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 decreasing.
  • The decline rate of the primary trend is 32.38% per annum.
  • CHUY price at the close of July 25, 2024 was $37.06 and was higher than the top border of the primary price channel by $6.55 (21.47%). This indicates a possible reversal in the primary trend direction.
  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 19,807,976.66% per annum.
  • CHUY price at the close of July 25, 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 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: June 2, 2023
End date: July 17, 2024

a = 5.2461

b = -0.0011

s = 0.0646

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × -0.0011) – 1
= -32.38%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0646) – 1
= 29.50%

June 2, 2023 calculations

Top border of price channel:

Exp(Y970)
= Exp(a + b × X970 + 2 × s)
= Exp(a + b × 1,407 + 2 × s)
= Exp(5.2461 + -0.0011 × 1,407 + 2 × 0.0646)
= Exp(3.8672)
= $47.81

Bottom border of price channel:

Exp(Y970)
= Exp(a + b × X970 – 2 × s)
= Exp(a + b × 1,407 – 2 × s)
= Exp(5.2461 + -0.0011 × 1,407 – 2 × 0.0646)
= Exp(3.6087)
= $36.92

July 17, 2024 calculations

Top border of price channel:

Exp(Y1,251)
= Exp(a + b × X1,251 + 2 × s)
= Exp(a + b × 1,818 + 2 × s)
= Exp(5.2461 + -0.0011 × 1,818 + 2 × 0.0646)
= Exp(3.4267)
= $30.77

Bottom border of price channel:

Exp(Y1,251)
= Exp(a + b × X1,251 – 2 × s)
= Exp(a + b × 1,818 – 2 × s)
= Exp(5.2461 + -0.0011 × 1,818 – 2 × 0.0646)
= Exp(3.1682)
= $23.76

Description

  • The primary trend is decreasing.
  • The decline rate of the primary trend is 32.38% per annum.
  • CHUY price at the close of July 25, 2024 was $37.06 and was higher than the top border of the primary price channel by $6.55 (21.47%). This indicates a possible reversal in the primary trend direction.

Secondary Trend

Start date: July 8, 2024
End date: July 25, 2024

a = -57.3549

b = 0.0334

s = 0.1106

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0334) – 1
= 19,807,976.66%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.1106) – 1
= 55.62%

July 8, 2024 calculations

Top border of price channel:

Exp(Y1,244)
= Exp(a + b × X1,244 + 2 × s)
= Exp(a + b × 1,809 + 2 × s)
= Exp(-57.3549 + 0.0334 × 1,809 + 2 × 0.1106)
= Exp(3.3138)
= $27.49

Bottom border of price channel:

Exp(Y1,244)
= Exp(a + b × X1,244 – 2 × s)
= Exp(a + b × 1,809 – 2 × s)
= Exp(-57.3549 + 0.0334 × 1,809 – 2 × 0.1106)
= Exp(2.8715)
= $17.66

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(-57.3549 + 0.0334 × 1,826 + 2 × 0.1106)
= Exp(3.8818)
= $48.51

Bottom border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(-57.3549 + 0.0334 × 1,826 – 2 × 0.1106)
= Exp(3.4396)
= $31.17

Description

  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 19,807,976.66% per annum.
  • CHUY price at the close of July 25, 2024 was inside the secondary price channel.