Stock Price Trends

Procter & Gamble Company (PG)

The Procter & Gamble Company (P&G) is an American multinational consumer goods corporation headquartered in Cincinnati, Ohio, founded in 1837 by William Procter and James Gamble. It specializes in a wide range of personal health, consumer health, personal care, and hygiene products; these products are organized into several segments including Beauty; Grooming; Health Care; Fabric & Home Care; and Baby, Feminine, & Family Care. Before the sale of Pringles to Kellogg's, its product portfolio also included food, snacks, and beverages.

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 2.88% per annum.
  • PG price at the close of May 1, 2024 was $163.40 and was inside the primary price channel.
  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 11.72% per annum.
  • PG price at the close of May 1, 2024 was inside the secondary price channel.

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 PG 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: July 23, 2021
End date: January 24, 2024

a = 4.8536

b = 0.0001

s = 0.0524

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0001) – 1
= 2.88%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0524) – 1
= 23.33%

July 23, 2021 calculations

Top border of price channel:

Exp(Y561)
= Exp(a + b × X561 + 2 × s)
= Exp(a + b × 813 + 2 × s)
= Exp(4.8536 + 0.0001 × 813 + 2 × 0.0524)
= Exp(5.0217)
= $151.67

Bottom border of price channel:

Exp(Y561)
= Exp(a + b × X561 – 2 × s)
= Exp(a + b × 813 – 2 × s)
= Exp(4.8536 + 0.0001 × 813 – 2 × 0.0524)
= Exp(4.8120)
= $122.98

January 24, 2024 calculations

Top border of price channel:

Exp(Y1,190)
= Exp(a + b × X1,190 + 2 × s)
= Exp(a + b × 1,728 + 2 × s)
= Exp(4.8536 + 0.0001 × 1,728 + 2 × 0.0524)
= Exp(5.0930)
= $162.88

Bottom border of price channel:

Exp(Y1,190)
= Exp(a + b × X1,190 – 2 × s)
= Exp(a + b × 1,728 – 2 × s)
= Exp(4.8536 + 0.0001 × 1,728 – 2 × 0.0524)
= Exp(4.8833)
= $132.06

Description

  • The primary trend is increasing.
  • The growth rate of the primary trend is 2.88% per annum.
  • PG price at the close of May 1, 2024 was $163.40 and was inside the primary price channel.

Secondary Trend

Start date: August 26, 2022
End date: May 1, 2024

a = 4.5133

b = 0.0003

s = 0.0402

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0003) – 1
= 11.72%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0402) – 1
= 17.45%

August 26, 2022 calculations

Top border of price channel:

Exp(Y837)
= Exp(a + b × X837 + 2 × s)
= Exp(a + b × 1,212 + 2 × s)
= Exp(4.5133 + 0.0003 × 1,212 + 2 × 0.0402)
= Exp(4.9618)
= $142.86

Bottom border of price channel:

Exp(Y837)
= Exp(a + b × X837 – 2 × s)
= Exp(a + b × 1,212 – 2 × s)
= Exp(4.5133 + 0.0003 × 1,212 – 2 × 0.0402)
= Exp(4.8010)
= $121.63

May 1, 2024 calculations

Top border of price channel:

Exp(Y1,258)
= Exp(a + b × X1,258 + 2 × s)
= Exp(a + b × 1,826 + 2 × s)
= Exp(4.5133 + 0.0003 × 1,826 + 2 × 0.0402)
= Exp(5.1483)
= $172.14

Bottom border of price channel:

Exp(Y1,258)
= Exp(a + b × X1,258 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(4.5133 + 0.0003 × 1,826 – 2 × 0.0402)
= Exp(4.9875)
= $146.56

Description

  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 11.72% per annum.
  • PG price at the close of May 1, 2024 was inside the secondary price channel.