Stock Price Trends

United Parcel Service Inc (UPS)

United Parcel Service is an American multinational shipping & receiving and supply chain management company founded in 1907.

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 8.59% per annum.
  • UPS price at the close of July 25, 2024 was $127.08 and was lower than the bottom border of the primary price channel by $0.15 (0.12%).
  • The secondary trend is decreasing.
  • The decline rate of the secondary trend is 16.60% per annum.
  • UPS price at the close of July 25, 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 UPS 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: April 28, 2021
End date: July 25, 2024

a = 5.4229

b = -0.0002

s = 0.0638

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × -0.0002) – 1
= -8.59%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0638) – 1
= 29.06%

April 28, 2021 calculations

Top border of price channel:

Exp(Y442)
= Exp(a + b × X442 + 2 × s)
= Exp(a + b × 642 + 2 × s)
= Exp(5.4229 + -0.0002 × 642 + 2 × 0.0638)
= Exp(5.3924)
= $219.74

Bottom border of price channel:

Exp(Y442)
= Exp(a + b × X442 – 2 × s)
= Exp(a + b × 642 – 2 × s)
= Exp(5.4229 + -0.0002 × 642 – 2 × 0.0638)
= Exp(5.1373)
= $170.26

July 25, 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(5.4229 + -0.0002 × 1,826 + 2 × 0.0638)
= Exp(5.1011)
= $164.19

Bottom border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(5.4229 + -0.0002 × 1,826 – 2 × 0.0638)
= Exp(4.8460)
= $127.23

Description

  • The primary trend is decreasing.
  • The decline rate of the primary trend is 8.59% per annum.
  • UPS price at the close of July 25, 2024 was $127.08 and was lower than the bottom border of the primary price channel by $0.15 (0.12%).

Secondary Trend

Start date: January 31, 2023
End date: July 25, 2024

a = 5.8220

b = -0.0005

s = 0.0483

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × -0.0005) – 1
= -16.60%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0483) – 1
= 21.30%

January 31, 2023 calculations

Top border of price channel:

Exp(Y885)
= Exp(a + b × X885 + 2 × s)
= Exp(a + b × 1,285 + 2 × s)
= Exp(5.8220 + -0.0005 × 1,285 + 2 × 0.0483)
= Exp(5.2794)
= $196.26

Bottom border of price channel:

Exp(Y885)
= Exp(a + b × X885 – 2 × s)
= Exp(a + b × 1,285 – 2 × s)
= Exp(5.8220 + -0.0005 × 1,285 – 2 × 0.0483)
= Exp(5.0863)
= $161.79

July 25, 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(5.8220 + -0.0005 × 1,826 + 2 × 0.0483)
= Exp(5.0103)
= $149.95

Bottom border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(5.8220 + -0.0005 × 1,826 – 2 × 0.0483)
= Exp(4.8172)
= $123.62

Description

  • The secondary trend is decreasing.
  • The decline rate of the secondary trend is 16.60% per annum.
  • UPS price at the close of July 25, 2024 was inside the secondary price channel.