Garmin Ltd (GRMN)
Garmin Ltd. is an American multinational technology company with headquarters in Olathe, Kansas.
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 50.38% per annum.
- GRMN price at the close of November 20, 2024 was $205.59 and was inside the primary price channel.
- The secondary trend is increasing.
- The growth rate of the secondary trend is 72.54% per annum.
- GRMN price at the close of November 20, 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 GRMN 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: September 15, 2022
End date: November 20, 2024
a = 3.1761
b = 0.0011
s = 0.0665
Annual growth rate:
Exp(365 × b) – 1
= Exp(365 × 0.0011) – 1
= 50.38%
Price channel spread:
Exp(4 × s) – 1
= Exp(4 × 0.0665) – 1
= 30.50%
September 15, 2022 calculations
Top border of price channel:
Exp(Y708)
= Exp(a + b × X708 + 2 × s)
= Exp(a + b × 1,029 + 2 × s)
= Exp(3.1761 + 0.0011 × 1,029 + 2 × 0.0665)
= Exp(4.4594)
= $86.43
Bottom border of price channel:
Exp(Y708)
= Exp(a + b × X708 – 2 × s)
= Exp(a + b × 1,029 – 2 × s)
= Exp(3.1761 + 0.0011 × 1,029 – 2 × 0.0665)
= Exp(4.1932)
= $66.23
November 20, 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(3.1761 + 0.0011 × 1,826 + 2 × 0.0665)
= Exp(5.3502)
= $210.65
Bottom border of price channel:
Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(3.1761 + 0.0011 × 1,826 – 2 × 0.0665)
= Exp(5.0840)
= $161.42
Description
- The primary trend is increasing.
- The growth rate of the primary trend is 50.38% per annum.
- GRMN price at the close of November 20, 2024 was $205.59 and was inside the primary price channel.
Secondary Trend
Start date: August 8, 2023
End date: November 20, 2024
a = 2.5629
b = 0.0015
s = 0.0568
Annual growth rate:
Exp(365 × b) – 1
= Exp(365 × 0.0015) – 1
= 72.54%
Price channel spread:
Exp(4 × s) – 1
= Exp(4 × 0.0568) – 1
= 25.49%
August 8, 2023 calculations
Top border of price channel:
Exp(Y932)
= Exp(a + b × X932 + 2 × s)
= Exp(a + b × 1,356 + 2 × s)
= Exp(2.5629 + 0.0015 × 1,356 + 2 × 0.0568)
= Exp(4.7028)
= $110.25
Bottom border of price channel:
Exp(Y932)
= Exp(a + b × X932 – 2 × s)
= Exp(a + b × 1,356 – 2 × s)
= Exp(2.5629 + 0.0015 × 1,356 – 2 × 0.0568)
= Exp(4.4757)
= $87.86
November 20, 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(2.5629 + 0.0015 × 1,826 + 2 × 0.0568)
= Exp(5.4051)
= $222.54
Bottom border of price channel:
Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(2.5629 + 0.0015 × 1,826 – 2 × 0.0568)
= Exp(5.1781)
= $177.34
Description
- The secondary trend is increasing.
- The growth rate of the secondary trend is 72.54% per annum.
- GRMN price at the close of November 20, 2024 was inside the secondary price channel.