Stock Price Trends

Chuy's Holdings Inc (CHUY)

Chuy's Holdings, Inc. owns and operates full-service restaurants under the Chuy's name in 17 states, including the southeastern and midwestern United States. The company is headquartered in Austin, Texas.

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 6.35% per annum.
  • CHUY price at the close of October 11, 2024 was $37.48 and was inside the primary price channel.
  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 7.22% per annum.
  • CHUY price at the close of October 11, 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 CHUY 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: July 25, 2024
End date: October 11, 2024

a = 3.3224

b = 0.0002

s = 0.0010

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0002) – 1
= 6.35%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0010) – 1
= 0.41%

July 25, 2024 calculations

Top border of price channel:

Exp(Y1,174)
= Exp(a + b × X1,174 + 2 × s)
= Exp(a + b × 1,708 + 2 × s)
= Exp(3.3224 + 0.0002 × 1,708 + 2 × 0.0010)
= Exp(3.6126)
= $37.06

Bottom border of price channel:

Exp(Y1,174)
= Exp(a + b × X1,174 – 2 × s)
= Exp(a + b × 1,708 – 2 × s)
= Exp(3.3224 + 0.0002 × 1,708 – 2 × 0.0010)
= Exp(3.6085)
= $36.91

October 11, 2024 calculations

Top border of price channel:

Exp(Y1,229)
= Exp(a + b × X1,229 + 2 × s)
= Exp(a + b × 1,786 + 2 × s)
= Exp(3.3224 + 0.0002 × 1,786 + 2 × 0.0010)
= Exp(3.6258)
= $37.55

Bottom border of price channel:

Exp(Y1,229)
= Exp(a + b × X1,229 – 2 × s)
= Exp(a + b × 1,786 – 2 × s)
= Exp(3.3224 + 0.0002 × 1,786 – 2 × 0.0010)
= Exp(3.6216)
= $37.40

Description

  • The primary trend is increasing.
  • The growth rate of the primary trend is 6.35% per annum.
  • CHUY price at the close of October 11, 2024 was $37.48 and was inside the primary price channel.

Secondary Trend

Start date: August 6, 2024
End date: October 11, 2024

a = 3.2830

b = 0.0002

s = 0.0007

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0002) – 1
= 7.22%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0007) – 1
= 0.29%

August 6, 2024 calculations

Top border of price channel:

Exp(Y1,182)
= Exp(a + b × X1,182 + 2 × s)
= Exp(a + b × 1,720 + 2 × s)
= Exp(3.2830 + 0.0002 × 1,720 + 2 × 0.0007)
= Exp(3.6130)
= $37.08

Bottom border of price channel:

Exp(Y1,182)
= Exp(a + b × X1,182 – 2 × s)
= Exp(a + b × 1,720 – 2 × s)
= Exp(3.2830 + 0.0002 × 1,720 – 2 × 0.0007)
= Exp(3.6101)
= $36.97

October 11, 2024 calculations

Top border of price channel:

Exp(Y1,229)
= Exp(a + b × X1,229 + 2 × s)
= Exp(a + b × 1,786 + 2 × s)
= Exp(3.2830 + 0.0002 × 1,786 + 2 × 0.0007)
= Exp(3.6257)
= $37.55

Bottom border of price channel:

Exp(Y1,229)
= Exp(a + b × X1,229 – 2 × s)
= Exp(a + b × 1,786 – 2 × s)
= Exp(3.2830 + 0.0002 × 1,786 – 2 × 0.0007)
= Exp(3.6227)
= $37.44

Description

  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 7.22% per annum.
  • CHUY price at the close of October 11, 2024 was inside the secondary price channel.