Stock Price Trends
Stock price trends estimated using linear regression.
Summary
Key facts
- The primary trend is increasing.
- The growth rate of the primary trend is 95.52% per annum.
- GE price at the close of April 26, 2024 was $162.35 and was inside the primary price channel.
- The secondary trend is increasing.
- The growth rate of the secondary trend is 476.40% per annum.
- GE price at the close of April 26, 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 GE 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: June 10, 2022
End date: April 26, 2024
a = 1.5786
b = 0.0018
s = 0.0896
Annual growth rate:
Exp(365 × b) – 1
= Exp(365 × 0.0018) – 1
= 95.52%
Price channel spread:
Exp(4 × s) – 1
= Exp(4 × 0.0896) – 1
= 43.08%
June 10, 2022 calculations
Top border of price channel:
Exp(Y787)
= Exp(a + b × X787 + 2 × s)
= Exp(a + b × 1,138 + 2 × s)
= Exp(1.5786 + 0.0018 × 1,138 + 2 × 0.0896)
= Exp(3.8481)
= $46.90
Bottom border of price channel:
Exp(Y787)
= Exp(a + b × X787 – 2 × s)
= Exp(a + b × 1,138 – 2 × s)
= Exp(1.5786 + 0.0018 × 1,138 – 2 × 0.0896)
= Exp(3.4899)
= $32.78
April 26, 2024 calculations
Top border of price channel:
Exp(Y1,258)
= Exp(a + b × X1,258 + 2 × s)
= Exp(a + b × 1,824 + 2 × s)
= Exp(1.5786 + 0.0018 × 1,824 + 2 × 0.0896)
= Exp(5.1082)
= $165.37
Bottom border of price channel:
Exp(Y1,258)
= Exp(a + b × X1,258 – 2 × s)
= Exp(a + b × 1,824 – 2 × s)
= Exp(1.5786 + 0.0018 × 1,824 – 2 × 0.0896)
= Exp(4.7500)
= $115.59
Description
- The primary trend is increasing.
- The growth rate of the primary trend is 95.52% per annum.
- GE price at the close of April 26, 2024 was $162.35 and was inside the primary price channel.
Secondary Trend
Start date: January 16, 2024
End date: April 26, 2024
a = -3.6581
b = 0.0048
s = 0.0222
Annual growth rate:
Exp(365 × b) – 1
= Exp(365 × 0.0048) – 1
= 476.40%
Price channel spread:
Exp(4 × s) – 1
= Exp(4 × 0.0222) – 1
= 9.27%
January 16, 2024 calculations
Top border of price channel:
Exp(Y1,187)
= Exp(a + b × X1,187 + 2 × s)
= Exp(a + b × 1,723 + 2 × s)
= Exp(-3.6581 + 0.0048 × 1,723 + 2 × 0.0222)
= Exp(4.6549)
= $105.10
Bottom border of price channel:
Exp(Y1,187)
= Exp(a + b × X1,187 – 2 × s)
= Exp(a + b × 1,723 – 2 × s)
= Exp(-3.6581 + 0.0048 × 1,723 – 2 × 0.0222)
= Exp(4.5662)
= $96.18
April 26, 2024 calculations
Top border of price channel:
Exp(Y1,258)
= Exp(a + b × X1,258 + 2 × s)
= Exp(a + b × 1,824 + 2 × s)
= Exp(-3.6581 + 0.0048 × 1,824 + 2 × 0.0222)
= Exp(5.1396)
= $170.64
Bottom border of price channel:
Exp(Y1,258)
= Exp(a + b × X1,258 – 2 × s)
= Exp(a + b × 1,824 – 2 × s)
= Exp(-3.6581 + 0.0048 × 1,824 – 2 × 0.0222)
= Exp(5.0509)
= $156.16
Description
- The secondary trend is increasing.
- The growth rate of the secondary trend is 476.40% per annum.
- GE price at the close of April 26, 2024 was inside the secondary price channel.
- Discover a new approach to trend analysis.
- Check the power of mathematical statistics.
- Price channels have never been so accurately estimated.
Check out GE and 1,499 other stocks on our new website