Stock Price Trends

Sally Beauty Holdings Inc (SBH)

Sally Beauty Holdings, Inc. is a specialty retailer and distributor of professional beauty products. The company is headquartered in Denton, Texas.

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 24.99% per annum.
  • SBH price at the close of December 2, 2024 was $13.93 and was higher than the top border of the primary price channel by $4.39 (46.01%). This indicates a possible reversal in the primary trend direction.
  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 30.76% per annum.
  • SBH price at the close of December 2, 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 SBH 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: March 1, 2021
End date: December 11, 2023

a = 3.4442

b = -0.0008

s = 0.1250

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × -0.0008) – 1
= -24.99%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.1250) – 1
= 64.87%

March 1, 2021 calculations

Top border of price channel:

Exp(Y311)
= Exp(a + b × X311 + 2 × s)
= Exp(a + b × 454 + 2 × s)
= Exp(3.4442 + -0.0008 × 454 + 2 × 0.1250)
= Exp(3.3365)
= $28.12

Bottom border of price channel:

Exp(Y311)
= Exp(a + b × X311 – 2 × s)
= Exp(a + b × 454 – 2 × s)
= Exp(3.4442 + -0.0008 × 454 – 2 × 0.1250)
= Exp(2.8365)
= $17.06

December 11, 2023 calculations

Top border of price channel:

Exp(Y1,012)
= Exp(a + b × X1,012 + 2 × s)
= Exp(a + b × 1,469 + 2 × s)
= Exp(3.4442 + -0.0008 × 1,469 + 2 × 0.1250)
= Exp(2.5368)
= $12.64

Bottom border of price channel:

Exp(Y1,012)
= Exp(a + b × X1,012 – 2 × s)
= Exp(a + b × 1,469 – 2 × s)
= Exp(3.4442 + -0.0008 × 1,469 – 2 × 0.1250)
= Exp(2.0368)
= $7.67

Description

  • The primary trend is decreasing.
  • The decline rate of the primary trend is 24.99% per annum.
  • SBH price at the close of December 2, 2024 was $13.93 and was higher than the top border of the primary price channel by $4.39 (46.01%). This indicates a possible reversal in the primary trend direction.

Secondary Trend

Start date: August 15, 2023
End date: December 2, 2024

a = 1.2476

b = 0.0007

s = 0.1216

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0007) – 1
= 30.76%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.1216) – 1
= 62.63%

August 15, 2023 calculations

Top border of price channel:

Exp(Y930)
= Exp(a + b × X930 + 2 × s)
= Exp(a + b × 1,351 + 2 × s)
= Exp(1.2476 + 0.0007 × 1,351 + 2 × 0.1216)
= Exp(2.4835)
= $11.98

Bottom border of price channel:

Exp(Y930)
= Exp(a + b × X930 – 2 × s)
= Exp(a + b × 1,351 – 2 × s)
= Exp(1.2476 + 0.0007 × 1,351 – 2 × 0.1216)
= Exp(1.9972)
= $7.37

December 2, 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(1.2476 + 0.0007 × 1,826 + 2 × 0.1216)
= Exp(2.8326)
= $16.99

Bottom border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(1.2476 + 0.0007 × 1,826 – 2 × 0.1216)
= Exp(2.3463)
= $10.45

Description

  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 30.76% per annum.
  • SBH price at the close of December 2, 2024 was inside the secondary price channel.