# Parker-Hannifin Corporation (PH)

parker hannifin is a fortune 250 global leader in motion and control technologies. for 100 years the company has engineered the success of its customers in a wide range of diversified industrial and aerospace markets. learn more at www.parker.com, www.phstock, or on twitter @parkerhannifin. executive officers: thomas l. williams, chief executive officer lee c. banks, chief operating officer cathy suever, executive vice president - finance & administration and chief financial officer subscribe to parker's technology blog at http://blog.parker.com follow us: twitter at http://twitter.com/parkerhannifin facebook at http://facebook.com/parkerhannifin youtube channel http://youtube.com/parkervideo the company's products are vital to virtually everything that moves or requires control, including the manufacture and processing of raw materials, durable goods, infrastructure development and all forms of transport. key technology areas are aerospace, climate control, electromechanical, filtrati

## 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 43.81% per annum.
- PH price at the close of November 28, 2023 was $426.53 and was inside the primary price channel.
- The secondary trend is increasing.
- The growth rate of the secondary trend is 3.13% per annum.
- PH price at the close of November 28, 2023 was inside the secondary price channel.

### Linear Regression Model

Model equation:

Y_{i} = α + β × X_{i} + ε_{i}

Top border of price channel:

Exp(Y_{i}) = Exp(a + b × X_{i} + 2 × s)

Bottom border of price channel:

Exp(Y_{i}) = Exp(a + b × X_{i} – 2 × s)

where:

i - observation number

Y_{i} - natural logarithm of PH price

X_{i} - time index, 1 day interval

σ - standard deviation of ε_{i}

a - estimator of α

b - estimator of β

s - estimator of σ

Exp() - calculates the exponent of e

### Primary Trend

Start date: June 10, 2022

End date: November 28, 2023

a = 4.2371

b = 0.0010

s = 0.0615

Annual growth rate:

Exp(365 × b) – 1

= Exp(365 × 0.0010) – 1

= 43.81%

Price channel spread:

Exp(4 × s) – 1

= Exp(4 × 0.0615) – 1

= 27.87%

#### June 10, 2022 calculations

Top border of price channel:

Exp(Y_{888})

= Exp(a + b × X_{888} + 2 × s)

= Exp(a + b × 1,289 + 2 × s)

= Exp(4.2371 + 0.0010 × 1,289 + 2 × 0.0615)

= Exp(5.6432)

= $282.36

Bottom border of price channel:

Exp(Y_{888})

= Exp(a + b × X_{888} – 2 × s)

= Exp(a + b × 1,289 – 2 × s)

= Exp(4.2371 + 0.0010 × 1,289 – 2 × 0.0615)

= Exp(5.3973)

= $220.81

#### November 28, 2023 calculations

Top border of price channel:

Exp(Y_{1,256})

= Exp(a + b × X_{1,256} + 2 × s)

= Exp(a + b × 1,825 + 2 × s)

= Exp(4.2371 + 0.0010 × 1,825 + 2 × 0.0615)

= Exp(6.1767)

= $481.41

Bottom border of price channel:

Exp(Y_{1,256})

= Exp(a + b × X_{1,256} – 2 × s)

= Exp(a + b × 1,825 – 2 × s)

= Exp(4.2371 + 0.0010 × 1,825 – 2 × 0.0615)

= Exp(5.9309)

= $376.48

### Secondary Trend

Start date: June 29, 2023

End date: November 28, 2023

a = 5.8452

b = 0.0001

s = 0.0420

Annual growth rate:

Exp(365 × b) – 1

= Exp(365 × 0.0001) – 1

= 3.13%

Price channel spread:

Exp(4 × s) – 1

= Exp(4 × 0.0420) – 1

= 18.30%

#### June 29, 2023 calculations

Top border of price channel:

Exp(Y_{1,151})

= Exp(a + b × X_{1,151} + 2 × s)

= Exp(a + b × 1,673 + 2 × s)

= Exp(5.8452 + 0.0001 × 1,673 + 2 × 0.0420)

= Exp(6.0703)

= $432.81

Bottom border of price channel:

Exp(Y_{1,151})

= Exp(a + b × X_{1,151} – 2 × s)

= Exp(a + b × 1,673 – 2 × s)

= Exp(5.8452 + 0.0001 × 1,673 – 2 × 0.0420)

= Exp(5.9023)

= $365.86

#### November 28, 2023 calculations

Top border of price channel:

Exp(Y_{1,256})

= Exp(a + b × X_{1,256} + 2 × s)

= Exp(a + b × 1,825 + 2 × s)

= Exp(5.8452 + 0.0001 × 1,825 + 2 × 0.0420)

= Exp(6.0831)

= $438.40

Bottom border of price channel:

Exp(Y_{1,256})

= Exp(a + b × X_{1,256} – 2 × s)

= Exp(a + b × 1,825 – 2 × s)

= Exp(5.8452 + 0.0001 × 1,825 – 2 × 0.0420)

= Exp(5.9151)

= $370.58