Stock Price Trends

ACI Worldwide Inc (ACIW)

ACI Worldwide, Inc., a software company, develops, markets, installs and supports a variety of software products and solutions to facilitate electronic payments to banks, financial intermediaries, merchants and invoice issuers globally. The company is headquartered in Naples, Florida.

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 74.06% per annum.
  • ACIW price at the close of May 9, 2024 was $36.17 and was inside the primary price channel.
  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 870.43% per annum.
  • ACIW price at the close of May 9, 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 ACIW 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: June 16, 2023
End date: May 9, 2024

a = 0.7607

b = 0.0015

s = 0.0750

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0015) – 1
= 74.06%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0750) – 1
= 34.97%

June 16, 2023 calculations

Top border of price channel:

Exp(Y1,033)
= Exp(a + b × X1,033 + 2 × s)
= Exp(a + b × 1,498 + 2 × s)
= Exp(0.7607 + 0.0015 × 1,498 + 2 × 0.0750)
= Exp(3.1853)
= $24.17

Bottom border of price channel:

Exp(Y1,033)
= Exp(a + b × X1,033 – 2 × s)
= Exp(a + b × 1,498 – 2 × s)
= Exp(0.7607 + 0.0015 × 1,498 – 2 × 0.0750)
= Exp(2.8855)
= $17.91

May 9, 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(0.7607 + 0.0015 × 1,826 + 2 × 0.0750)
= Exp(3.6834)
= $39.78

Bottom border of price channel:

Exp(Y1,258)
= Exp(a + b × X1,258 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(0.7607 + 0.0015 × 1,826 – 2 × 0.0750)
= Exp(3.3835)
= $29.47

Description

  • The primary trend is increasing.
  • The growth rate of the primary trend is 74.06% per annum.
  • ACIW price at the close of May 9, 2024 was $36.17 and was inside the primary price channel.

Secondary Trend

Start date: April 15, 2024
End date: May 9, 2024

a = -7.7798

b = 0.0062

s = 0.0117

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0062) – 1
= 870.43%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0117) – 1
= 4.81%

April 15, 2024 calculations

Top border of price channel:

Exp(Y1,240)
= Exp(a + b × X1,240 + 2 × s)
= Exp(a + b × 1,802 + 2 × s)
= Exp(-7.7798 + 0.0062 × 1,802 + 2 × 0.0117)
= Exp(3.4633)
= $31.92

Bottom border of price channel:

Exp(Y1,240)
= Exp(a + b × X1,240 – 2 × s)
= Exp(a + b × 1,802 – 2 × s)
= Exp(-7.7798 + 0.0062 × 1,802 – 2 × 0.0117)
= Exp(3.4163)
= $30.46

May 9, 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(-7.7798 + 0.0062 × 1,826 + 2 × 0.0117)
= Exp(3.6127)
= $37.07

Bottom border of price channel:

Exp(Y1,258)
= Exp(a + b × X1,258 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(-7.7798 + 0.0062 × 1,826 – 2 × 0.0117)
= Exp(3.5658)
= $35.37

Description

  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 870.43% per annum.
  • ACIW price at the close of May 9, 2024 was inside the secondary price channel.