Stock Price Trends

Advance Auto Parts Inc (AAP)

Advance Auto Parts, Inc. (Advance) is an American automotive aftermarket parts provider. Headquartered in Raleigh, North Carolina, it serves both professional installer and do-it-yourself (DIY) customers.

Stock Price Trends

Stock price trends estimated using linear regression.

Key facts

  • The primary trend is decreasing.
  • The decline rate of the primary trend is 44.61% per annum.
  • AAP price at the close of November 20, 2024 was $38.63 and was inside the primary price channel.
  • The secondary trend is decreasing.
  • The decline rate of the secondary trend is 73.51% per annum.
  • AAP price at the close of November 20, 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 AAP 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: October 18, 2021
End date: November 20, 2024

a = 6.6618

b = -0.0016

s = 0.1943

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × -0.0016) – 1
= -44.61%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.1943) – 1
= 117.50%

October 18, 2021 calculations

Top border of price channel:

Exp(Y479)
= Exp(a + b × X479 + 2 × s)
= Exp(a + b × 697 + 2 × s)
= Exp(6.6618 + -0.0016 × 697 + 2 × 0.1943)
= Exp(5.9220)
= $373.17

Bottom border of price channel:

Exp(Y479)
= Exp(a + b × X479 – 2 × s)
= Exp(a + b × 697 – 2 × s)
= Exp(6.6618 + -0.0016 × 697 – 2 × 0.1943)
= Exp(5.1450)
= $171.58

November 20, 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(6.6618 + -0.0016 × 1,826 + 2 × 0.1943)
= Exp(4.0945)
= $60.01

Bottom border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(6.6618 + -0.0016 × 1,826 – 2 × 0.1943)
= Exp(3.3175)
= $27.59

Description

  • The primary trend is decreasing.
  • The decline rate of the primary trend is 44.61% per annum.
  • AAP price at the close of November 20, 2024 was $38.63 and was inside the primary price channel.

Secondary Trend

Start date: March 15, 2024
End date: November 20, 2024

a = 10.2175

b = -0.0036

s = 0.0825

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × -0.0036) – 1
= -73.51%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0825) – 1
= 39.10%

March 15, 2024 calculations

Top border of price channel:

Exp(Y1,084)
= Exp(a + b × X1,084 + 2 × s)
= Exp(a + b × 1,576 + 2 × s)
= Exp(10.2175 + -0.0036 × 1,576 + 2 × 0.0825)
= Exp(4.6473)
= $104.30

Bottom border of price channel:

Exp(Y1,084)
= Exp(a + b × X1,084 – 2 × s)
= Exp(a + b × 1,576 – 2 × s)
= Exp(10.2175 + -0.0036 × 1,576 – 2 × 0.0825)
= Exp(4.3173)
= $74.99

November 20, 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(10.2175 + -0.0036 × 1,826 + 2 × 0.0825)
= Exp(3.7375)
= $41.99

Bottom border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(10.2175 + -0.0036 × 1,826 – 2 × 0.0825)
= Exp(3.4075)
= $30.19

Description

  • The secondary trend is decreasing.
  • The decline rate of the secondary trend is 73.51% per annum.
  • AAP price at the close of November 20, 2024 was inside the secondary price channel.