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 increasing.
  • The growth rate of the primary trend is 122.03% per annum.
  • UPS price at the close of January 14, 2026 was $107.40 and was inside the primary price channel.
  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 723.78% per annum.
  • UPS price at the close of January 14, 2026 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: September 8, 2025
End date: January 14, 2026

a = 0.6748

b = 0.0022

s = 0.0245

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0022) – 1
= 122.03%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0245) – 1
= 10.32%

September 8, 2025 calculations

Top border of price channel:

Exp(Y1,165)
= Exp(a + b × X1,165 + 2 × s)
= Exp(a + b × 1,697 + 2 × s)
= Exp(0.6748 + 0.0022 × 1,697 + 2 × 0.0245)
= Exp(4.4325)
= $84.14

Bottom border of price channel:

Exp(Y1,165)
= Exp(a + b × X1,165 – 2 × s)
= Exp(a + b × 1,697 – 2 × s)
= Exp(0.6748 + 0.0022 × 1,697 – 2 × 0.0245)
= Exp(4.3343)
= $76.27

January 14, 2026 calculations

Top border of price channel:

Exp(Y1,254)
= Exp(a + b × X1,254 + 2 × s)
= Exp(a + b × 1,825 + 2 × s)
= Exp(0.6748 + 0.0022 × 1,825 + 2 × 0.0245)
= Exp(4.7122)
= $111.30

Bottom border of price channel:

Exp(Y1,254)
= Exp(a + b × X1,254 – 2 × s)
= Exp(a + b × 1,825 – 2 × s)
= Exp(0.6748 + 0.0022 × 1,825 – 2 × 0.0245)
= Exp(4.6140)
= $100.89

Description

  • The primary trend is increasing.
  • The growth rate of the primary trend is 122.03% per annum.
  • UPS price at the close of January 14, 2026 was $107.40 and was inside the primary price channel.

Secondary Trend

Start date: December 29, 2025
End date: January 14, 2026

a = -5.8531

b = 0.0058

s = 0.0133

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0058) – 1
= 723.78%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0133) – 1
= 5.47%

December 29, 2025 calculations

Top border of price channel:

Exp(Y1,243)
= Exp(a + b × X1,243 + 2 × s)
= Exp(a + b × 1,809 + 2 × s)
= Exp(-5.8531 + 0.0058 × 1,809 + 2 × 0.0133)
= Exp(4.6248)
= $101.98

Bottom border of price channel:

Exp(Y1,243)
= Exp(a + b × X1,243 – 2 × s)
= Exp(a + b × 1,809 – 2 × s)
= Exp(-5.8531 + 0.0058 × 1,809 – 2 × 0.0133)
= Exp(4.5715)
= $96.69

January 14, 2026 calculations

Top border of price channel:

Exp(Y1,254)
= Exp(a + b × X1,254 + 2 × s)
= Exp(a + b × 1,825 + 2 × s)
= Exp(-5.8531 + 0.0058 × 1,825 + 2 × 0.0133)
= Exp(4.7172)
= $111.86

Bottom border of price channel:

Exp(Y1,254)
= Exp(a + b × X1,254 – 2 × s)
= Exp(a + b × 1,825 – 2 × s)
= Exp(-5.8531 + 0.0058 × 1,825 – 2 × 0.0133)
= Exp(4.6639)
= $106.05

Description

  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 723.78% per annum.
  • UPS price at the close of January 14, 2026 was inside the secondary price channel.