Stock Price Trends

Patterson Companies Inc (PDCO)

Patterson Companies, Inc. distributes and sells dental and animal health products in the United States, the United Kingdom, and Canada. The company is headquartered in Saint Paul, Minnesota.

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 4.70% per annum.
  • PDCO price at the close of May 17, 2024 was $25.76 and was inside the primary price channel.
  • The secondary trend is decreasing.
  • The decline rate of the secondary trend is 40.93% per annum.
  • PDCO price at the close of May 17, 2024 was higher than the top border of the secondary price channel by $0.02 (0.08%). 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 PDCO 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: December 2, 2020
End date: June 20, 2023

a = 3.4557

b = -0.0001

s = 0.0583

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × -0.0001) – 1
= -4.70%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0583) – 1
= 26.24%

December 2, 2020 calculations

Top border of price channel:

Exp(Y389)
= Exp(a + b × X389 + 2 × s)
= Exp(a + b × 562 + 2 × s)
= Exp(3.4557 + -0.0001 × 562 + 2 × 0.0583)
= Exp(3.4980)
= $33.05

Bottom border of price channel:

Exp(Y389)
= Exp(a + b × X389 – 2 × s)
= Exp(a + b × 562 – 2 × s)
= Exp(3.4557 + -0.0001 × 562 – 2 × 0.0583)
= Exp(3.2650)
= $26.18

June 20, 2023 calculations

Top border of price channel:

Exp(Y1,028)
= Exp(a + b × X1,028 + 2 × s)
= Exp(a + b × 1,492 + 2 × s)
= Exp(3.4557 + -0.0001 × 1,492 + 2 × 0.0583)
= Exp(3.3753)
= $29.23

Bottom border of price channel:

Exp(Y1,028)
= Exp(a + b × X1,028 – 2 × s)
= Exp(a + b × 1,492 – 2 × s)
= Exp(3.4557 + -0.0001 × 1,492 – 2 × 0.0583)
= Exp(3.1422)
= $23.16

Description

  • The primary trend is decreasing.
  • The decline rate of the primary trend is 4.70% per annum.
  • PDCO price at the close of May 17, 2024 was $25.76 and was inside the primary price channel.

Secondary Trend

Start date: January 8, 2024
End date: May 6, 2024

a = 5.8382

b = -0.0014

s = 0.0203

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × -0.0014) – 1
= -40.93%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0203) – 1
= 8.48%

January 8, 2024 calculations

Top border of price channel:

Exp(Y1,167)
= Exp(a + b × X1,167 + 2 × s)
= Exp(a + b × 1,694 + 2 × s)
= Exp(5.8382 + -0.0014 × 1,694 + 2 × 0.0203)
= Exp(3.4355)
= $31.05

Bottom border of price channel:

Exp(Y1,167)
= Exp(a + b × X1,167 – 2 × s)
= Exp(a + b × 1,694 – 2 × s)
= Exp(5.8382 + -0.0014 × 1,694 – 2 × 0.0203)
= Exp(3.3542)
= $28.62

May 6, 2024 calculations

Top border of price channel:

Exp(Y1,249)
= Exp(a + b × X1,249 + 2 × s)
= Exp(a + b × 1,813 + 2 × s)
= Exp(5.8382 + -0.0014 × 1,813 + 2 × 0.0203)
= Exp(3.2639)
= $26.15

Bottom border of price channel:

Exp(Y1,249)
= Exp(a + b × X1,249 – 2 × s)
= Exp(a + b × 1,813 – 2 × s)
= Exp(5.8382 + -0.0014 × 1,813 – 2 × 0.0203)
= Exp(3.1825)
= $24.11

Description

  • The secondary trend is decreasing.
  • The decline rate of the secondary trend is 40.93% per annum.
  • PDCO price at the close of May 17, 2024 was higher than the top border of the secondary price channel by $0.02 (0.08%). This indicates a possible reversal in the secondary trend direction.