# Papa John's International, Inc. (PZZA)

there are two types of people at papa john's... those who make pizza and those who support the people who make the pizza." - john schnatter papa john's seeks people who have an entrepreneurial spirit and share our philosophy for success. hands-on training, a clean and safe work environment, quality business practices, advancement opportunities and meaningful work combine to produce not only the best pizza, but also the best team members! better opportunities. better people! at papa john's we call ourselves team members instead of employees because we believe it is only through a strong team we can produce the best experience for our customers. whether at our corporate campus, distribution centers, our restaurants, or located internationally; papa john's has a variety of positions for talented and passionate people. papa john's is an equal opportunity employer and provides excellent career opportunities for our entire team. our company philosophies of promote from within and rewar

## Stock Price Trends

Stock price trends estimated using linear regression.

## Paying users area

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#### Key facts

• The primary trend is decreasing.
• The decline rate of the primary trend is 24.19% per annum.
• PZZA price at the close of December 8, 2023 was \$70.14 and was inside the primary price channel.
• The secondary trend is decreasing.
• The decline rate of the secondary trend is 12.91% per annum.
• PZZA price at the close of December 8, 2023 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 PZZA 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:
End date:

a =

b =

s =

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × ) – 1
=

Exp(4 × s) – 1
= Exp(4 × ) – 1
=

#### July 9, 2021 calculations

Top border of price channel:

Exp(Y)
= Exp(a + b × X + 2 × s)
= Exp(a + b × + 2 × s)
= Exp( + × + 2 × )
= Exp()
= \$

Bottom border of price channel:

Exp(Y)
= Exp(a + b × X – 2 × s)
= Exp(a + b × – 2 × s)
= Exp( + × – 2 × )
= Exp()
= \$

#### December 8, 2023 calculations

Top border of price channel:

Exp(Y)
= Exp(a + b × X + 2 × s)
= Exp(a + b × + 2 × s)
= Exp( + × + 2 × )
= Exp()
= \$

Bottom border of price channel:

Exp(Y)
= Exp(a + b × X – 2 × s)
= Exp(a + b × – 2 × s)
= Exp( + × – 2 × )
= Exp()
= \$

### Secondary Trend

Start date:
End date:

a =

b =

s =

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × ) – 1
=

Exp(4 × s) – 1
= Exp(4 × ) – 1
=

#### April 28, 2022 calculations

Top border of price channel:

Exp(Y)
= Exp(a + b × X + 2 × s)
= Exp(a + b × + 2 × s)
= Exp( + × + 2 × )
= Exp()
= \$

Bottom border of price channel:

Exp(Y)
= Exp(a + b × X – 2 × s)
= Exp(a + b × – 2 × s)
= Exp( + × – 2 × )
= Exp()
= \$

#### December 8, 2023 calculations

Top border of price channel:

Exp(Y)
= Exp(a + b × X + 2 × s)
= Exp(a + b × + 2 × s)
= Exp( + × + 2 × )
= Exp()
= \$

Bottom border of price channel:

Exp(Y)
= Exp(a + b × X – 2 × s)
= Exp(a + b × – 2 × s)
= Exp( + × – 2 × )
= Exp()
= \$