Stock Price Trends

Humana Inc (HUM)

Humana Inc. is a for-profit American health insurance company based in Louisville, Kentucky.

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 23.14% per annum.
  • HUM price at the close of July 25, 2024 was $386.40 and was inside the primary price channel.
  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 114.80% per annum.
  • HUM price at the close of July 25, 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 HUM 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: October 20, 2022
End date: July 25, 2024

a = 7.1802

b = -0.0007

s = 0.0944

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × -0.0007) – 1
= -23.14%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0944) – 1
= 45.86%

October 20, 2022 calculations

Top border of price channel:

Exp(Y816)
= Exp(a + b × X816 + 2 × s)
= Exp(a + b × 1,182 + 2 × s)
= Exp(7.1802 + -0.0007 × 1,182 + 2 × 0.0944)
= Exp(6.5166)
= $676.27

Bottom border of price channel:

Exp(Y816)
= Exp(a + b × X816 – 2 × s)
= Exp(a + b × 1,182 – 2 × s)
= Exp(7.1802 + -0.0007 × 1,182 – 2 × 0.0944)
= Exp(6.1391)
= $463.63

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(7.1802 + -0.0007 × 1,826 + 2 × 0.0944)
= Exp(6.0522)
= $425.04

Bottom border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(7.1802 + -0.0007 × 1,826 – 2 × 0.0944)
= Exp(5.6747)
= $291.39

Description

  • The primary trend is decreasing.
  • The decline rate of the primary trend is 23.14% per annum.
  • HUM price at the close of July 25, 2024 was $386.40 and was inside the primary price channel.

Secondary Trend

Start date: April 2, 2024
End date: July 25, 2024

a = 2.1418

b = 0.0021

s = 0.0259

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0021) – 1
= 114.80%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0259) – 1
= 10.91%

April 2, 2024 calculations

Top border of price channel:

Exp(Y1,178)
= Exp(a + b × X1,178 + 2 × s)
= Exp(a + b × 1,712 + 2 × s)
= Exp(2.1418 + 0.0021 × 1,712 + 2 × 0.0259)
= Exp(5.7795)
= $323.60

Bottom border of price channel:

Exp(Y1,178)
= Exp(a + b × X1,178 – 2 × s)
= Exp(a + b × 1,712 – 2 × s)
= Exp(2.1418 + 0.0021 × 1,712 – 2 × 0.0259)
= Exp(5.6760)
= $291.77

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(2.1418 + 0.0021 × 1,826 + 2 × 0.0259)
= Exp(6.0183)
= $410.87

Bottom border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(2.1418 + 0.0021 × 1,826 – 2 × 0.0259)
= Exp(5.9148)
= $370.46

Description

  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 114.80% per annum.
  • HUM price at the close of July 25, 2024 was inside the secondary price channel.