Stock Price Trends

Yum! Brands Inc (YUM)

Yum! Brands, Inc. is an American fast food corporation listed on the Fortune 1000. Yum! operates the brands KFC, Pizza Hut, Taco Bell, The Habit Burger Grill, and WingStreet worldwide, except in China, where the brands are operated by a separate company, Yum China.

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 35.39% per annum.
  • YUM price at the close of May 8, 2024 was $136.96 and was lower than the bottom border of the primary price channel by $0.51 (0.37%). This indicates a possible reversal in the primary trend direction.
  • The secondary trend is decreasing.
  • The decline rate of the secondary trend is 0.17% per annum.
  • YUM price at the close of May 8, 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 YUM 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: October 3, 2023
End date: April 30, 2024

a = 3.4450

b = 0.0008

s = 0.0187

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0008) – 1
= 35.39%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0187) – 1
= 7.77%

October 3, 2023 calculations

Top border of price channel:

Exp(Y1,108)
= Exp(a + b × X1,108 + 2 × s)
= Exp(a + b × 1,608 + 2 × s)
= Exp(3.4450 + 0.0008 × 1,608 + 2 × 0.0187)
= Exp(4.8172)
= $123.62

Bottom border of price channel:

Exp(Y1,108)
= Exp(a + b × X1,108 – 2 × s)
= Exp(a + b × 1,608 – 2 × s)
= Exp(3.4450 + 0.0008 × 1,608 – 2 × 0.0187)
= Exp(4.7424)
= $114.71

April 30, 2024 calculations

Top border of price channel:

Exp(Y1,252)
= Exp(a + b × X1,252 + 2 × s)
= Exp(a + b × 1,818 + 2 × s)
= Exp(3.4450 + 0.0008 × 1,818 + 2 × 0.0187)
= Exp(4.9915)
= $147.16

Bottom border of price channel:

Exp(Y1,252)
= Exp(a + b × X1,252 – 2 × s)
= Exp(a + b × 1,818 – 2 × s)
= Exp(3.4450 + 0.0008 × 1,818 – 2 × 0.0187)
= Exp(4.9167)
= $136.56

Description

  • The primary trend is increasing.
  • The growth rate of the primary trend is 35.39% per annum.
  • YUM price at the close of May 8, 2024 was $136.96 and was lower than the bottom border of the primary price channel by $0.51 (0.37%). This indicates a possible reversal in the primary trend direction.

Secondary Trend

Start date: February 22, 2024
End date: May 8, 2024

a = 4.9358

b = 0.0000

s = 0.0146

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0000) – 1
= -0.17%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0146) – 1
= 6.03%

February 22, 2024 calculations

Top border of price channel:

Exp(Y1,205)
= Exp(a + b × X1,205 + 2 × s)
= Exp(a + b × 1,750 + 2 × s)
= Exp(4.9358 + 0.0000 × 1,750 + 2 × 0.0146)
= Exp(4.9570)
= $142.16

Bottom border of price channel:

Exp(Y1,205)
= Exp(a + b × X1,205 – 2 × s)
= Exp(a + b × 1,750 – 2 × s)
= Exp(4.9358 + 0.0000 × 1,750 – 2 × 0.0146)
= Exp(4.8984)
= $134.07

May 8, 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(4.9358 + 0.0000 × 1,826 + 2 × 0.0146)
= Exp(4.9566)
= $142.11

Bottom border of price channel:

Exp(Y1,258)
= Exp(a + b × X1,258 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(4.9358 + 0.0000 × 1,826 – 2 × 0.0146)
= Exp(4.8980)
= $134.03

Description

  • The secondary trend is decreasing.
  • The decline rate of the secondary trend is 0.17% per annum.
  • YUM price at the close of May 8, 2024 was inside the secondary price channel.