Stock Price Trends

The Cheesecake Factory (CAKE)

Cheesecake Factory Incorporated operates restaurants. The company is headquartered in Calabasas, California.

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 48.28% per annum.
  • CAKE price at the close of March 31, 2025 was $48.66 and was inside the primary price channel.
  • The secondary trend is decreasing.
  • The decline rate of the secondary trend is 60.25% per annum.
  • CAKE price at the close of March 31, 2025 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 CAKE 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 5, 2023
End date: March 31, 2025

a = 1.9761

b = 0.0011

s = 0.0602

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0011) – 1
= 48.28%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0602) – 1
= 27.25%

September 5, 2023 calculations

Top border of price channel:

Exp(Y862)
= Exp(a + b × X862 + 2 × s)
= Exp(a + b × 1,252 + 2 × s)
= Exp(1.9761 + 0.0011 × 1,252 + 2 × 0.0602)
= Exp(3.4477)
= $31.43

Bottom border of price channel:

Exp(Y862)
= Exp(a + b × X862 – 2 × s)
= Exp(a + b × 1,252 – 2 × s)
= Exp(1.9761 + 0.0011 × 1,252 – 2 × 0.0602)
= Exp(3.2068)
= $24.70

March 31, 2025 calculations

Top border of price channel:

Exp(Y1,255)
= Exp(a + b × X1,255 + 2 × s)
= Exp(a + b × 1,825 + 2 × s)
= Exp(1.9761 + 0.0011 × 1,825 + 2 × 0.0602)
= Exp(4.0661)
= $58.33

Bottom border of price channel:

Exp(Y1,255)
= Exp(a + b × X1,255 – 2 × s)
= Exp(a + b × 1,825 – 2 × s)
= Exp(1.9761 + 0.0011 × 1,825 – 2 × 0.0602)
= Exp(3.8251)
= $45.84

Description

  • The primary trend is increasing.
  • The growth rate of the primary trend is 48.28% per annum.
  • CAKE price at the close of March 31, 2025 was $48.66 and was inside the primary price channel.

Secondary Trend

Start date: January 29, 2025
End date: March 31, 2025

a = 8.4746

b = -0.0025

s = 0.0404

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × -0.0025) – 1
= -60.25%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0404) – 1
= 17.55%

January 29, 2025 calculations

Top border of price channel:

Exp(Y1,213)
= Exp(a + b × X1,213 + 2 × s)
= Exp(a + b × 1,764 + 2 × s)
= Exp(8.4746 + -0.0025 × 1,764 + 2 × 0.0404)
= Exp(4.0968)
= $60.15

Bottom border of price channel:

Exp(Y1,213)
= Exp(a + b × X1,213 – 2 × s)
= Exp(a + b × 1,764 – 2 × s)
= Exp(8.4746 + -0.0025 × 1,764 – 2 × 0.0404)
= Exp(3.9351)
= $51.17

March 31, 2025 calculations

Top border of price channel:

Exp(Y1,255)
= Exp(a + b × X1,255 + 2 × s)
= Exp(a + b × 1,825 + 2 × s)
= Exp(8.4746 + -0.0025 × 1,825 + 2 × 0.0404)
= Exp(3.9426)
= $51.55

Bottom border of price channel:

Exp(Y1,255)
= Exp(a + b × X1,255 – 2 × s)
= Exp(a + b × 1,825 – 2 × s)
= Exp(8.4746 + -0.0025 × 1,825 – 2 × 0.0404)
= Exp(3.7809)
= $43.86

Description

  • The secondary trend is decreasing.
  • The decline rate of the secondary trend is 60.25% per annum.
  • CAKE price at the close of March 31, 2025 was inside the secondary price channel.