Rush Enterprises A Inc (RUSHA)
Rush Enterprises, Inc. is an integrated retailer of commercial vehicles and related services in the United States. The company is headquartered in New Braunfels, Texas.
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 12.12% per annum.
- RUSHA price at the close of May 9, 2024 was $46.53 and was inside the primary price channel.
- The secondary trend is increasing.
- The growth rate of the secondary trend is 33.02% per annum.
- RUSHA price at the close of May 9, 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 RUSHA 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: December 4, 2020
End date: December 13, 2023
a = 3.1400
b = 0.0003
s = 0.0717
Annual growth rate:
Exp(365 × b) – 1
= Exp(365 × 0.0003) – 1
= 12.12%
Price channel spread:
Exp(4 × s) – 1
= Exp(4 × 0.0717) – 1
= 33.21%
December 4, 2020 calculations
Top border of price channel:
Exp(Y397)
= Exp(a + b × X397 + 2 × s)
= Exp(a + b × 574 + 2 × s)
= Exp(3.1400 + 0.0003 × 574 + 2 × 0.0717)
= Exp(3.4633)
= $31.92
Bottom border of price channel:
Exp(Y397)
= Exp(a + b × X397 – 2 × s)
= Exp(a + b × 574 – 2 × s)
= Exp(3.1400 + 0.0003 × 574 – 2 × 0.0717)
= Exp(3.1765)
= $23.96
December 13, 2023 calculations
Top border of price channel:
Exp(Y1,157)
= Exp(a + b × X1,157 + 2 × s)
= Exp(a + b × 1,678 + 2 × s)
= Exp(3.1400 + 0.0003 × 1,678 + 2 × 0.0717)
= Exp(3.8094)
= $45.12
Bottom border of price channel:
Exp(Y1,157)
= Exp(a + b × X1,157 – 2 × s)
= Exp(a + b × 1,678 – 2 × s)
= Exp(3.1400 + 0.0003 × 1,678 – 2 × 0.0717)
= Exp(3.5226)
= $33.87
Description
- The primary trend is increasing.
- The growth rate of the primary trend is 12.12% per annum.
- RUSHA price at the close of May 9, 2024 was $46.53 and was inside the primary price channel.
Secondary Trend
Start date: August 26, 2022
End date: April 29, 2024
a = 2.4608
b = 0.0008
s = 0.0572
Annual growth rate:
Exp(365 × b) – 1
= Exp(365 × 0.0008) – 1
= 33.02%
Price channel spread:
Exp(4 × s) – 1
= Exp(4 × 0.0572) – 1
= 25.70%
August 26, 2022 calculations
Top border of price channel:
Exp(Y831)
= Exp(a + b × X831 + 2 × s)
= Exp(a + b × 1,204 + 2 × s)
= Exp(2.4608 + 0.0008 × 1,204 + 2 × 0.0572)
= Exp(3.5164)
= $33.66
Bottom border of price channel:
Exp(Y831)
= Exp(a + b × X831 – 2 × s)
= Exp(a + b × 1,204 – 2 × s)
= Exp(2.4608 + 0.0008 × 1,204 – 2 × 0.0572)
= Exp(3.2877)
= $26.78
April 29, 2024 calculations
Top border of price channel:
Exp(Y1,250)
= Exp(a + b × X1,250 + 2 × s)
= Exp(a + b × 1,816 + 2 × s)
= Exp(2.4608 + 0.0008 × 1,816 + 2 × 0.0572)
= Exp(3.9949)
= $54.32
Bottom border of price channel:
Exp(Y1,250)
= Exp(a + b × X1,250 – 2 × s)
= Exp(a + b × 1,816 – 2 × s)
= Exp(2.4608 + 0.0008 × 1,816 – 2 × 0.0572)
= Exp(3.7662)
= $43.22
Description
- The secondary trend is increasing.
- The growth rate of the secondary trend is 33.02% per annum.
- RUSHA price at the close of May 9, 2024 was inside the secondary price channel.