Stock Price Trends

John Wiley & Sons (WLY)

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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 33.42% per annum.
  • WLY price at the close of August 29, 2025 was $40.58 and was lower than the bottom border of the primary price channel by $5.11 (11.18%). This indicates a possible reversal in the primary trend direction.
  • The secondary trend is decreasing.
  • The decline rate of the secondary trend is 14.14% per annum.
  • WLY price at the close of August 29, 2025 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 WLY 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: May 2, 2023
End date: January 22, 2025

a = 2.5822

b = 0.0008

s = 0.0999

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0008) – 1
= 33.42%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0999) – 1
= 49.11%

May 2, 2023 calculations

Top border of price channel:

Exp(Y669)
= Exp(a + b × X669 + 2 × s)
= Exp(a + b × 972 + 2 × s)
= Exp(2.5822 + 0.0008 × 972 + 2 × 0.0999)
= Exp(3.5499)
= $34.81

Bottom border of price channel:

Exp(Y669)
= Exp(a + b × X669 – 2 × s)
= Exp(a + b × 972 – 2 × s)
= Exp(2.5822 + 0.0008 × 972 – 2 × 0.0999)
= Exp(3.1504)
= $23.34

January 22, 2025 calculations

Top border of price channel:

Exp(Y1,101)
= Exp(a + b × X1,101 + 2 × s)
= Exp(a + b × 1,603 + 2 × s)
= Exp(2.5822 + 0.0008 × 1,603 + 2 × 0.0999)
= Exp(4.0484)
= $57.30

Bottom border of price channel:

Exp(Y1,101)
= Exp(a + b × X1,101 – 2 × s)
= Exp(a + b × 1,603 – 2 × s)
= Exp(2.5822 + 0.0008 × 1,603 – 2 × 0.0999)
= Exp(3.6489)
= $38.43

Description

  • The primary trend is increasing.
  • The growth rate of the primary trend is 33.42% per annum.
  • WLY price at the close of August 29, 2025 was $40.58 and was lower than the bottom border of the primary price channel by $5.11 (11.18%). This indicates a possible reversal in the primary trend direction.

Secondary Trend

Start date: July 11, 2024
End date: August 29, 2025

a = 4.4429

b = -0.0004

s = 0.0605

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × -0.0004) – 1
= -14.14%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0605) – 1
= 27.37%

July 11, 2024 calculations

Top border of price channel:

Exp(Y968)
= Exp(a + b × X968 + 2 × s)
= Exp(a + b × 1,408 + 2 × s)
= Exp(4.4429 + -0.0004 × 1,408 + 2 × 0.0605)
= Exp(3.9759)
= $53.30

Bottom border of price channel:

Exp(Y968)
= Exp(a + b × X968 – 2 × s)
= Exp(a + b × 1,408 – 2 × s)
= Exp(4.4429 + -0.0004 × 1,408 – 2 × 0.0605)
= Exp(3.7339)
= $41.84

August 29, 2025 calculations

Top border of price channel:

Exp(Y1,253)
= Exp(a + b × X1,253 + 2 × s)
= Exp(a + b × 1,822 + 2 × s)
= Exp(4.4429 + -0.0004 × 1,822 + 2 × 0.0605)
= Exp(3.8030)
= $44.84

Bottom border of price channel:

Exp(Y1,253)
= Exp(a + b × X1,253 – 2 × s)
= Exp(a + b × 1,822 – 2 × s)
= Exp(4.4429 + -0.0004 × 1,822 – 2 × 0.0605)
= Exp(3.5611)
= $35.20

Description

  • The secondary trend is decreasing.
  • The decline rate of the secondary trend is 14.14% per annum.
  • WLY price at the close of August 29, 2025 was inside the secondary price channel.