General Motors Company (GM)
General Motors Company (GM) is an American multinational corporation headquartered in Detroit, Michigan that designs, manufactures, markets, and distributes vehicles and vehicle parts, and sells financial services, with global headquarters in Detroit's Renaissance Center.
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 26.42% per annum.
- GM price at the close of August 15, 2025 was $56.31 and was inside the primary price channel.
- The secondary trend is decreasing.
- The decline rate of the secondary trend is 5.60% per annum.
- GM price at the close of August 15, 2025 was higher than the top border of the secondary price channel by $0.57 (1.02%). This indicates a possible reversal in the secondary trend direction.
- 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 GM 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: March 13, 2023
End date: August 15, 2025
a = 2.8374
b = 0.0006
s = 0.1039
Annual growth rate:
Exp(365 × b) – 1
= Exp(365 × 0.0006) – 1
= 26.42%
Price channel spread:
Exp(4 × s) – 1
= Exp(4 × 0.1039) – 1
= 51.51%
March 13, 2023 calculations
Top border of price channel:
Exp(Y646)
= Exp(a + b × X646 + 2 × s)
= Exp(a + b × 938 + 2 × s)
= Exp(2.8374 + 0.0006 × 938 + 2 × 0.1039)
= Exp(3.6475)
= $38.38
Bottom border of price channel:
Exp(Y646)
= Exp(a + b × X646 – 2 × s)
= Exp(a + b × 938 – 2 × s)
= Exp(2.8374 + 0.0006 × 938 – 2 × 0.1039)
= Exp(3.2320)
= $25.33
August 15, 2025 calculations
Top border of price channel:
Exp(Y1,255)
= Exp(a + b × X1,255 + 2 × s)
= Exp(a + b × 1,824 + 2 × s)
= Exp(2.8374 + 0.0006 × 1,824 + 2 × 0.1039)
= Exp(4.2166)
= $67.80
Bottom border of price channel:
Exp(Y1,255)
= Exp(a + b × X1,255 – 2 × s)
= Exp(a + b × 1,824 – 2 × s)
= Exp(2.8374 + 0.0006 × 1,824 – 2 × 0.1039)
= Exp(3.8010)
= $44.75
Description
- The primary trend is increasing.
- The growth rate of the primary trend is 26.42% per annum.
- GM price at the close of August 15, 2025 was $56.31 and was inside the primary price channel.
Secondary Trend
Start date: October 16, 2024
End date: August 15, 2025
a = 4.1781
b = -0.0002
s = 0.0652
Annual growth rate:
Exp(365 × b) – 1
= Exp(365 × -0.0002) – 1
= -5.60%
Price channel spread:
Exp(4 × s) – 1
= Exp(4 × 0.0652) – 1
= 29.80%
October 16, 2024 calculations
Top border of price channel:
Exp(Y1,048)
= Exp(a + b × X1,048 + 2 × s)
= Exp(a + b × 1,521 + 2 × s)
= Exp(4.1781 + -0.0002 × 1,521 + 2 × 0.0652)
= Exp(4.0686)
= $58.47
Bottom border of price channel:
Exp(Y1,048)
= Exp(a + b × X1,048 – 2 × s)
= Exp(a + b × 1,521 – 2 × s)
= Exp(4.1781 + -0.0002 × 1,521 – 2 × 0.0652)
= Exp(3.8077)
= $45.05
August 15, 2025 calculations
Top border of price channel:
Exp(Y1,255)
= Exp(a + b × X1,255 + 2 × s)
= Exp(a + b × 1,824 + 2 × s)
= Exp(4.1781 + -0.0002 × 1,824 + 2 × 0.0652)
= Exp(4.0208)
= $55.74
Bottom border of price channel:
Exp(Y1,255)
= Exp(a + b × X1,255 – 2 × s)
= Exp(a + b × 1,824 – 2 × s)
= Exp(4.1781 + -0.0002 × 1,824 – 2 × 0.0652)
= Exp(3.7599)
= $42.95
Description
- The secondary trend is decreasing.
- The decline rate of the secondary trend is 5.60% per annum.
- GM price at the close of August 15, 2025 was higher than the top border of the secondary price channel by $0.57 (1.02%). This indicates a possible reversal in the secondary trend direction.