Stock Price Trends
Stock price trends estimated using linear regression.
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- Statement of Comprehensive Income
- Balance Sheet: Assets
- Balance Sheet: Liabilities and Stockholders’ Equity
- Common-Size Balance Sheet: Liabilities and Stockholders’ Equity
- Analysis of Solvency Ratios
- DuPont Analysis: Disaggregation of ROE, ROA, and Net Profit Margin
- Enterprise Value to EBITDA (EV/EBITDA)
- Capital Asset Pricing Model (CAPM)
- Selected Financial Data since 2005
- Price to Sales (P/S) since 2005
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Summary
Key facts
- The primary trend is increasing.
- The growth rate of the primary trend is 11.28% per annum.
- AAPL price at the close of April 1, 2025 was $223.19 and was inside the primary price channel.
- The secondary trend is increasing.
- The growth rate of the secondary trend is 25.56% per annum.
- AAPL price at the close of April 1, 2025 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 AAPL 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:
End date:
a =
b =
s =
Annual growth rate:
Exp(365 × b) – 1
= Exp(365 × ) – 1
=
Price channel spread:
Exp(4 × s) – 1
= Exp(4 × ) – 1
=
December 1, 2020 calculations
Top border of price channel:
Exp(Y)
= Exp(a + b × X + 2 × s)
= Exp(a + b × + 2 × s)
= Exp( + × + 2 × )
= Exp()
= $
Bottom border of price channel:
Exp(Y)
= Exp(a + b × X – 2 × s)
= Exp(a + b × – 2 × s)
= Exp( + × – 2 × )
= Exp()
= $
June 10, 2024 calculations
Top border of price channel:
Exp(Y)
= Exp(a + b × X + 2 × s)
= Exp(a + b × + 2 × s)
= Exp( + × + 2 × )
= Exp()
= $
Bottom border of price channel:
Exp(Y)
= Exp(a + b × X – 2 × s)
= Exp(a + b × – 2 × s)
= Exp( + × – 2 × )
= Exp()
= $
Description
- The primary trend is increasing.
- The growth rate of the primary trend is 11.28% per annum.
- AAPL price at the close of April 1, 2025 was $223.19 and was inside the primary price channel.
Secondary Trend
Start date:
End date:
a =
b =
s =
Annual growth rate:
Exp(365 × b) – 1
= Exp(365 × ) – 1
=
Price channel spread:
Exp(4 × s) – 1
= Exp(4 × ) – 1
=
September 23, 2022 calculations
Top border of price channel:
Exp(Y)
= Exp(a + b × X + 2 × s)
= Exp(a + b × + 2 × s)
= Exp( + × + 2 × )
= Exp()
= $
Bottom border of price channel:
Exp(Y)
= Exp(a + b × X – 2 × s)
= Exp(a + b × – 2 × s)
= Exp( + × – 2 × )
= Exp()
= $
March 10, 2025 calculations
Top border of price channel:
Exp(Y)
= Exp(a + b × X + 2 × s)
= Exp(a + b × + 2 × s)
= Exp( + × + 2 × )
= Exp()
= $
Bottom border of price channel:
Exp(Y)
= Exp(a + b × X – 2 × s)
= Exp(a + b × – 2 × s)
= Exp( + × – 2 × )
= Exp()
= $
Description
- The secondary trend is increasing.
- The growth rate of the secondary trend is 25.56% per annum.
- AAPL price at the close of April 1, 2025 was inside the secondary price channel.
- Discover a new approach to trend analysis.
- Check the power of mathematical statistics.
- Price channels have never been so accurately estimated.
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