Stock Price Trends

Federal Signal Corporation (FSS)

Federal Signal Corporation designs, manufactures, and supplies a suite of integrated products and solutions for municipal, government, industrial, and commercial customers in the United States, Canada, Europe, and internationally. The company is headquartered in Oak Brook, Illinois.

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 55.56% per annum.
  • FSS price at the close of July 25, 2024 was $96.38 and was inside the primary price channel.
  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 37.87% per annum.
  • FSS price at the close of July 25, 2024 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 FSS 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: March 1, 2022
End date: July 25, 2024

a = 2.3202

b = 0.0012

s = 0.0560

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0012) – 1
= 55.56%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0560) – 1
= 25.13%

March 1, 2022 calculations

Top border of price channel:

Exp(Y654)
= Exp(a + b × X654 + 2 × s)
= Exp(a + b × 949 + 2 × s)
= Exp(2.3202 + 0.0012 × 949 + 2 × 0.0560)
= Exp(3.5811)
= $35.91

Bottom border of price channel:

Exp(Y654)
= Exp(a + b × X654 – 2 × s)
= Exp(a + b × 949 – 2 × s)
= Exp(2.3202 + 0.0012 × 949 – 2 × 0.0560)
= Exp(3.3569)
= $28.70

July 25, 2024 calculations

Top border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 + 2 × s)
= Exp(a + b × 1,826 + 2 × s)
= Exp(2.3202 + 0.0012 × 1,826 + 2 × 0.0560)
= Exp(4.6428)
= $103.83

Bottom border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(2.3202 + 0.0012 × 1,826 – 2 × 0.0560)
= Exp(4.4186)
= $82.98

Description

  • The primary trend is increasing.
  • The growth rate of the primary trend is 55.56% per annum.
  • FSS price at the close of July 25, 2024 was $96.38 and was inside the primary price channel.

Secondary Trend

Start date: December 11, 2023
End date: July 25, 2024

a = 2.8980

b = 0.0009

s = 0.0320

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0009) – 1
= 37.87%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0320) – 1
= 13.64%

December 11, 2023 calculations

Top border of price channel:

Exp(Y1,102)
= Exp(a + b × X1,102 + 2 × s)
= Exp(a + b × 1,599 + 2 × s)
= Exp(2.8980 + 0.0009 × 1,599 + 2 × 0.0320)
= Exp(4.3690)
= $78.96

Bottom border of price channel:

Exp(Y1,102)
= Exp(a + b × X1,102 – 2 × s)
= Exp(a + b × 1,599 – 2 × s)
= Exp(2.8980 + 0.0009 × 1,599 – 2 × 0.0320)
= Exp(4.2411)
= $69.48

July 25, 2024 calculations

Top border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 + 2 × s)
= Exp(a + b × 1,826 + 2 × s)
= Exp(2.8980 + 0.0009 × 1,826 + 2 × 0.0320)
= Exp(4.5687)
= $96.42

Bottom border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(2.8980 + 0.0009 × 1,826 – 2 × 0.0320)
= Exp(4.4408)
= $84.84

Description

  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 37.87% per annum.
  • FSS price at the close of July 25, 2024 was inside the secondary price channel.