Stock Price Trends

Universal Health Services Inc (UHS)

UnitedHealth Group Incorporated is an American for-profit multinational managed healthcare and insurance company based in Minnetonka, Minnesota. It offers health care products and insurance services.

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 103.71% per annum.
  • UHS price at the close of May 17, 2024 was $177.70 and was lower than the bottom border of the primary price channel by $5.39 (2.95%). This indicates a possible reversal in the primary trend direction.
  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 42.32% per annum.
  • UHS price at the close of May 17, 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 UHS 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 5, 2023
End date: April 5, 2024

a = 1.7207

b = 0.0019

s = 0.0332

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0019) – 1
= 103.71%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0332) – 1
= 14.19%

September 5, 2023 calculations

Top border of price channel:

Exp(Y1,081)
= Exp(a + b × X1,081 + 2 × s)
= Exp(a + b × 1,569 + 2 × s)
= Exp(1.7207 + 0.0019 × 1,569 + 2 × 0.0332)
= Exp(4.8456)
= $127.18

Bottom border of price channel:

Exp(Y1,081)
= Exp(a + b × X1,081 – 2 × s)
= Exp(a + b × 1,569 – 2 × s)
= Exp(1.7207 + 0.0019 × 1,569 – 2 × 0.0332)
= Exp(4.7129)
= $111.38

April 5, 2024 calculations

Top border of price channel:

Exp(Y1,228)
= Exp(a + b × X1,228 + 2 × s)
= Exp(a + b × 1,782 + 2 × s)
= Exp(1.7207 + 0.0019 × 1,782 + 2 × 0.0332)
= Exp(5.2608)
= $192.64

Bottom border of price channel:

Exp(Y1,228)
= Exp(a + b × X1,228 – 2 × s)
= Exp(a + b × 1,782 – 2 × s)
= Exp(1.7207 + 0.0019 × 1,782 – 2 × 0.0332)
= Exp(5.1281)
= $168.70

Description

  • The primary trend is increasing.
  • The growth rate of the primary trend is 103.71% per annum.
  • UHS price at the close of May 17, 2024 was $177.70 and was lower than the bottom border of the primary price channel by $5.39 (2.95%). This indicates a possible reversal in the primary trend direction.

Secondary Trend

Start date: December 13, 2023
End date: May 17, 2024

a = 3.4148

b = 0.0010

s = 0.0366

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0010) – 1
= 42.32%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0366) – 1
= 15.78%

December 13, 2023 calculations

Top border of price channel:

Exp(Y1,151)
= Exp(a + b × X1,151 + 2 × s)
= Exp(a + b × 1,668 + 2 × s)
= Exp(3.4148 + 0.0010 × 1,668 + 2 × 0.0366)
= Exp(5.1007)
= $164.14

Bottom border of price channel:

Exp(Y1,151)
= Exp(a + b × X1,151 – 2 × s)
= Exp(a + b × 1,668 – 2 × s)
= Exp(3.4148 + 0.0010 × 1,668 – 2 × 0.0366)
= Exp(4.9542)
= $141.76

May 17, 2024 calculations

Top border of price channel:

Exp(Y1,258)
= Exp(a + b × X1,258 + 2 × s)
= Exp(a + b × 1,824 + 2 × s)
= Exp(3.4148 + 0.0010 × 1,824 + 2 × 0.0366)
= Exp(5.2516)
= $190.86

Bottom border of price channel:

Exp(Y1,258)
= Exp(a + b × X1,258 – 2 × s)
= Exp(a + b × 1,824 – 2 × s)
= Exp(3.4148 + 0.0010 × 1,824 – 2 × 0.0366)
= Exp(5.1050)
= $164.84

Description

  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 42.32% per annum.
  • UHS price at the close of May 17, 2024 was inside the secondary price channel.