Stock Price Trends
Stock price trends estimated using linear regression.
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United Parcel Service Inc. pages available for free this week:
- Common-Size Income Statement
- Analysis of Solvency Ratios
- DuPont Analysis: Disaggregation of ROE, ROA, and Net Profit Margin
- Enterprise Value to FCFF (EV/FCFF)
- Dividend Discount Model (DDM)
- Selected Financial Data since 2005
- Current Ratio since 2005
- Total Asset Turnover since 2005
- Price to Earnings (P/E) since 2005
- Aggregate Accruals
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Summary
Key facts
- The primary trend is decreasing.
- The decline rate of the primary trend is 11.91% per annum.
- UPS price at the close of April 30, 2025 was $95.30 and was lower than the bottom border of the primary price channel by $11.05 (10.39%).
- The secondary trend is decreasing.
- The decline rate of the secondary trend is 17.46% per annum.
- UPS price at the close of April 30, 2025 was lower than the bottom border of the secondary price channel by $5.11 (5.09%).
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 UPS 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
=
October 22, 2021 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()
= $
April 3, 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 primary trend is decreasing.
- The decline rate of the primary trend is 11.91% per annum.
- UPS price at the close of April 30, 2025 was $95.30 and was lower than the bottom border of the primary price channel by $11.05 (10.39%).
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
=
January 31, 2023 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()
= $
April 30, 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 decreasing.
- The decline rate of the secondary trend is 17.46% per annum.
- UPS price at the close of April 30, 2025 was lower than the bottom border of the secondary price channel by $5.11 (5.09%).
- 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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