Stock Price Trends

AAR Corp (AIR)

AAR Corp. The company is headquartered in Wood Dale, 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 144.32% per annum.
  • AIR price at the close of May 8, 2024 was $71.99 and was lower than the bottom border of the primary price channel by $373.58 (83.84%). This indicates a possible reversal in the primary trend direction.
  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 21.50% per annum.
  • AIR price at the close of May 8, 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 AIR 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 12, 2020
End date: June 25, 2021

a = 1.9429

b = 0.0024

s = 0.1563

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0024) – 1
= 144.32%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.1563) – 1
= 86.85%

March 12, 2020 calculations

Top border of price channel:

Exp(Y212)
= Exp(a + b × X212 + 2 × s)
= Exp(a + b × 308 + 2 × s)
= Exp(1.9429 + 0.0024 × 308 + 2 × 0.1563)
= Exp(3.0093)
= $20.27

Bottom border of price channel:

Exp(Y212)
= Exp(a + b × X212 – 2 × s)
= Exp(a + b × 308 – 2 × s)
= Exp(1.9429 + 0.0024 × 308 – 2 × 0.1563)
= Exp(2.3842)
= $10.85

June 25, 2021 calculations

Top border of price channel:

Exp(Y537)
= Exp(a + b × X537 + 2 × s)
= Exp(a + b × 778 + 2 × s)
= Exp(1.9429 + 0.0024 × 778 + 2 × 0.1563)
= Exp(4.1596)
= $64.05

Bottom border of price channel:

Exp(Y537)
= Exp(a + b × X537 – 2 × s)
= Exp(a + b × 778 – 2 × s)
= Exp(1.9429 + 0.0024 × 778 – 2 × 0.1563)
= Exp(3.5344)
= $34.28

Description

  • The primary trend is increasing.
  • The growth rate of the primary trend is 144.32% per annum.
  • AIR price at the close of May 8, 2024 was $71.99 and was lower than the bottom border of the primary price channel by $373.58 (83.84%). This indicates a possible reversal in the primary trend direction.

Secondary Trend

Start date: November 23, 2020
End date: May 8, 2024

a = 3.2010

b = 0.0005

s = 0.0974

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0005) – 1
= 21.50%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0974) – 1
= 47.61%

November 23, 2020 calculations

Top border of price channel:

Exp(Y390)
= Exp(a + b × X390 + 2 × s)
= Exp(a + b × 564 + 2 × s)
= Exp(3.2010 + 0.0005 × 564 + 2 × 0.0974)
= Exp(3.6966)
= $40.31

Bottom border of price channel:

Exp(Y390)
= Exp(a + b × X390 – 2 × s)
= Exp(a + b × 564 – 2 × s)
= Exp(3.2010 + 0.0005 × 564 – 2 × 0.0974)
= Exp(3.3072)
= $27.31

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(3.2010 + 0.0005 × 1,826 + 2 × 0.0974)
= Exp(4.3700)
= $79.05

Bottom border of price channel:

Exp(Y1,258)
= Exp(a + b × X1,258 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(3.2010 + 0.0005 × 1,826 – 2 × 0.0974)
= Exp(3.9806)
= $53.55

Description

  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 21.50% per annum.
  • AIR price at the close of May 8, 2024 was inside the secondary price channel.