PNC Financial Services Group Inc (PNC)
PNC Financial Services Group, Inc. (stylized as PNC) is a bank holding company and financial services corporation based in Pittsburgh, Pennsylvania. Its banking subsidiary, PNC Bank, operates in 21 states and the District of Columbia with 2,296 branches and 9,051 ATMs. The company also provides financial services such as asset management, wealth management, estate planning, loan servicing, and information processing.
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 45.30% per annum.
- PNC price at the close of November 19, 2024 was $204.86 and was inside the primary price channel.
- The secondary trend is increasing.
- The growth rate of the secondary trend is 84.03% per annum.
- PNC price at the close of November 19, 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 PNC 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: November 19, 2024
a = 3.3779
b = 0.0010
s = 0.0588
Annual growth rate:
Exp(365 × b) – 1
= Exp(365 × 0.0010) – 1
= 45.30%
Price channel spread:
Exp(4 × s) – 1
= Exp(4 × 0.0588) – 1
= 26.50%
May 1, 2023 calculations
Top border of price channel:
Exp(Y865)
= Exp(a + b × X865 + 2 × s)
= Exp(a + b × 1,258 + 2 × s)
= Exp(3.3779 + 0.0010 × 1,258 + 2 × 0.0588)
= Exp(4.7831)
= $119.48
Bottom border of price channel:
Exp(Y865)
= Exp(a + b × X865 – 2 × s)
= Exp(a + b × 1,258 – 2 × s)
= Exp(3.3779 + 0.0010 × 1,258 – 2 × 0.0588)
= Exp(4.5480)
= $94.45
November 19, 2024 calculations
Top border of price channel:
Exp(Y1,257)
= Exp(a + b × X1,257 + 2 × s)
= Exp(a + b × 1,826 + 2 × s)
= Exp(3.3779 + 0.0010 × 1,826 + 2 × 0.0588)
= Exp(5.3646)
= $213.70
Bottom border of price channel:
Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(3.3779 + 0.0010 × 1,826 – 2 × 0.0588)
= Exp(5.1294)
= $168.92
Description
- The primary trend is increasing.
- The growth rate of the primary trend is 45.30% per annum.
- PNC price at the close of November 19, 2024 was $204.86 and was inside the primary price channel.
Secondary Trend
Start date: May 23, 2024
End date: November 19, 2024
a = 2.2524
b = 0.0017
s = 0.0351
Annual growth rate:
Exp(365 × b) – 1
= Exp(365 × 0.0017) – 1
= 84.03%
Price channel spread:
Exp(4 × s) – 1
= Exp(4 × 0.0351) – 1
= 15.07%
May 23, 2024 calculations
Top border of price channel:
Exp(Y1,133)
= Exp(a + b × X1,133 + 2 × s)
= Exp(a + b × 1,646 + 2 × s)
= Exp(2.2524 + 0.0017 × 1,646 + 2 × 0.0351)
= Exp(5.0732)
= $159.68
Bottom border of price channel:
Exp(Y1,133)
= Exp(a + b × X1,133 – 2 × s)
= Exp(a + b × 1,646 – 2 × s)
= Exp(2.2524 + 0.0017 × 1,646 – 2 × 0.0351)
= Exp(4.9328)
= $138.77
November 19, 2024 calculations
Top border of price channel:
Exp(Y1,257)
= Exp(a + b × X1,257 + 2 × s)
= Exp(a + b × 1,826 + 2 × s)
= Exp(2.2524 + 0.0017 × 1,826 + 2 × 0.0351)
= Exp(5.3740)
= $215.72
Bottom border of price channel:
Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(2.2524 + 0.0017 × 1,826 – 2 × 0.0351)
= Exp(5.2336)
= $187.47
Description
- The secondary trend is increasing.
- The growth rate of the secondary trend is 84.03% per annum.
- PNC price at the close of November 19, 2024 was inside the secondary price channel.