Cabot Corporation (CBT)
None
Stock Price Trends
Stock price trends estimated using linear regression.
Key facts
- The primary trend is decreasing.
- The decline rate of the primary trend is 50.25% per annum.
- CBT price at the close of April 29, 2025 was $78.72 and was inside the primary price channel.
- The secondary trend is decreasing.
- The decline rate of the secondary trend is 36.14% per annum.
- CBT price at the close of April 29, 2025 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 CBT 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: September 19, 2024
End date: April 29, 2025
a = 7.8223
b = -0.0019
s = 0.0416
Annual growth rate:
Exp(365 × b) – 1
= Exp(365 × -0.0019) – 1
= -50.25%
Price channel spread:
Exp(4 × s) – 1
= Exp(4 × 0.0416) – 1
= 18.09%
September 19, 2024 calculations
Top border of price channel:
Exp(Y1,104)
= Exp(a + b × X1,104 + 2 × s)
= Exp(a + b × 1,603 + 2 × s)
= Exp(7.8223 + -0.0019 × 1,603 + 2 × 0.0416)
= Exp(4.8393)
= $126.38
Bottom border of price channel:
Exp(Y1,104)
= Exp(a + b × X1,104 – 2 × s)
= Exp(a + b × 1,603 – 2 × s)
= Exp(7.8223 + -0.0019 × 1,603 – 2 × 0.0416)
= Exp(4.6730)
= $107.02
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(7.8223 + -0.0019 × 1,825 + 2 × 0.0416)
= Exp(4.4146)
= $82.65
Bottom border of price channel:
Exp(Y1,255)
= Exp(a + b × X1,255 – 2 × s)
= Exp(a + b × 1,825 – 2 × s)
= Exp(7.8223 + -0.0019 × 1,825 – 2 × 0.0416)
= Exp(4.2484)
= $69.99
Description
- The primary trend is decreasing.
- The decline rate of the primary trend is 50.25% per annum.
- CBT price at the close of April 29, 2025 was $78.72 and was inside the primary price channel.
Secondary Trend
Start date: December 19, 2024
End date: April 29, 2025
a = 6.6040
b = -0.0012
s = 0.0208
Annual growth rate:
Exp(365 × b) – 1
= Exp(365 × -0.0012) – 1
= -36.14%
Price channel spread:
Exp(4 × s) – 1
= Exp(4 × 0.0208) – 1
= 8.70%
December 19, 2024 calculations
Top border of price channel:
Exp(Y1,168)
= Exp(a + b × X1,168 + 2 × s)
= Exp(a + b × 1,694 + 2 × s)
= Exp(6.6040 + -0.0012 × 1,694 + 2 × 0.0208)
= Exp(4.5639)
= $95.96
Bottom border of price channel:
Exp(Y1,168)
= Exp(a + b × X1,168 – 2 × s)
= Exp(a + b × 1,694 – 2 × s)
= Exp(6.6040 + -0.0012 × 1,694 – 2 × 0.0208)
= Exp(4.4806)
= $88.28
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(6.6040 + -0.0012 × 1,825 + 2 × 0.0208)
= Exp(4.4030)
= $81.69
Bottom border of price channel:
Exp(Y1,255)
= Exp(a + b × X1,255 – 2 × s)
= Exp(a + b × 1,825 – 2 × s)
= Exp(6.6040 + -0.0012 × 1,825 – 2 × 0.0208)
= Exp(4.3196)
= $75.16
Description
- The secondary trend is decreasing.
- The decline rate of the secondary trend is 36.14% per annum.
- CBT price at the close of April 29, 2025 was inside the secondary price channel.