Stock Price Trends

Carter’s Inc (CRI)

Carter's, Inc. designs, supplies, and markets branded children's clothing under the brands Carter's, OshKosh, Skip Hop, Child of Mine, Just One You, Simple Joys, Carter's little baby basics, and other brands in the United States and internationally. The company is headquartered in Atlanta, Georgia.

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 55.16% per annum.
  • CRI price at the close of July 25, 2024 was $59.81 and was inside the primary price channel.
  • The secondary trend is decreasing.
  • The decline rate of the secondary trend is 45.25% per annum.
  • CRI price at the close of July 25, 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 CRI 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: February 20, 2024
End date: July 25, 2024

a = 8.0968

b = -0.0022

s = 0.0357

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × -0.0022) – 1
= -55.16%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0357) – 1
= 15.33%

February 20, 2024 calculations

Top border of price channel:

Exp(Y1,149)
= Exp(a + b × X1,149 + 2 × s)
= Exp(a + b × 1,670 + 2 × s)
= Exp(8.0968 + -0.0022 × 1,670 + 2 × 0.0357)
= Exp(4.4980)
= $89.84

Bottom border of price channel:

Exp(Y1,149)
= Exp(a + b × X1,149 – 2 × s)
= Exp(a + b × 1,670 – 2 × s)
= Exp(8.0968 + -0.0022 × 1,670 – 2 × 0.0357)
= Exp(4.3554)
= $77.90

July 25, 2024 calculations

Top border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 + 2 × s)
= Exp(a + b × 1,826 + 2 × s)
= Exp(8.0968 + -0.0022 × 1,826 + 2 × 0.0357)
= Exp(4.1552)
= $63.77

Bottom border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(8.0968 + -0.0022 × 1,826 – 2 × 0.0357)
= Exp(4.0126)
= $55.29

Description

  • The primary trend is decreasing.
  • The decline rate of the primary trend is 55.16% per annum.
  • CRI price at the close of July 25, 2024 was $59.81 and was inside the primary price channel.

Secondary Trend

Start date: April 10, 2024
End date: July 25, 2024

a = 7.1170

b = -0.0017

s = 0.0185

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × -0.0017) – 1
= -45.25%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0185) – 1
= 7.69%

April 10, 2024 calculations

Top border of price channel:

Exp(Y1,184)
= Exp(a + b × X1,184 + 2 × s)
= Exp(a + b × 1,720 + 2 × s)
= Exp(7.1170 + -0.0017 × 1,720 + 2 × 0.0185)
= Exp(4.3158)
= $74.87

Bottom border of price channel:

Exp(Y1,184)
= Exp(a + b × X1,184 – 2 × s)
= Exp(a + b × 1,720 – 2 × s)
= Exp(7.1170 + -0.0017 × 1,720 – 2 × 0.0185)
= Exp(4.2417)
= $69.53

July 25, 2024 calculations

Top border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 + 2 × s)
= Exp(a + b × 1,826 + 2 × s)
= Exp(7.1170 + -0.0017 × 1,826 + 2 × 0.0185)
= Exp(4.1409)
= $62.86

Bottom border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(7.1170 + -0.0017 × 1,826 – 2 × 0.0185)
= Exp(4.0668)
= $58.37

Description

  • The secondary trend is decreasing.
  • The decline rate of the secondary trend is 45.25% per annum.
  • CRI price at the close of July 25, 2024 was inside the secondary price channel.