Microsoft Corporation (MSFT)
Microsoft Corporation is an American multinational technology company which produces computer software, consumer electronics, personal computers, and related services. Its best known software products are the Microsoft Windows line of operating systems, the Microsoft Office suite, and the Internet Explorer and Edge web browsers. Its flagship hardware products are the Xbox video game consoles and the Microsoft Surface lineup of touchscreen personal computers. Microsoft ranked No. 21 in the 2020 Fortune 500 rankings of the largest United States corporations by total revenue; it was the world's largest software maker by revenue as of 2016. It is considered one of the Big Five companies in the U.S. information technology industry, along with Google, Apple, Amazon, and Facebook.
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 48.81% per annum.
- MSFT price at the close of July 26, 2024 was $425.27 and was inside the primary price channel.
- The secondary trend is increasing.
- The growth rate of the secondary trend is 37.82% per annum.
- MSFT price at the close of July 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 MSFT 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 19, 2022
End date: July 23, 2024
a = 4.1660
b = 0.0011
s = 0.0506
Annual growth rate:
Exp(365 × b) – 1
= Exp(365 × 0.0011) – 1
= 48.81%
Price channel spread:
Exp(4 × s) – 1
= Exp(4 × 0.0506) – 1
= 22.44%
September 19, 2022 calculations
Top border of price channel:
Exp(Y792)
= Exp(a + b × X792 + 2 × s)
= Exp(a + b × 1,148 + 2 × s)
= Exp(4.1660 + 0.0011 × 1,148 + 2 × 0.0506)
= Exp(5.5175)
= $249.02
Bottom border of price channel:
Exp(Y792)
= Exp(a + b × X792 – 2 × s)
= Exp(a + b × 1,148 – 2 × s)
= Exp(4.1660 + 0.0011 × 1,148 – 2 × 0.0506)
= Exp(5.3151)
= $203.38
July 23, 2024 calculations
Top border of price channel:
Exp(Y1,254)
= Exp(a + b × X1,254 + 2 × s)
= Exp(a + b × 1,821 + 2 × s)
= Exp(4.1660 + 0.0011 × 1,821 + 2 × 0.0506)
= Exp(6.2505)
= $518.27
Bottom border of price channel:
Exp(Y1,254)
= Exp(a + b × X1,254 – 2 × s)
= Exp(a + b × 1,821 – 2 × s)
= Exp(4.1660 + 0.0011 × 1,821 – 2 × 0.0506)
= Exp(6.0480)
= $423.27
Description
- The primary trend is increasing.
- The growth rate of the primary trend is 48.81% per annum.
- MSFT price at the close of July 26, 2024 was $425.27 and was inside the primary price channel.
Secondary Trend
Start date: April 27, 2023
End date: July 26, 2024
a = 4.5118
b = 0.0009
s = 0.0413
Annual growth rate:
Exp(365 × b) – 1
= Exp(365 × 0.0009) – 1
= 37.82%
Price channel spread:
Exp(4 × s) – 1
= Exp(4 × 0.0413) – 1
= 17.95%
April 27, 2023 calculations
Top border of price channel:
Exp(Y944)
= Exp(a + b × X944 + 2 × s)
= Exp(a + b × 1,368 + 2 × s)
= Exp(4.5118 + 0.0009 × 1,368 + 2 × 0.0413)
= Exp(5.7966)
= $329.17
Bottom border of price channel:
Exp(Y944)
= Exp(a + b × X944 – 2 × s)
= Exp(a + b × 1,368 – 2 × s)
= Exp(4.5118 + 0.0009 × 1,368 – 2 × 0.0413)
= Exp(5.6315)
= $279.07
July 26, 2024 calculations
Top border of price channel:
Exp(Y1,257)
= Exp(a + b × X1,257 + 2 × s)
= Exp(a + b × 1,824 + 2 × s)
= Exp(4.5118 + 0.0009 × 1,824 + 2 × 0.0413)
= Exp(6.1973)
= $491.44
Bottom border of price channel:
Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,824 – 2 × s)
= Exp(4.5118 + 0.0009 × 1,824 – 2 × 0.0413)
= Exp(6.0322)
= $416.63
Description
- The secondary trend is increasing.
- The growth rate of the secondary trend is 37.82% per annum.
- MSFT price at the close of July 26, 2024 was inside the secondary price channel.