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 49.69% per annum.
- CTAS price at the close of April 4, 2025 was $190.33 and was lower than the bottom border of the primary price channel by $35.31 (15.65%). This indicates a possible reversal in the primary trend direction.
- The secondary trend is decreasing.
- The decline rate of the secondary trend is 6.64% per annum.
- CTAS price at the close of April 4, 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: January 5, 2023
End date: December 17, 2024
a = 3.4810
b = 0.0011
s = 0.0390
Annual growth rate:
Exp(365 × b) – 1
= Exp(365 × 0.0011) – 1
= 49.69%
Price channel spread:
Exp(4 × s) – 1
= Exp(4 × 0.0390) – 1
= 16.88%
January 5, 2023 calculations
Top border of price channel:
Exp(Y693)
= Exp(a + b × X693 + 2 × s)
= Exp(a + b × 1,004 + 2 × s)
= Exp(3.4810 + 0.0011 × 1,004 + 2 × 0.0390)
= Exp(4.6686)
= $106.55
Bottom border of price channel:
Exp(Y693)
= Exp(a + b × X693 – 2 × s)
= Exp(a + b × 1,004 – 2 × s)
= Exp(3.4810 + 0.0011 × 1,004 – 2 × 0.0390)
= Exp(4.5127)
= $91.16
December 17, 2024 calculations
Top border of price channel:
Exp(Y1,183)
= Exp(a + b × X1,183 + 2 × s)
= Exp(a + b × 1,716 + 2 × s)
= Exp(3.4810 + 0.0011 × 1,716 + 2 × 0.0390)
= Exp(5.4556)
= $234.06
Bottom border of price channel:
Exp(Y1,183)
= Exp(a + b × X1,183 – 2 × s)
= Exp(a + b × 1,716 – 2 × s)
= Exp(3.4810 + 0.0011 × 1,716 – 2 × 0.0390)
= Exp(5.2996)
= $200.26
Description
- The primary trend is increasing.
- The growth rate of the primary trend is 49.69% per annum.
- CTAS price at the close of April 4, 2025 was $190.33 and was lower than the bottom border of the primary price channel by $35.31 (15.65%). This indicates a possible reversal in the primary trend direction.
Secondary Trend
Start date: August 23, 2024
End date: April 4, 2025
a = 5.6395
b = -0.0002
s = 0.0472
Annual growth rate:
Exp(365 × b) – 1
= Exp(365 × -0.0002) – 1
= -6.64%
Price channel spread:
Exp(4 × s) – 1
= Exp(4 × 0.0472) – 1
= 20.80%
August 23, 2024 calculations
Top border of price channel:
Exp(Y1,103)
= Exp(a + b × X1,103 + 2 × s)
= Exp(a + b × 1,600 + 2 × s)
= Exp(5.6395 + -0.0002 × 1,600 + 2 × 0.0472)
= Exp(5.4326)
= $228.75
Bottom border of price channel:
Exp(Y1,103)
= Exp(a + b × X1,103 – 2 × s)
= Exp(a + b × 1,600 – 2 × s)
= Exp(5.6395 + -0.0002 × 1,600 – 2 × 0.0472)
= Exp(5.2437)
= $189.36
April 4, 2025 calculations
Top border of price channel:
Exp(Y1,256)
= Exp(a + b × X1,256 + 2 × s)
= Exp(a + b × 1,824 + 2 × s)
= Exp(5.6395 + -0.0002 × 1,824 + 2 × 0.0472)
= Exp(5.3904)
= $219.30
Bottom border of price channel:
Exp(Y1,256)
= Exp(a + b × X1,256 – 2 × s)
= Exp(a + b × 1,824 – 2 × s)
= Exp(5.6395 + -0.0002 × 1,824 – 2 × 0.0472)
= Exp(5.2015)
= $181.54
Description
- The secondary trend is decreasing.
- The decline rate of the secondary trend is 6.64% per annum.
- CTAS price at the close of April 4, 2025 was inside the secondary price channel.