0185)
= Exp(5.4359)
= $229.49
Bottom border of price channel:
Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(2.6092 + 0.0015 × 1,826 – 2 × 0.0185)
= Exp(5.3618)
= $213.11
Description
- The secondary trend is increasing.
- The growth rate of the secondary trend is 74.65% per annum.
- CTAS price at the close of November 19, 2024 was inside the secondary price channel.