Amazon.com Inc (AMZN)
Amazon.com, Inc. is an American multinational technology company which focuses on e-commerce, cloud computing, digital streaming, and artificial intelligence. It is one of the Big Five companies in the U.S. information technology industry, along with Google, Apple, Microsoft, and Facebook. The company has been referred to as one of the most influential economic and cultural forces in the world, as well as the world's most valuable brand.
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 69.16% per annum.
- AMZN price at the close of April 26, 2024 was $179.62 and was inside the primary price channel.
- The secondary trend is increasing.
- The growth rate of the secondary trend is 98.99% per annum.
- AMZN 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 AMZN 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: November 18, 2022
End date: April 26, 2024
a = 2.5902
b = 0.0014
s = 0.0545
Annual growth rate:
Exp(365 × b) – 1
= Exp(365 × 0.0014) – 1
= 69.16%
Price channel spread:
Exp(4 × s) – 1
= Exp(4 × 0.0545) – 1
= 24.38%
November 18, 2022 calculations
Top border of price channel:
Exp(Y899)
= Exp(a + b × X899 + 2 × s)
= Exp(a + b × 1,299 + 2 × s)
= Exp(2.5902 + 0.0014 × 1,299 + 2 × 0.0545)
= Exp(4.5700)
= $96.55
Bottom border of price channel:
Exp(Y899)
= Exp(a + b × X899 – 2 × s)
= Exp(a + b × 1,299 – 2 × s)
= Exp(2.5902 + 0.0014 × 1,299 – 2 × 0.0545)
= Exp(4.3519)
= $77.62
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(2.5902 + 0.0014 × 1,824 + 2 × 0.0545)
= Exp(5.3261)
= $205.64
Bottom border of price channel:
Exp(Y1,258)
= Exp(a + b × X1,258 – 2 × s)
= Exp(a + b × 1,824 – 2 × s)
= Exp(2.5902 + 0.0014 × 1,824 – 2 × 0.0545)
= Exp(5.1080)
= $165.33
Description
- The primary trend is increasing.
- The growth rate of the primary trend is 69.16% per annum.
- AMZN price at the close of April 26, 2024 was $179.62 and was inside the primary price channel.
Secondary Trend
Start date: September 26, 2023
End date: April 26, 2024
a = 1.8076
b = 0.0019
s = 0.0308
Annual growth rate:
Exp(365 × b) – 1
= Exp(365 × 0.0019) – 1
= 98.99%
Price channel spread:
Exp(4 × s) – 1
= Exp(4 × 0.0308) – 1
= 13.12%
September 26, 2023 calculations
Top border of price channel:
Exp(Y1,111)
= Exp(a + b × X1,111 + 2 × s)
= Exp(a + b × 1,611 + 2 × s)
= Exp(1.8076 + 0.0019 × 1,611 + 2 × 0.0308)
= Exp(4.9062)
= $135.12
Bottom border of price channel:
Exp(Y1,111)
= Exp(a + b × X1,111 – 2 × s)
= Exp(a + b × 1,611 – 2 × s)
= Exp(1.8076 + 0.0019 × 1,611 – 2 × 0.0308)
= Exp(4.7829)
= $119.45
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(1.8076 + 0.0019 × 1,824 + 2 × 0.0308)
= Exp(5.3077)
= $201.88
Bottom border of price channel:
Exp(Y1,258)
= Exp(a + b × X1,258 – 2 × s)
= Exp(a + b × 1,824 – 2 × s)
= Exp(1.8076 + 0.0019 × 1,824 – 2 × 0.0308)
= Exp(5.1844)
= $178.47
Description
- The secondary trend is increasing.
- The growth rate of the secondary trend is 98.99% per annum.
- AMZN price at the close of April 26, 2024 was inside the secondary price channel.