Stock Price Trends
Stock price trends estimated using linear regression.
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- Income Statement
- Statement of Comprehensive Income
- Common-Size Balance Sheet: Liabilities and Stockholders’ Equity
- Analysis of Profitability Ratios
- DuPont Analysis: Disaggregation of ROE, ROA, and Net Profit Margin
- Common Stock Valuation Ratios
- Enterprise Value to FCFF (EV/FCFF)
- Dividend Discount Model (DDM)
- Selected Financial Data since 2005
- Current Ratio since 2005
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Summary
Key facts
- The primary trend is increasing.
- The growth rate of the primary trend is 52.15% per annum.
- CTAS price at the close of January 8, 2025 was $192.28 and was lower than the bottom border of the primary price channel by $17.11 (8.17%). This indicates a possible reversal in the primary trend direction.
- The secondary trend is decreasing.
- The decline rate of the secondary trend is 88.06% per annum.
- CTAS price at the close of January 8, 2025 was higher than the top border of the secondary price channel by $3.85 (2.04%). This indicates a possible reversal in the secondary trend direction.
- The direction of the secondary trend is opposite to the direction of the primary trend. This indicates a possible reversal in the direction of the primary trend.
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 CTAS 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
=
February 21, 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()
= $
December 17, 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 52.15% per annum.
- CTAS price at the close of January 8, 2025 was $192.28 and was lower than the bottom border of the primary price channel by $17.11 (8.17%). This indicates a possible reversal in the primary trend direction.
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
=
November 21, 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()
= $
January 6, 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 88.06% per annum.
- CTAS price at the close of January 8, 2025 was higher than the top border of the secondary price channel by $3.85 (2.04%). This indicates a possible reversal in the secondary trend direction.
Check current CTAS price trends.
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