Stock Price Trends

Pegasystems Inc (PEGA)

Pegasystems Inc. develops, markets, licenses, hosts and supports business software applications in the United States, the rest of the Americas, the United Kingdom, the rest of Europe, the Middle East, Africa, and Asia-Pacific. The company is headquartered in Cambridge, Massachusetts.

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 46.64% per annum.
  • PEGA price at the close of August 26, 2025 was $52.31 and was inside the primary price channel.
  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 204.77% per annum.
  • PEGA price at the close of August 26, 2025 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 PEGA 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: August 19, 2022
End date: August 26, 2025

a = 2.0315

b = 0.0010

s = 0.1188

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0010) – 1
= 46.64%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.1188) – 1
= 60.85%

August 19, 2022 calculations

Top border of price channel:

Exp(Y498)
= Exp(a + b × X498 + 2 × s)
= Exp(a + b × 722 + 2 × s)
= Exp(2.0315 + 0.0010 × 722 + 2 × 0.1188)
= Exp(3.0264)
= $20.62

Bottom border of price channel:

Exp(Y498)
= Exp(a + b × X498 – 2 × s)
= Exp(a + b × 722 – 2 × s)
= Exp(2.0315 + 0.0010 × 722 – 2 × 0.1188)
= Exp(2.5511)
= $12.82

August 26, 2025 calculations

Top border of price channel:

Exp(Y1,254)
= Exp(a + b × X1,254 + 2 × s)
= Exp(a + b × 1,825 + 2 × s)
= Exp(2.0315 + 0.0010 × 1,825 + 2 × 0.1188)
= Exp(4.1833)
= $65.58

Bottom border of price channel:

Exp(Y1,254)
= Exp(a + b × X1,254 – 2 × s)
= Exp(a + b × 1,825 – 2 × s)
= Exp(2.0315 + 0.0010 × 1,825 – 2 × 0.1188)
= Exp(3.7080)
= $40.77

Description

  • The primary trend is increasing.
  • The growth rate of the primary trend is 46.64% per annum.
  • PEGA price at the close of August 26, 2025 was $52.31 and was inside the primary price channel.

Secondary Trend

Start date: March 6, 2025
End date: August 26, 2025

a = -1.4780

b = 0.0031

s = 0.0914

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0031) – 1
= 204.77%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0914) – 1
= 44.15%

March 6, 2025 calculations

Top border of price channel:

Exp(Y1,135)
= Exp(a + b × X1,135 + 2 × s)
= Exp(a + b × 1,652 + 2 × s)
= Exp(-1.4780 + 0.0031 × 1,652 + 2 × 0.0914)
= Exp(3.7486)
= $42.46

Bottom border of price channel:

Exp(Y1,135)
= Exp(a + b × X1,135 – 2 × s)
= Exp(a + b × 1,652 – 2 × s)
= Exp(-1.4780 + 0.0031 × 1,652 – 2 × 0.0914)
= Exp(3.3830)
= $29.46

August 26, 2025 calculations

Top border of price channel:

Exp(Y1,254)
= Exp(a + b × X1,254 + 2 × s)
= Exp(a + b × 1,825 + 2 × s)
= Exp(-1.4780 + 0.0031 × 1,825 + 2 × 0.0914)
= Exp(4.2768)
= $72.01

Bottom border of price channel:

Exp(Y1,254)
= Exp(a + b × X1,254 – 2 × s)
= Exp(a + b × 1,825 – 2 × s)
= Exp(-1.4780 + 0.0031 × 1,825 – 2 × 0.0914)
= Exp(3.9112)
= $49.96

Description

  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 204.77% per annum.
  • PEGA price at the close of August 26, 2025 was inside the secondary price channel.