Duke Energy Corporation (DUK)
Duke Energy Corporation is an American electric power and natural gas holding company headquartered in Charlotte, North Carolina.
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 23.69% per annum.
- DUK price at the close of April 3, 2025 was $124.05 and was inside the primary price channel.
- The secondary trend is increasing.
- The growth rate of the secondary trend is 74.99% per annum.
- DUK price at the close of April 3, 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 DUK 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 24, 2023
End date: April 3, 2025
a = 3.7175
b = 0.0006
s = 0.0416
Annual growth rate:
Exp(365 × b) – 1
= Exp(365 × 0.0006) – 1
= 23.69%
Price channel spread:
Exp(4 × s) – 1
= Exp(4 × 0.0416) – 1
= 18.10%
May 24, 2023 calculations
Top border of price channel:
Exp(Y789)
= Exp(a + b × X789 + 2 × s)
= Exp(a + b × 1,143 + 2 × s)
= Exp(3.7175 + 0.0006 × 1,143 + 2 × 0.0416)
= Exp(4.4664)
= $87.04
Bottom border of price channel:
Exp(Y789)
= Exp(a + b × X789 – 2 × s)
= Exp(a + b × 1,143 – 2 × s)
= Exp(3.7175 + 0.0006 × 1,143 – 2 × 0.0416)
= Exp(4.3000)
= $73.70
April 3, 2025 calculations
Top border of price channel:
Exp(Y1,255)
= Exp(a + b × X1,255 + 2 × s)
= Exp(a + b × 1,823 + 2 × s)
= Exp(3.7175 + 0.0006 × 1,823 + 2 × 0.0416)
= Exp(4.8624)
= $129.34
Bottom border of price channel:
Exp(Y1,255)
= Exp(a + b × X1,255 – 2 × s)
= Exp(a + b × 1,823 – 2 × s)
= Exp(3.7175 + 0.0006 × 1,823 – 2 × 0.0416)
= Exp(4.6961)
= $109.51
Description
- The primary trend is increasing.
- The growth rate of the primary trend is 23.69% per annum.
- DUK price at the close of April 3, 2025 was $124.05 and was inside the primary price channel.
Secondary Trend
Start date: December 30, 2024
End date: April 3, 2025
a = 2.0076
b = 0.0015
s = 0.0143
Annual growth rate:
Exp(365 × b) – 1
= Exp(365 × 0.0015) – 1
= 74.99%
Price channel spread:
Exp(4 × s) – 1
= Exp(4 × 0.0143) – 1
= 5.90%
December 30, 2024 calculations
Top border of price channel:
Exp(Y1,191)
= Exp(a + b × X1,191 + 2 × s)
= Exp(a + b × 1,729 + 2 × s)
= Exp(2.0076 + 0.0015 × 1,729 + 2 × 0.0143)
= Exp(4.6867)
= $108.50
Bottom border of price channel:
Exp(Y1,191)
= Exp(a + b × X1,191 – 2 × s)
= Exp(a + b × 1,729 – 2 × s)
= Exp(2.0076 + 0.0015 × 1,729 – 2 × 0.0143)
= Exp(4.6294)
= $102.45
April 3, 2025 calculations
Top border of price channel:
Exp(Y1,255)
= Exp(a + b × X1,255 + 2 × s)
= Exp(a + b × 1,823 + 2 × s)
= Exp(2.0076 + 0.0015 × 1,823 + 2 × 0.0143)
= Exp(4.8308)
= $125.32
Bottom border of price channel:
Exp(Y1,255)
= Exp(a + b × X1,255 – 2 × s)
= Exp(a + b × 1,823 – 2 × s)
= Exp(2.0076 + 0.0015 × 1,823 – 2 × 0.0143)
= Exp(4.7735)
= $118.33
Description
- The secondary trend is increasing.
- The growth rate of the secondary trend is 74.99% per annum.
- DUK price at the close of April 3, 2025 was inside the secondary price channel.