Pitney Bowes Inc (PBI)
Pitney Bowes Inc., a technology company, offers business solutions in the United States and internationally. The company is headquartered in Stamford, Connecticut.
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 65.93% per annum.
- PBI price at the close of July 26, 2024 was $6.74 and was higher than the top border of the primary price channel by $0.12 (1.79%).
- The secondary trend is increasing.
- The growth rate of the secondary trend is 264.52% per annum.
- PBI 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 PBI 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: May 1, 2023
End date: July 26, 2024
a = -0.8492
b = 0.0014
s = 0.1044
Annual growth rate:
Exp(365 × b) – 1
= Exp(365 × 0.0014) – 1
= 65.93%
Price channel spread:
Exp(4 × s) – 1
= Exp(4 × 0.1044) – 1
= 51.82%
May 1, 2023 calculations
Top border of price channel:
Exp(Y946)
= Exp(a + b × X946 + 2 × s)
= Exp(a + b × 1,372 + 2 × s)
= Exp(-0.8492 + 0.0014 × 1,372 + 2 × 0.1044)
= Exp(1.2632)
= $3.54
Bottom border of price channel:
Exp(Y946)
= Exp(a + b × X946 – 2 × s)
= Exp(a + b × 1,372 – 2 × s)
= Exp(-0.8492 + 0.0014 × 1,372 – 2 × 0.1044)
= Exp(0.8456)
= $2.33
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(-0.8492 + 0.0014 × 1,824 + 2 × 0.1044)
= Exp(1.8903)
= $6.62
Bottom border of price channel:
Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,824 – 2 × s)
= Exp(-0.8492 + 0.0014 × 1,824 – 2 × 0.1044)
= Exp(1.4727)
= $4.36
Description
- The primary trend is increasing.
- The growth rate of the primary trend is 65.93% per annum.
- PBI price at the close of July 26, 2024 was $6.74 and was higher than the top border of the primary price channel by $0.12 (1.79%).
Secondary Trend
Start date: February 20, 2024
End date: July 26, 2024
a = -4.6137
b = 0.0035
s = 0.0819
Annual growth rate:
Exp(365 × b) – 1
= Exp(365 × 0.0035) – 1
= 264.52%
Price channel spread:
Exp(4 × s) – 1
= Exp(4 × 0.0819) – 1
= 38.75%
February 20, 2024 calculations
Top border of price channel:
Exp(Y1,148)
= Exp(a + b × X1,148 + 2 × s)
= Exp(a + b × 1,667 + 2 × s)
= Exp(-4.6137 + 0.0035 × 1,667 + 2 × 0.0819)
= Exp(1.4571)
= $4.29
Bottom border of price channel:
Exp(Y1,148)
= Exp(a + b × X1,148 – 2 × s)
= Exp(a + b × 1,667 – 2 × s)
= Exp(-4.6137 + 0.0035 × 1,667 – 2 × 0.0819)
= Exp(1.1296)
= $3.09
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(-4.6137 + 0.0035 × 1,824 + 2 × 0.0819)
= Exp(2.0135)
= $7.49
Bottom border of price channel:
Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,824 – 2 × s)
= Exp(-4.6137 + 0.0035 × 1,824 – 2 × 0.0819)
= Exp(1.6860)
= $5.40
Description
- The secondary trend is increasing.
- The growth rate of the secondary trend is 264.52% per annum.
- PBI price at the close of July 26, 2024 was inside the secondary price channel.