# Westinghouse Air Brake Technologies Corporation (WAB)

wabtec corporation is a transportation/trucking/railroad company headquarters at 1001 airbrake ave, wilmerding, pa 15148

## 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 127.33% per annum.
- WAB price at the close of February 16, 2024 was $134.28 and was inside the primary price channel.
- The secondary trend is increasing.
- The growth rate of the secondary trend is 95.37% per annum.
- WAB price at the close of February 16, 2024 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 WAB 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: October 3, 2023

End date: February 16, 2024

a = 0.8277

b = 0.0022

s = 0.0225

Annual growth rate:

Exp(365 × b) – 1

= Exp(365 × 0.0022) – 1

= 127.33%

Price channel spread:

Exp(4 × s) – 1

= Exp(4 × 0.0225) – 1

= 9.41%

#### October 3, 2023 calculations

Top border of price channel:

Exp(Y_{1,164})

= Exp(a + b × X_{1,164} + 2 × s)

= Exp(a + b × 1,687 + 2 × s)

= Exp(0.8277 + 0.0022 × 1,687 + 2 × 0.0225)

= Exp(4.6684)

= $106.52

Bottom border of price channel:

Exp(Y_{1,164})

= Exp(a + b × X_{1,164} – 2 × s)

= Exp(a + b × 1,687 – 2 × s)

= Exp(0.8277 + 0.0022 × 1,687 – 2 × 0.0225)

= Exp(4.5784)

= $97.36

#### February 16, 2024 calculations

Top border of price channel:

Exp(Y_{1,258})

= Exp(a + b × X_{1,258} + 2 × s)

= Exp(a + b × 1,823 + 2 × s)

= Exp(0.8277 + 0.0022 × 1,823 + 2 × 0.0225)

= Exp(4.9744)

= $144.66

Bottom border of price channel:

Exp(Y_{1,258})

= Exp(a + b × X_{1,258} – 2 × s)

= Exp(a + b × 1,823 – 2 × s)

= Exp(0.8277 + 0.0022 × 1,823 – 2 × 0.0225)

= Exp(4.8844)

= $132.22

#### Description

- The primary trend is increasing.
- The growth rate of the primary trend is 127.33% per annum.
- WAB price at the close of February 16, 2024 was $134.28 and was inside the primary price channel.

### Secondary Trend

Start date: November 14, 2023

End date: February 16, 2024

a = 1.5701

b = 0.0018

s = 0.0133

Annual growth rate:

Exp(365 × b) – 1

= Exp(365 × 0.0018) – 1

= 95.37%

Price channel spread:

Exp(4 × s) – 1

= Exp(4 × 0.0133) – 1

= 5.44%

#### November 14, 2023 calculations

Top border of price channel:

Exp(Y_{1,194})

= Exp(a + b × X_{1,194} + 2 × s)

= Exp(a + b × 1,729 + 2 × s)

= Exp(1.5701 + 0.0018 × 1,729 + 2 × 0.0133)

= Exp(4.7692)

= $117.82

Bottom border of price channel:

Exp(Y_{1,194})

= Exp(a + b × X_{1,194} – 2 × s)

= Exp(a + b × 1,729 – 2 × s)

= Exp(1.5701 + 0.0018 × 1,729 – 2 × 0.0133)

= Exp(4.7162)

= $111.74

#### February 16, 2024 calculations

Top border of price channel:

Exp(Y_{1,258})

= Exp(a + b × X_{1,258} + 2 × s)

= Exp(a + b × 1,823 + 2 × s)

= Exp(1.5701 + 0.0018 × 1,823 + 2 × 0.0133)

= Exp(4.9416)

= $140.00

Bottom border of price channel:

Exp(Y_{1,258})

= Exp(a + b × X_{1,258} – 2 × s)

= Exp(a + b × 1,823 – 2 × s)

= Exp(1.5701 + 0.0018 × 1,823 – 2 × 0.0133)

= Exp(4.8886)

= $132.77

#### Description

- The secondary trend is increasing.
- The growth rate of the secondary trend is 95.37% per annum.
- WAB price at the close of February 16, 2024 was inside the secondary price channel.