Stock Price Trends

Union Pacific Corporation (UNP)

The Union Pacific Corporation (Union Pacific) is a publicly traded railroad holding company. It was incorporated in Utah in 1969 and is headquartered in Omaha, Nebraska. It is the parent company of the current, Delaware-registered, form of the Union Pacific Railroad.

Stock Price Trends

Stock price trends estimated using linear regression.

Key facts

  • The primary trend is decreasing.
  • The decline rate of the primary trend is 2.23% per annum.
  • UNP price at the close of April 30, 2024 was $237.16 and was higher than the top border of the primary price channel by $5.07 (2.18%). This indicates a possible reversal in the primary trend direction.
  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 31.41% per annum.
  • UNP price at the close of April 30, 2024 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 UNP 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 5, 2021
End date: November 20, 2023

a = 5.4197

b = -0.0001

s = 0.0702

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × -0.0001) – 1
= -2.23%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0702) – 1
= 32.41%

March 5, 2021 calculations

Top border of price channel:

Exp(Y465)
= Exp(a + b × X465 + 2 × s)
= Exp(a + b × 674 + 2 × s)
= Exp(5.4197 + -0.0001 × 674 + 2 × 0.0702)
= Exp(5.5184)
= $249.23

Bottom border of price channel:

Exp(Y465)
= Exp(a + b × X465 – 2 × s)
= Exp(a + b × 674 – 2 × s)
= Exp(5.4197 + -0.0001 × 674 – 2 × 0.0702)
= Exp(5.2377)
= $188.23

November 20, 2023 calculations

Top border of price channel:

Exp(Y1,148)
= Exp(a + b × X1,148 + 2 × s)
= Exp(a + b × 1,664 + 2 × s)
= Exp(5.4197 + -0.0001 × 1,664 + 2 × 0.0702)
= Exp(5.4571)
= $234.43

Bottom border of price channel:

Exp(Y1,148)
= Exp(a + b × X1,148 – 2 × s)
= Exp(a + b × 1,664 – 2 × s)
= Exp(5.4197 + -0.0001 × 1,664 – 2 × 0.0702)
= Exp(5.1764)
= $177.05

Description

  • The primary trend is decreasing.
  • The decline rate of the primary trend is 2.23% per annum.
  • UNP price at the close of April 30, 2024 was $237.16 and was higher than the top border of the primary price channel by $5.07 (2.18%). This indicates a possible reversal in the primary trend direction.

Secondary Trend

Start date: March 9, 2023
End date: April 10, 2024

a = 4.1727

b = 0.0007

s = 0.0416

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0007) – 1
= 31.41%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0416) – 1
= 18.10%

March 9, 2023 calculations

Top border of price channel:

Exp(Y971)
= Exp(a + b × X971 + 2 × s)
= Exp(a + b × 1,408 + 2 × s)
= Exp(4.1727 + 0.0007 × 1,408 + 2 × 0.0416)
= Exp(5.3094)
= $202.24

Bottom border of price channel:

Exp(Y971)
= Exp(a + b × X971 – 2 × s)
= Exp(a + b × 1,408 – 2 × s)
= Exp(4.1727 + 0.0007 × 1,408 – 2 × 0.0416)
= Exp(5.1431)
= $171.24

April 10, 2024 calculations

Top border of price channel:

Exp(Y1,244)
= Exp(a + b × X1,244 + 2 × s)
= Exp(a + b × 1,806 + 2 × s)
= Exp(4.1727 + 0.0007 × 1,806 + 2 × 0.0416)
= Exp(5.6073)
= $272.40

Bottom border of price channel:

Exp(Y1,244)
= Exp(a + b × X1,244 – 2 × s)
= Exp(a + b × 1,806 – 2 × s)
= Exp(4.1727 + 0.0007 × 1,806 – 2 × 0.0416)
= Exp(5.4409)
= $230.65

Description

  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 31.41% per annum.
  • UNP price at the close of April 30, 2024 was inside the secondary price channel.