Stock Price Trends

ANSYS Inc (ANSS)

Ansys, Inc. is an American company based in Canonsburg, Pennsylvania. It develops and markets multiphysics engineering simulation software for product design, testing and operation and offers its products and services to customers worldwide.

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 18.81% per annum.
  • ANSS price at the close of July 26, 2024 was $312.26 and was inside the primary price channel.
  • The secondary trend is decreasing.
  • The decline rate of the secondary trend is 13.05% per annum.
  • ANSS price at the close of July 26, 2024 was inside the secondary price channel.
  • The direction of the secondary trend is opposite to the direction of the primary trend. This indicates a possible reversal in the direction of the primary trend.

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 ANSS 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: May 9, 2022
End date: July 16, 2024

a = 5.0032

b = 0.0005

s = 0.0855

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0005) – 1
= 18.81%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0855) – 1
= 40.77%

May 9, 2022 calculations

Top border of price channel:

Exp(Y701)
= Exp(a + b × X701 + 2 × s)
= Exp(a + b × 1,015 + 2 × s)
= Exp(5.0032 + 0.0005 × 1,015 + 2 × 0.0855)
= Exp(5.6535)
= $285.30

Bottom border of price channel:

Exp(Y701)
= Exp(a + b × X701 – 2 × s)
= Exp(a + b × 1,015 – 2 × s)
= Exp(5.0032 + 0.0005 × 1,015 – 2 × 0.0855)
= Exp(5.3115)
= $202.66

July 16, 2024 calculations

Top border of price channel:

Exp(Y1,249)
= Exp(a + b × X1,249 + 2 × s)
= Exp(a + b × 1,814 + 2 × s)
= Exp(5.0032 + 0.0005 × 1,814 + 2 × 0.0855)
= Exp(6.0309)
= $416.09

Bottom border of price channel:

Exp(Y1,249)
= Exp(a + b × X1,249 – 2 × s)
= Exp(a + b × 1,814 – 2 × s)
= Exp(5.0032 + 0.0005 × 1,814 – 2 × 0.0855)
= Exp(5.6889)
= $295.57

Description

  • The primary trend is increasing.
  • The growth rate of the primary trend is 18.81% per annum.
  • ANSS price at the close of July 26, 2024 was $312.26 and was inside the primary price channel.

Secondary Trend

Start date: December 22, 2023
End date: July 26, 2024

a = 6.4643

b = -0.0004

s = 0.0221

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × -0.0004) – 1
= -13.05%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0221) – 1
= 9.24%

December 22, 2023 calculations

Top border of price channel:

Exp(Y1,110)
= Exp(a + b × X1,110 + 2 × s)
= Exp(a + b × 1,607 + 2 × s)
= Exp(6.4643 + -0.0004 × 1,607 + 2 × 0.0221)
= Exp(5.8928)
= $362.43

Bottom border of price channel:

Exp(Y1,110)
= Exp(a + b × X1,110 – 2 × s)
= Exp(a + b × 1,607 – 2 × s)
= Exp(6.4643 + -0.0004 × 1,607 – 2 × 0.0221)
= Exp(5.8044)
= $331.77

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(6.4643 + -0.0004 × 1,824 + 2 × 0.0221)
= Exp(5.8097)
= $333.52

Bottom border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,824 – 2 × s)
= Exp(6.4643 + -0.0004 × 1,824 – 2 × 0.0221)
= Exp(5.7213)
= $305.30

Description

  • The secondary trend is decreasing.
  • The decline rate of the secondary trend is 13.05% per annum.
  • ANSS price at the close of July 26, 2024 was inside the secondary price channel.