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 42.05% per annum.
  • RL price at the close of July 25, 2024 was $161.14 and was inside the primary price channel.
  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 87.84% per annum.
  • RL price at the close of July 25, 2024 was lower than the bottom border of the secondary price channel by $4.89 (2.94%). 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: July 25, 2024

a = 3.4102

b = 0.0010

s = 0.0905

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0010) – 1
= 42.05%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0905) – 1
= 43.60%

June 13, 2022 calculations

Top border of price channel:

Exp(Y726)
= Exp(a + b × X726 + 2 × s)
= Exp(a + b × 1,053 + 2 × s)
= Exp(3.4102 + 0.0010 × 1,053 + 2 × 0.0905)
= Exp(4.6039)
= $99.87

Bottom border of price channel:

Exp(Y726)
= Exp(a + b × X726 – 2 × s)
= Exp(a + b × 1,053 – 2 × s)
= Exp(3.4102 + 0.0010 × 1,053 – 2 × 0.0905)
= Exp(4.2420)
= $69.55

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(3.4102 + 0.0010 × 1,826 + 2 × 0.0905)
= Exp(5.3473)
= $210.04

Bottom border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(3.4102 + 0.0010 × 1,826 – 2 × 0.0905)
= Exp(4.9854)
= $146.27

Description

  • The primary trend is increasing.
  • The growth rate of the primary trend is 42.05% per annum.
  • RL price at the close of July 25, 2024 was $161.14 and was inside the primary price channel.

Secondary Trend

Start date: August 16, 2023
End date: July 25, 2024

a = 2.1276

b = 0.0017

s = 0.0846

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0017) – 1
= 87.84%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0846) – 1
= 40.25%

August 16, 2023 calculations

Top border of price channel:

Exp(Y1,021)
= Exp(a + b × X1,021 + 2 × s)
= Exp(a + b × 1,482 + 2 × s)
= Exp(2.1276 + 0.0017 × 1,482 + 2 × 0.0846)
= Exp(4.8563)
= $128.55

Bottom border of price channel:

Exp(Y1,021)
= Exp(a + b × X1,021 – 2 × s)
= Exp(a + b × 1,482 – 2 × s)
= Exp(2.1276 + 0.0017 × 1,482 – 2 × 0.0846)
= Exp(4.5180)
= $91.66

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(2.1276 + 0.0017 × 1,826 + 2 × 0.0846)
= Exp(5.4504)
= $232.86

Bottom border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(2.1276 + 0.0017 × 1,826 – 2 × 0.0846)
= Exp(5.1122)
= $166.03

Description

  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 87.84% per annum.
  • RL price at the close of July 25, 2024 was lower than the bottom border of the secondary price channel by $4.89 (2.94%). This indicates a possible reversal in the secondary trend direction.