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 July 26, 2024 was $66.62 and was lower than the bottom border of the primary price channel by $473.99 (87.68%). This indicates a possible reversal in the primary trend direction.
  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 22.11% per annum.
  • AIR price at the close of July 26, 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 = 2.1412

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(Y157)
= Exp(a + b × X157 + 2 × s)
= Exp(a + b × 227 + 2 × s)
= Exp(2.1412 + 0.0024 × 227 + 2 × 0.1563)
= Exp(3.0093)
= $20.27

Bottom border of price channel:

Exp(Y157)
= Exp(a + b × X157 – 2 × s)
= Exp(a + b × 227 – 2 × s)
= Exp(2.1412 + 0.0024 × 227 – 2 × 0.1563)
= Exp(2.3842)
= $10.85

June 25, 2021 calculations

Top border of price channel:

Exp(Y482)
= Exp(a + b × X482 + 2 × s)
= Exp(a + b × 697 + 2 × s)
= Exp(2.1412 + 0.0024 × 697 + 2 × 0.1563)
= Exp(4.1596)
= $64.05

Bottom border of price channel:

Exp(Y482)
= Exp(a + b × X482 – 2 × s)
= Exp(a + b × 697 – 2 × s)
= Exp(2.1412 + 0.0024 × 697 – 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 July 26, 2024 was $66.62 and was lower than the bottom border of the primary price channel by $473.99 (87.68%). This indicates a possible reversal in the primary trend direction.

Secondary Trend

Start date: November 23, 2020
End date: July 26, 2024

a = 3.2316

b = 0.0005

s = 0.0957

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0005) – 1
= 22.11%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0957) – 1
= 46.65%

November 23, 2020 calculations

Top border of price channel:

Exp(Y335)
= Exp(a + b × X335 + 2 × s)
= Exp(a + b × 483 + 2 × s)
= Exp(3.2316 + 0.0005 × 483 + 2 × 0.0957)
= Exp(3.6874)
= $39.94

Bottom border of price channel:

Exp(Y335)
= Exp(a + b × X335 – 2 × s)
= Exp(a + b × 483 – 2 × s)
= Exp(3.2316 + 0.0005 × 483 – 2 × 0.0957)
= Exp(3.3046)
= $27.24

July 26, 2024 calculations

Top border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 + 2 × s)
= Exp(a + b × 1,824 + 2 × s)
= Exp(3.2316 + 0.0005 × 1,824 + 2 × 0.0957)
= Exp(4.4214)
= $83.21

Bottom border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,824 – 2 × s)
= Exp(3.2316 + 0.0005 × 1,824 – 2 × 0.0957)
= Exp(4.0385)
= $56.74

Description

  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 22.11% per annum.
  • AIR price at the close of July 26, 2024 was inside the secondary price channel.