Stock Price Trends

PTC Inc (PTC)

PTC Inc. is an American computer software and services company founded in 1985 and headquartered in Boston, Massachusetts.

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 54.34% per annum.
  • PTC price at the close of March 31, 2025 was $154.95 and was inside the primary price channel.
  • The secondary trend is decreasing.
  • The decline rate of the secondary trend is 22.42% per annum.
  • PTC price at the close of March 31, 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 PTC 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: November 22, 2024
End date: March 31, 2025

a = 8.9673

b = -0.0021

s = 0.0338

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × -0.0021) – 1
= -54.34%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0338) – 1
= 14.47%

November 22, 2024 calculations

Top border of price channel:

Exp(Y1,170)
= Exp(a + b × X1,170 + 2 × s)
= Exp(a + b × 1,696 + 2 × s)
= Exp(8.9673 + -0.0021 × 1,696 + 2 × 0.0338)
= Exp(5.3922)
= $219.68

Bottom border of price channel:

Exp(Y1,170)
= Exp(a + b × X1,170 – 2 × s)
= Exp(a + b × 1,696 – 2 × s)
= Exp(8.9673 + -0.0021 × 1,696 – 2 × 0.0338)
= Exp(5.2570)
= $191.91

March 31, 2025 calculations

Top border of price channel:

Exp(Y1,255)
= Exp(a + b × X1,255 + 2 × s)
= Exp(a + b × 1,825 + 2 × s)
= Exp(8.9673 + -0.0021 × 1,825 + 2 × 0.0338)
= Exp(5.1151)
= $166.51

Bottom border of price channel:

Exp(Y1,255)
= Exp(a + b × X1,255 – 2 × s)
= Exp(a + b × 1,825 – 2 × s)
= Exp(8.9673 + -0.0021 × 1,825 – 2 × 0.0338)
= Exp(4.9800)
= $145.47

Description

  • The primary trend is decreasing.
  • The decline rate of the primary trend is 54.34% per annum.
  • PTC price at the close of March 31, 2025 was $154.95 and was inside the primary price channel.

Secondary Trend

Start date: February 21, 2025
End date: March 31, 2025

a = 6.3312

b = -0.0007

s = 0.0164

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × -0.0007) – 1
= -22.42%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0164) – 1
= 6.77%

February 21, 2025 calculations

Top border of price channel:

Exp(Y1,229)
= Exp(a + b × X1,229 + 2 × s)
= Exp(a + b × 1,787 + 2 × s)
= Exp(6.3312 + -0.0007 × 1,787 + 2 × 0.0164)
= Exp(5.1211)
= $167.52

Bottom border of price channel:

Exp(Y1,229)
= Exp(a + b × X1,229 – 2 × s)
= Exp(a + b × 1,787 – 2 × s)
= Exp(6.3312 + -0.0007 × 1,787 – 2 × 0.0164)
= Exp(5.0556)
= $156.89

March 31, 2025 calculations

Top border of price channel:

Exp(Y1,255)
= Exp(a + b × X1,255 + 2 × s)
= Exp(a + b × 1,825 + 2 × s)
= Exp(6.3312 + -0.0007 × 1,825 + 2 × 0.0164)
= Exp(5.0947)
= $163.15

Bottom border of price channel:

Exp(Y1,255)
= Exp(a + b × X1,255 – 2 × s)
= Exp(a + b × 1,825 – 2 × s)
= Exp(6.3312 + -0.0007 × 1,825 – 2 × 0.0164)
= Exp(5.0291)
= $152.80

Description

  • The secondary trend is decreasing.
  • The decline rate of the secondary trend is 22.42% per annum.
  • PTC price at the close of March 31, 2025 was inside the secondary price channel.