Park National Corporation (PRK)
Park National Corporation is the bank holding company for Park National Bank providing commercial banking and trust services in small and medium population areas. The company is headquartered in Newark, Ohio.
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 67.68% per annum.
- PRK price at the close of July 26, 2024 was $185.61 and was higher than the top border of the primary price channel by $6.88 (3.85%).
- The secondary trend is increasing.
- The growth rate of the secondary trend is 16,146.62% per annum.
- PRK 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 PRK 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: August 14, 2023
End date: July 26, 2024
a = 2.4630
b = 0.0014
s = 0.0699
Annual growth rate:
Exp(365 × b) – 1
= Exp(365 × 0.0014) – 1
= 67.68%
Price channel spread:
Exp(4 × s) – 1
= Exp(4 × 0.0699) – 1
= 32.25%
August 14, 2023 calculations
Top border of price channel:
Exp(Y1,018)
= Exp(a + b × X1,018 + 2 × s)
= Exp(a + b × 1,477 + 2 × s)
= Exp(2.4630 + 0.0014 × 1,477 + 2 × 0.0699)
= Exp(4.6945)
= $109.34
Bottom border of price channel:
Exp(Y1,018)
= Exp(a + b × X1,018 – 2 × s)
= Exp(a + b × 1,477 – 2 × s)
= Exp(2.4630 + 0.0014 × 1,477 – 2 × 0.0699)
= Exp(4.4149)
= $82.67
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(2.4630 + 0.0014 × 1,824 + 2 × 0.0699)
= Exp(5.1859)
= $178.73
Bottom border of price channel:
Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,824 – 2 × s)
= Exp(2.4630 + 0.0014 × 1,824 – 2 × 0.0699)
= Exp(4.9063)
= $135.14
Description
- The primary trend is increasing.
- The growth rate of the primary trend is 67.68% per annum.
- PRK price at the close of July 26, 2024 was $185.61 and was higher than the top border of the primary price channel by $6.88 (3.85%).
Secondary Trend
Start date: July 3, 2024
End date: July 26, 2024
a = -20.2037
b = 0.0139
s = 0.0242
Annual growth rate:
Exp(365 × b) – 1
= Exp(365 × 0.0139) – 1
= 16,146.62%
Price channel spread:
Exp(4 × s) – 1
= Exp(4 × 0.0242) – 1
= 10.17%
July 3, 2024 calculations
Top border of price channel:
Exp(Y1,241)
= Exp(a + b × X1,241 + 2 × s)
= Exp(a + b × 1,801 + 2 × s)
= Exp(-20.2037 + 0.0139 × 1,801 + 2 × 0.0242)
= Exp(4.9624)
= $142.93
Bottom border of price channel:
Exp(Y1,241)
= Exp(a + b × X1,241 – 2 × s)
= Exp(a + b × 1,801 – 2 × s)
= Exp(-20.2037 + 0.0139 × 1,801 – 2 × 0.0242)
= Exp(4.8655)
= $129.73
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(-20.2037 + 0.0139 × 1,824 + 2 × 0.0242)
= Exp(5.2831)
= $196.99
Bottom border of price channel:
Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,824 – 2 × s)
= Exp(-20.2037 + 0.0139 × 1,824 – 2 × 0.0242)
= Exp(5.1862)
= $178.79
Description
- The secondary trend is increasing.
- The growth rate of the secondary trend is 16,146.62% per annum.
- PRK price at the close of July 26, 2024 was inside the secondary price channel.