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 0.94% per annum.
  • UNP price at the close of November 19, 2024 was $233.29 and was inside the primary price channel.
  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 14.59% per annum.
  • UNP price at the close of November 19, 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: January 6, 2021
End date: November 29, 2023

a = 5.3569

b = 0.0000

s = 0.0724

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0000) – 1
= -0.94%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0724) – 1
= 33.57%

January 6, 2021 calculations

Top border of price channel:

Exp(Y283)
= Exp(a + b × X283 + 2 × s)
= Exp(a + b × 413 + 2 × s)
= Exp(5.3569 + 0.0000 × 413 + 2 × 0.0724)
= Exp(5.4910)
= $242.50

Bottom border of price channel:

Exp(Y283)
= Exp(a + b × X283 – 2 × s)
= Exp(a + b × 413 – 2 × s)
= Exp(5.3569 + 0.0000 × 413 – 2 × 0.0724)
= Exp(5.2015)
= $181.55

November 29, 2023 calculations

Top border of price channel:

Exp(Y1,012)
= Exp(a + b × X1,012 + 2 × s)
= Exp(a + b × 1,470 + 2 × s)
= Exp(5.3569 + 0.0000 × 1,470 + 2 × 0.0724)
= Exp(5.4638)
= $235.99

Bottom border of price channel:

Exp(Y1,012)
= Exp(a + b × X1,012 – 2 × s)
= Exp(a + b × 1,470 – 2 × s)
= Exp(5.3569 + 0.0000 × 1,470 – 2 × 0.0724)
= Exp(5.1743)
= $176.67

Description

  • The primary trend is decreasing.
  • The decline rate of the primary trend is 0.94% per annum.
  • UNP price at the close of November 19, 2024 was $233.29 and was inside the primary price channel.

Secondary Trend

Start date: September 23, 2022
End date: November 15, 2024

a = 4.8418

b = 0.0004

s = 0.0505

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0004) – 1
= 14.59%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0505) – 1
= 22.37%

September 23, 2022 calculations

Top border of price channel:

Exp(Y715)
= Exp(a + b × X715 + 2 × s)
= Exp(a + b × 1,038 + 2 × s)
= Exp(4.8418 + 0.0004 × 1,038 + 2 × 0.0505)
= Exp(5.3301)
= $206.45

Bottom border of price channel:

Exp(Y715)
= Exp(a + b × X715 – 2 × s)
= Exp(a + b × 1,038 – 2 × s)
= Exp(4.8418 + 0.0004 × 1,038 – 2 × 0.0505)
= Exp(5.1282)
= $168.71

November 15, 2024 calculations

Top border of price channel:

Exp(Y1,255)
= Exp(a + b × X1,255 + 2 × s)
= Exp(a + b × 1,822 + 2 × s)
= Exp(4.8418 + 0.0004 × 1,822 + 2 × 0.0505)
= Exp(5.6226)
= $276.60

Bottom border of price channel:

Exp(Y1,255)
= Exp(a + b × X1,255 – 2 × s)
= Exp(a + b × 1,822 – 2 × s)
= Exp(4.8418 + 0.0004 × 1,822 – 2 × 0.0505)
= Exp(5.4207)
= $226.04

Description

  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 14.59% per annum.
  • UNP price at the close of November 19, 2024 was inside the secondary price channel.