Stock Price Trends

Chipotle Mexican Grill Inc (CMG)

Chipotle Mexican Grill, Inc., often known simply as Chipotle, is an American chain of fast casual restaurants in the United States, United Kingdom, Canada, Germany, and France, specializing in tacos and Mission burritos that are made to order in front of the customer.

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 143.06% per annum.
  • CMG price at the close of May 1, 2024 was $3,138.66 and was inside the primary price channel.
  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 175.87% per annum.
  • CMG price at the close of May 1, 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 CMG 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: September 21, 2023
End date: May 1, 2024

a = 3.5948

b = 0.0024

s = 0.0335

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0024) – 1
= 143.06%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0335) – 1
= 14.36%

September 21, 2023 calculations

Top border of price channel:

Exp(Y1,105)
= Exp(a + b × X1,105 + 2 × s)
= Exp(a + b × 1,603 + 2 × s)
= Exp(3.5948 + 0.0024 × 1,603 + 2 × 0.0335)
= Exp(7.5625)
= $1,924.62

Bottom border of price channel:

Exp(Y1,105)
= Exp(a + b × X1,105 – 2 × s)
= Exp(a + b × 1,603 – 2 × s)
= Exp(3.5948 + 0.0024 × 1,603 – 2 × 0.0335)
= Exp(7.4283)
= $1,682.97

May 1, 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(3.5948 + 0.0024 × 1,826 + 2 × 0.0335)
= Exp(8.1051)
= $3,311.34

Bottom border of price channel:

Exp(Y1,258)
= Exp(a + b × X1,258 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(3.5948 + 0.0024 × 1,826 – 2 × 0.0335)
= Exp(7.9709)
= $2,895.58

Description

  • The primary trend is increasing.
  • The growth rate of the primary trend is 143.06% per annum.
  • CMG price at the close of May 1, 2024 was $3,138.66 and was inside the primary price channel.

Secondary Trend

Start date: January 2, 2024
End date: May 1, 2024

a = 2.9744

b = 0.0028

s = 0.0250

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0028) – 1
= 175.87%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0250) – 1
= 10.51%

January 2, 2024 calculations

Top border of price channel:

Exp(Y1,175)
= Exp(a + b × X1,175 + 2 × s)
= Exp(a + b × 1,706 + 2 × s)
= Exp(2.9744 + 0.0028 × 1,706 + 2 × 0.0250)
= Exp(7.7674)
= $2,362.21

Bottom border of price channel:

Exp(Y1,175)
= Exp(a + b × X1,175 – 2 × s)
= Exp(a + b × 1,706 – 2 × s)
= Exp(2.9744 + 0.0028 × 1,706 – 2 × 0.0250)
= Exp(7.6674)
= $2,137.62

May 1, 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(2.9744 + 0.0028 × 1,826 + 2 × 0.0250)
= Exp(8.1010)
= $3,297.67

Bottom border of price channel:

Exp(Y1,258)
= Exp(a + b × X1,258 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(2.9744 + 0.0028 × 1,826 – 2 × 0.0250)
= Exp(8.0011)
= $2,984.14

Description

  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 175.87% per annum.
  • CMG price at the close of May 1, 2024 was inside the secondary price channel.