Stock Price Trends

Bath & Body Works Inc. (BBWI)

None

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 20.97% per annum.
  • BBWI price at the close of July 26, 2024 was $34.17 and was inside the primary price channel.
  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 12.32% per annum.
  • BBWI price at the close of July 26, 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 BBWI 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: February 26, 2021
End date: December 12, 2023

a = 4.4605

b = -0.0006

s = 0.1757

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × -0.0006) – 1
= -20.97%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.1757) – 1
= 101.96%

February 26, 2021 calculations

Top border of price channel:

Exp(Y399)
= Exp(a + b × X399 + 2 × s)
= Exp(a + b × 578 + 2 × s)
= Exp(4.4605 + -0.0006 × 578 + 2 × 0.1757)
= Exp(4.4393)
= $84.71

Bottom border of price channel:

Exp(Y399)
= Exp(a + b × X399 – 2 × s)
= Exp(a + b × 578 – 2 × s)
= Exp(4.4605 + -0.0006 × 578 – 2 × 0.1757)
= Exp(3.7364)
= $41.95

December 12, 2023 calculations

Top border of price channel:

Exp(Y1,102)
= Exp(a + b × X1,102 + 2 × s)
= Exp(a + b × 1,597 + 2 × s)
= Exp(4.4605 + -0.0006 × 1,597 + 2 × 0.1757)
= Exp(3.7822)
= $43.91

Bottom border of price channel:

Exp(Y1,102)
= Exp(a + b × X1,102 – 2 × s)
= Exp(a + b × 1,597 – 2 × s)
= Exp(4.4605 + -0.0006 × 1,597 – 2 × 0.1757)
= Exp(3.0793)
= $21.74

Description

  • The primary trend is decreasing.
  • The decline rate of the primary trend is 20.97% per annum.
  • BBWI price at the close of July 26, 2024 was $34.17 and was inside the primary price channel.

Secondary Trend

Start date: May 19, 2022
End date: July 23, 2024

a = 3.1719

b = 0.0003

s = 0.1308

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0003) – 1
= 12.32%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.1308) – 1
= 68.72%

May 19, 2022 calculations

Top border of price channel:

Exp(Y709)
= Exp(a + b × X709 + 2 × s)
= Exp(a + b × 1,025 + 2 × s)
= Exp(3.1719 + 0.0003 × 1,025 + 2 × 0.1308)
= Exp(3.7596)
= $42.93

Bottom border of price channel:

Exp(Y709)
= Exp(a + b × X709 – 2 × s)
= Exp(a + b × 1,025 – 2 × s)
= Exp(3.1719 + 0.0003 × 1,025 – 2 × 0.1308)
= Exp(3.2366)
= $25.45

July 23, 2024 calculations

Top border of price channel:

Exp(Y1,254)
= Exp(a + b × X1,254 + 2 × s)
= Exp(a + b × 1,821 + 2 × s)
= Exp(3.1719 + 0.0003 × 1,821 + 2 × 0.1308)
= Exp(4.0129)
= $55.31

Bottom border of price channel:

Exp(Y1,254)
= Exp(a + b × X1,254 – 2 × s)
= Exp(a + b × 1,821 – 2 × s)
= Exp(3.1719 + 0.0003 × 1,821 – 2 × 0.1308)
= Exp(3.4898)
= $32.78

Description

  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 12.32% per annum.
  • BBWI price at the close of July 26, 2024 was inside the secondary price channel.