Stock Price Trends

Ralph Lauren Corp Class A (RL)

Ralph Lauren Corporation is an American fashion company producing products ranging from the mid-range to the luxury segments. They are known for the clothing, marketing and distribution of products in four categories: apparel, home, accessories, and fragrances.

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 42.36% per annum.
  • RL price at the close of November 20, 2024 was $202.15 and was inside the primary price channel.
  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 179.44% per annum.
  • RL price at the close of November 20, 2024 was lower than the bottom border of the secondary price channel by $3.64 (1.77%). This indicates a possible reversal in the secondary trend direction.

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 RL 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: June 13, 2022
End date: November 20, 2024

a = 3.5118

b = 0.0010

s = 0.0873

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0010) – 1
= 42.36%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0873) – 1
= 41.78%

June 13, 2022 calculations

Top border of price channel:

Exp(Y643)
= Exp(a + b × X643 + 2 × s)
= Exp(a + b × 935 + 2 × s)
= Exp(3.5118 + 0.0010 × 935 + 2 × 0.0873)
= Exp(4.5911)
= $98.60

Bottom border of price channel:

Exp(Y643)
= Exp(a + b × X643 – 2 × s)
= Exp(a + b × 935 – 2 × s)
= Exp(3.5118 + 0.0010 × 935 – 2 × 0.0873)
= Exp(4.2419)
= $69.54

November 20, 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(3.5118 + 0.0010 × 1,826 + 2 × 0.0873)
= Exp(5.4532)
= $233.50

Bottom border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(3.5118 + 0.0010 × 1,826 – 2 × 0.0873)
= Exp(5.1041)
= $164.69

Description

  • The primary trend is increasing.
  • The growth rate of the primary trend is 42.36% per annum.
  • RL price at the close of November 20, 2024 was $202.15 and was inside the primary price channel.

Secondary Trend

Start date: August 2, 2024
End date: November 20, 2024

a = 0.2396

b = 0.0028

s = 0.0268

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0028) – 1
= 179.44%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0268) – 1
= 11.30%

August 2, 2024 calculations

Top border of price channel:

Exp(Y1,180)
= Exp(a + b × X1,180 + 2 × s)
= Exp(a + b × 1,716 + 2 × s)
= Exp(0.2396 + 0.0028 × 1,716 + 2 × 0.0268)
= Exp(5.1242)
= $168.05

Bottom border of price channel:

Exp(Y1,180)
= Exp(a + b × X1,180 – 2 × s)
= Exp(a + b × 1,716 – 2 × s)
= Exp(0.2396 + 0.0028 × 1,716 – 2 × 0.0268)
= Exp(5.0172)
= $150.98

November 20, 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(0.2396 + 0.0028 × 1,826 + 2 × 0.0268)
= Exp(5.4339)
= $229.05

Bottom border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(0.2396 + 0.0028 × 1,826 – 2 × 0.0268)
= Exp(5.3269)
= $205.79

Description

  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 179.44% per annum.
  • RL price at the close of November 20, 2024 was lower than the bottom border of the secondary price channel by $3.64 (1.77%). This indicates a possible reversal in the secondary trend direction.