Stock Price Trends

Prudential Financial Inc (PRU)

Prudential Financial, Inc. is an American company whose subsidiaries provide insurance, investment management, and other financial products and services to both retail and institutional customers throughout the United States and in over 40 other countries.

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 44.01% per annum.
  • PRU price at the close of July 26, 2024 was $124.14 and was inside the primary price channel.
  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 52.15% per annum.
  • PRU price at the close of July 26, 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 PRU 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: March 13, 2023
End date: July 26, 2024

a = 2.9932

b = 0.0010

s = 0.0351

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0010) – 1
= 44.01%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0351) – 1
= 15.06%

March 13, 2023 calculations

Top border of price channel:

Exp(Y912)
= Exp(a + b × X912 + 2 × s)
= Exp(a + b × 1,323 + 2 × s)
= Exp(2.9932 + 0.0010 × 1,323 + 2 × 0.0351)
= Exp(4.3854)
= $80.27

Bottom border of price channel:

Exp(Y912)
= Exp(a + b × X912 – 2 × s)
= Exp(a + b × 1,323 – 2 × s)
= Exp(2.9932 + 0.0010 × 1,323 – 2 × 0.0351)
= Exp(4.2451)
= $69.76

July 26, 2024 calculations

Top border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 + 2 × s)
= Exp(a + b × 1,824 + 2 × s)
= Exp(2.9932 + 0.0010 × 1,824 + 2 × 0.0351)
= Exp(4.8860)
= $132.43

Bottom border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,824 – 2 × s)
= Exp(2.9932 + 0.0010 × 1,824 – 2 × 0.0351)
= Exp(4.7457)
= $115.09

Description

  • The primary trend is increasing.
  • The growth rate of the primary trend is 44.01% per annum.
  • PRU price at the close of July 26, 2024 was $124.14 and was inside the primary price channel.

Secondary Trend

Start date: October 2, 2023
End date: July 26, 2024

a = 2.7343

b = 0.0011

s = 0.0295

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0011) – 1
= 52.15%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0295) – 1
= 12.51%

October 2, 2023 calculations

Top border of price channel:

Exp(Y1,052)
= Exp(a + b × X1,052 + 2 × s)
= Exp(a + b × 1,526 + 2 × s)
= Exp(2.7343 + 0.0011 × 1,526 + 2 × 0.0295)
= Exp(4.5479)
= $94.44

Bottom border of price channel:

Exp(Y1,052)
= Exp(a + b × X1,052 – 2 × s)
= Exp(a + b × 1,526 – 2 × s)
= Exp(2.7343 + 0.0011 × 1,526 – 2 × 0.0295)
= Exp(4.4300)
= $83.93

July 26, 2024 calculations

Top border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 + 2 × s)
= Exp(a + b × 1,824 + 2 × s)
= Exp(2.7343 + 0.0011 × 1,824 + 2 × 0.0295)
= Exp(4.8906)
= $133.03

Bottom border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,824 – 2 × s)
= Exp(2.7343 + 0.0011 × 1,824 – 2 × 0.0295)
= Exp(4.7727)
= $118.24

Description

  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 52.15% per annum.
  • PRU price at the close of July 26, 2024 was inside the secondary price channel.