Stock Price Trends
Stock price trends estimated using linear regression.
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Air Products & Chemicals Inc. pages available for free this week:
- Income Statement
 - Statement of Comprehensive Income
 - Common-Size Income Statement
 - Analysis of Profitability Ratios
 - Analysis of Long-term (Investment) Activity Ratios
 - Dividend Discount Model (DDM)
 - Net Profit Margin since 2005
 - Total Asset Turnover since 2005
 - Price to Operating Profit (P/OP) since 2005
 - Aggregate Accruals
 
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Summary
Key facts
- The primary trend is decreasing.
 - The decline rate of the primary trend is 13.89% per annum.
 - APD price at the close of August 9, 2021 was $275.75 and was higher than the top border of the primary price channel by $4.32 (1.59%). This indicates a possible reversal in the primary trend direction.
 - The secondary trend is increasing.
 - The growth rate of the secondary trend is 16.00% per annum.
 - APD price at the close of August 9, 2021 was lower than the bottom border of the secondary price channel by $1.55 (0.56%). 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 APD 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
                = 
            
July 9, 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()
                = $
March 25, 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()
                = $
Description
- The primary trend is decreasing.
 - The decline rate of the primary trend is 13.89% per annum.
 - APD price at the close of August 9, 2021 was $275.75 and was higher than the top border of the primary price channel by $4.32 (1.59%). 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 12, 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()
                = $
August 6, 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()
                = $
Description
- The secondary trend is increasing.
 - The growth rate of the secondary trend is 16.00% per annum.
 - APD price at the close of August 9, 2021 was lower than the bottom border of the secondary price channel by $1.55 (0.56%). This indicates a possible reversal in the secondary trend direction.
 
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