Stock Price Trends

Jack In The Box Inc (JACK)

Jack in the Box Inc. operates and franchises Jack in the Box quick service restaurants. The company is headquartered in San Diego, California.

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 39.10% per annum.
  • JACK price at the close of April 28, 2025 was $25.75 and was lower than the bottom border of the primary price channel by $2.49 (8.80%).
  • The secondary trend is decreasing.
  • The decline rate of the secondary trend is 94.89% per annum.
  • JACK price at the close of April 28, 2025 was higher than the top border of the secondary price channel by $1.67 (6.95%). This indicates a possible reversal in the secondary trend direction.

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 JACK 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: April 20, 2023
End date: April 2, 2025

a = 6.0199

b = -0.0014

s = 0.0999

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × -0.0014) – 1
= -39.10%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0999) – 1
= 49.14%

April 20, 2023 calculations

Top border of price channel:

Exp(Y749)
= Exp(a + b × X749 + 2 × s)
= Exp(a + b × 1,086 + 2 × s)
= Exp(6.0199 + -0.0014 × 1,086 + 2 × 0.0999)
= Exp(4.7443)
= $114.93

Bottom border of price channel:

Exp(Y749)
= Exp(a + b × X749 – 2 × s)
= Exp(a + b × 1,086 – 2 × s)
= Exp(6.0199 + -0.0014 × 1,086 – 2 × 0.0999)
= Exp(4.3446)
= $77.06

April 2, 2025 calculations

Top border of price channel:

Exp(Y1,238)
= Exp(a + b × X1,238 + 2 × s)
= Exp(a + b × 1,799 + 2 × s)
= Exp(6.0199 + -0.0014 × 1,799 + 2 × 0.0999)
= Exp(3.7756)
= $43.62

Bottom border of price channel:

Exp(Y1,238)
= Exp(a + b × X1,238 – 2 × s)
= Exp(a + b × 1,799 – 2 × s)
= Exp(6.0199 + -0.0014 × 1,799 – 2 × 0.0999)
= Exp(3.3759)
= $29.25

Description

  • The primary trend is decreasing.
  • The decline rate of the primary trend is 39.10% per annum.
  • JACK price at the close of April 28, 2025 was $25.75 and was lower than the bottom border of the primary price channel by $2.49 (8.80%).

Secondary Trend

Start date: February 3, 2025
End date: April 21, 2025

a = 17.9488

b = -0.0081

s = 0.0495

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × -0.0081) – 1
= -94.89%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0495) – 1
= 21.88%

February 3, 2025 calculations

Top border of price channel:

Exp(Y1,197)
= Exp(a + b × X1,197 + 2 × s)
= Exp(a + b × 1,741 + 2 × s)
= Exp(17.9488 + -0.0081 × 1,741 + 2 × 0.0495)
= Exp(3.8655)
= $47.73

Bottom border of price channel:

Exp(Y1,197)
= Exp(a + b × X1,197 – 2 × s)
= Exp(a + b × 1,741 – 2 × s)
= Exp(17.9488 + -0.0081 × 1,741 – 2 × 0.0495)
= Exp(3.6676)
= $39.16

April 21, 2025 calculations

Top border of price channel:

Exp(Y1,250)
= Exp(a + b × X1,250 + 2 × s)
= Exp(a + b × 1,818 + 2 × s)
= Exp(17.9488 + -0.0081 × 1,818 + 2 × 0.0495)
= Exp(3.2383)
= $25.49

Bottom border of price channel:

Exp(Y1,250)
= Exp(a + b × X1,250 – 2 × s)
= Exp(a + b × 1,818 – 2 × s)
= Exp(17.9488 + -0.0081 × 1,818 – 2 × 0.0495)
= Exp(3.0404)
= $20.91

Description

  • The secondary trend is decreasing.
  • The decline rate of the secondary trend is 94.89% per annum.
  • JACK price at the close of April 28, 2025 was higher than the top border of the secondary price channel by $1.67 (6.95%). This indicates a possible reversal in the secondary trend direction.