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 40.14% per annum.
- CTAS price at the close of April 29, 2025 was $209.26 and was inside the primary price channel.
- The secondary trend is decreasing.
- The decline rate of the secondary trend is 4.70% per annum.
- CTAS price at the close of April 29, 2025 was inside the secondary price channel.
- The direction of the secondary trend is opposite to the direction of the primary trend. This indicates a possible reversal in the direction of the primary trend.
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: May 9, 2022
End date: December 18, 2024
a = 3.7649
b = 0.0009
s = 0.0587
Annual growth rate:
Exp(365 × b) – 1
= Exp(365 × 0.0009) – 1
= 40.14%
Price channel spread:
Exp(4 × s) – 1
= Exp(4 × 0.0587) – 1
= 26.47%
May 9, 2022 calculations
Top border of price channel:
Exp(Y510)
= Exp(a + b × X510 + 2 × s)
= Exp(a + b × 739 + 2 × s)
= Exp(3.7649 + 0.0009 × 739 + 2 × 0.0587)
= Exp(4.5655)
= $96.11
Bottom border of price channel:
Exp(Y510)
= Exp(a + b × X510 – 2 × s)
= Exp(a + b × 739 – 2 × s)
= Exp(3.7649 + 0.0009 × 739 – 2 × 0.0587)
= Exp(4.3307)
= $76.00
December 18, 2024 calculations
Top border of price channel:
Exp(Y1,167)
= Exp(a + b × X1,167 + 2 × s)
= Exp(a + b × 1,693 + 2 × s)
= Exp(3.7649 + 0.0009 × 1,693 + 2 × 0.0587)
= Exp(5.4476)
= $232.19
Bottom border of price channel:
Exp(Y1,167)
= Exp(a + b × X1,167 – 2 × s)
= Exp(a + b × 1,693 – 2 × s)
= Exp(3.7649 + 0.0009 × 1,693 – 2 × 0.0587)
= Exp(5.2128)
= $183.60
Description
- The primary trend is increasing.
- The growth rate of the primary trend is 40.14% per annum.
- CTAS price at the close of April 29, 2025 was $209.26 and was inside the primary price channel.
Secondary Trend
Start date: August 23, 2024
End date: April 29, 2025
a = 5.5414
b = -0.0001
s = 0.0464
Annual growth rate:
Exp(365 × b) – 1
= Exp(365 × -0.0001) – 1
= -4.70%
Price channel spread:
Exp(4 × s) – 1
= Exp(4 × 0.0464) – 1
= 20.38%
August 23, 2024 calculations
Top border of price channel:
Exp(Y1,086)
= Exp(a + b × X1,086 + 2 × s)
= Exp(a + b × 1,576 + 2 × s)
= Exp(5.5414 + -0.0001 × 1,576 + 2 × 0.0464)
= Exp(5.4264)
= $227.32
Bottom border of price channel:
Exp(Y1,086)
= Exp(a + b × X1,086 – 2 × s)
= Exp(a + b × 1,576 – 2 × s)
= Exp(5.5414 + -0.0001 × 1,576 – 2 × 0.0464)
= Exp(5.2409)
= $188.83
April 29, 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(5.5414 + -0.0001 × 1,825 + 2 × 0.0464)
= Exp(5.3935)
= $219.98
Bottom border of price channel:
Exp(Y1,255)
= Exp(a + b × X1,255 – 2 × s)
= Exp(a + b × 1,825 – 2 × s)
= Exp(5.5414 + -0.0001 × 1,825 – 2 × 0.0464)
= Exp(5.2080)
= $182.73
Description
- The secondary trend is decreasing.
- The decline rate of the secondary trend is 4.70% per annum.
- CTAS price at the close of April 29, 2025 was inside the secondary price channel.