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 41.59% per annum.
- PNC price at the close of April 29, 2025 was $160.60 and was lower than the bottom border of the primary price channel by $29.12 (15.35%). This indicates a possible reversal in the primary trend direction.
- The secondary trend is decreasing.
- The decline rate of the secondary trend is 45.02% per annum.
- PNC price at the close of April 29, 2025 was inside the secondary price channel.
- 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 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: March 15, 2023
End date: March 3, 2025
a = 3.6315
b = 0.0010
s = 0.0624
Annual growth rate:
Exp(365 × b) – 1
= Exp(365 × 0.0010) – 1
= 41.59%
Price channel spread:
Exp(4 × s) – 1
= Exp(4 × 0.0624) – 1
= 28.36%
March 15, 2023 calculations
Top border of price channel:
Exp(Y723)
= Exp(a + b × X723 + 2 × s)
= Exp(a + b × 1,049 + 2 × s)
= Exp(3.6315 + 0.0010 × 1,049 + 2 × 0.0624)
= Exp(4.7558)
= $116.26
Bottom border of price channel:
Exp(Y723)
= Exp(a + b × X723 – 2 × s)
= Exp(a + b × 1,049 – 2 × s)
= Exp(3.6315 + 0.0010 × 1,049 – 2 × 0.0624)
= Exp(4.5062)
= $90.58
March 3, 2025 calculations
Top border of price channel:
Exp(Y1,215)
= Exp(a + b × X1,215 + 2 × s)
= Exp(a + b × 1,768 + 2 × s)
= Exp(3.6315 + 0.0010 × 1,768 + 2 × 0.0624)
= Exp(5.4409)
= $230.65
Bottom border of price channel:
Exp(Y1,215)
= Exp(a + b × X1,215 – 2 × s)
= Exp(a + b × 1,768 – 2 × s)
= Exp(3.6315 + 0.0010 × 1,768 – 2 × 0.0624)
= Exp(5.1913)
= $179.69
Description
- The primary trend is increasing.
- The growth rate of the primary trend is 41.59% per annum.
- PNC price at the close of April 29, 2025 was $160.60 and was lower than the bottom border of the primary price channel by $29.12 (15.35%). This indicates a possible reversal in the primary trend direction.
Secondary Trend
Start date: November 6, 2024
End date: April 29, 2025
a = 8.0692
b = -0.0016
s = 0.0468
Annual growth rate:
Exp(365 × b) – 1
= Exp(365 × -0.0016) – 1
= -45.02%
Price channel spread:
Exp(4 × s) – 1
= Exp(4 × 0.0468) – 1
= 20.61%
November 6, 2024 calculations
Top border of price channel:
Exp(Y1,138)
= Exp(a + b × X1,138 + 2 × s)
= Exp(a + b × 1,651 + 2 × s)
= Exp(8.0692 + -0.0016 × 1,651 + 2 × 0.0468)
= Exp(5.4573)
= $234.46
Bottom border of price channel:
Exp(Y1,138)
= Exp(a + b × X1,138 – 2 × s)
= Exp(a + b × 1,651 – 2 × s)
= Exp(8.0692 + -0.0016 × 1,651 – 2 × 0.0468)
= Exp(5.2699)
= $194.39
April 29, 2025 calculations
Top border of price channel:
Exp(Y1,255)
= Exp(a + b × X1,255 + 2 × s)
= Exp(a + b × 1,825 + 2 × s)
= Exp(8.0692 + -0.0016 × 1,825 + 2 × 0.0468)
= Exp(5.1721)
= $176.29
Bottom border of price channel:
Exp(Y1,255)
= Exp(a + b × X1,255 – 2 × s)
= Exp(a + b × 1,825 – 2 × s)
= Exp(8.0692 + -0.0016 × 1,825 – 2 × 0.0468)
= Exp(4.9847)
= $146.17
Description
- The secondary trend is decreasing.
- The decline rate of the secondary trend is 45.02% per annum.
- PNC price at the close of April 29, 2025 was inside the secondary price channel.