Grand Canyon Education Inc (LOPE)
Grand Canyon Education, Inc. provides educational services to colleges and universities in the United States. The company is headquartered in Phoenix, Arizona.
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 23.57% per annum.
- LOPE price at the close of December 2, 2024 was $167.09 and was inside the primary price channel.
- The secondary trend is increasing.
- The growth rate of the secondary trend is 759.54% per annum.
- LOPE price at the close of December 2, 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 LOPE 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: October 29, 2021
End date: December 2, 2024
a = 3.9767
b = 0.0006
s = 0.0741
Annual growth rate:
Exp(365 × b) – 1
= Exp(365 × 0.0006) – 1
= 23.57%
Price channel spread:
Exp(4 × s) – 1
= Exp(4 × 0.0741) – 1
= 34.51%
October 29, 2021 calculations
Top border of price channel:
Exp(Y481)
= Exp(a + b × X481 + 2 × s)
= Exp(a + b × 696 + 2 × s)
= Exp(3.9767 + 0.0006 × 696 + 2 × 0.0741)
= Exp(4.5285)
= $92.62
Bottom border of price channel:
Exp(Y481)
= Exp(a + b × X481 – 2 × s)
= Exp(a + b × 696 – 2 × s)
= Exp(3.9767 + 0.0006 × 696 – 2 × 0.0741)
= Exp(4.2321)
= $68.86
December 2, 2024 calculations
Top border of price channel:
Exp(Y1,257)
= Exp(a + b × X1,257 + 2 × s)
= Exp(a + b × 1,826 + 2 × s)
= Exp(3.9767 + 0.0006 × 1,826 + 2 × 0.0741)
= Exp(5.1838)
= $178.36
Bottom border of price channel:
Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(3.9767 + 0.0006 × 1,826 – 2 × 0.0741)
= Exp(4.8873)
= $132.60
Description
- The primary trend is increasing.
- The growth rate of the primary trend is 23.57% per annum.
- LOPE price at the close of December 2, 2024 was $167.09 and was inside the primary price channel.
Secondary Trend
Start date: October 9, 2024
End date: December 2, 2024
a = -5.5983
b = 0.0059
s = 0.0521
Annual growth rate:
Exp(365 × b) – 1
= Exp(365 × 0.0059) – 1
= 759.54%
Price channel spread:
Exp(4 × s) – 1
= Exp(4 × 0.0521) – 1
= 23.16%
October 9, 2024 calculations
Top border of price channel:
Exp(Y1,220)
= Exp(a + b × X1,220 + 2 × s)
= Exp(a + b × 1,772 + 2 × s)
= Exp(-5.5983 + 0.0059 × 1,772 + 2 × 0.0521)
= Exp(4.9496)
= $141.12
Bottom border of price channel:
Exp(Y1,220)
= Exp(a + b × X1,220 – 2 × s)
= Exp(a + b × 1,772 – 2 × s)
= Exp(-5.5983 + 0.0059 × 1,772 – 2 × 0.0521)
= Exp(4.7413)
= $114.58
December 2, 2024 calculations
Top border of price channel:
Exp(Y1,257)
= Exp(a + b × X1,257 + 2 × s)
= Exp(a + b × 1,826 + 2 × s)
= Exp(-5.5983 + 0.0059 × 1,826 + 2 × 0.0521)
= Exp(5.2679)
= $194.00
Bottom border of price channel:
Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(-5.5983 + 0.0059 × 1,826 – 2 × 0.0521)
= Exp(5.0595)
= $157.52
Description
- The secondary trend is increasing.
- The growth rate of the secondary trend is 759.54% per annum.
- LOPE price at the close of December 2, 2024 was inside the secondary price channel.