Stock Price Trends

Copart Inc (CPRT)

Copart, Inc. or simply Copart is a global provider of online vehicle auction and remarketing services to automotive resellers such as insurance, rental car, fleet and finance companies in 11 countries: the US, Canada, the UK, Germany, Ireland, Brazil, Spain, Dubai, Bahrain, Oman and Finland.

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 47.38% per annum.
  • CPRT price at the close of July 25, 2024 was $50.43 and was lower than the bottom border of the primary price channel by $4.18 (7.66%). This indicates a possible reversal in the primary trend direction.
  • The secondary trend is decreasing.
  • The decline rate of the secondary trend is 15.61% per annum.
  • CPRT price at the close of July 25, 2024 was lower than the bottom border of the secondary price channel by $0.35 (0.69%).
  • The direction of the secondary trend is opposite to the direction of the primary trend. This indicates a possible reversal in the direction of the primary trend.

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 CPRT 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: May 5, 2022
End date: May 24, 2024

a = 2.1829

b = 0.0011

s = 0.0614

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0011) – 1
= 47.38%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0614) – 1
= 27.85%

May 5, 2022 calculations

Top border of price channel:

Exp(Y700)
= Exp(a + b × X700 + 2 × s)
= Exp(a + b × 1,014 + 2 × s)
= Exp(2.1829 + 0.0011 × 1,014 + 2 × 0.0614)
= Exp(3.3832)
= $29.46

Bottom border of price channel:

Exp(Y700)
= Exp(a + b × X700 – 2 × s)
= Exp(a + b × 1,014 – 2 × s)
= Exp(2.1829 + 0.0011 × 1,014 – 2 × 0.0614)
= Exp(3.1375)
= $23.05

May 24, 2024 calculations

Top border of price channel:

Exp(Y1,216)
= Exp(a + b × X1,216 + 2 × s)
= Exp(a + b × 1,764 + 2 × s)
= Exp(2.1829 + 0.0011 × 1,764 + 2 × 0.0614)
= Exp(4.1801)
= $65.37

Bottom border of price channel:

Exp(Y1,216)
= Exp(a + b × X1,216 – 2 × s)
= Exp(a + b × 1,764 – 2 × s)
= Exp(2.1829 + 0.0011 × 1,764 – 2 × 0.0614)
= Exp(3.9344)
= $51.13

Description

  • The primary trend is increasing.
  • The growth rate of the primary trend is 47.38% per annum.
  • CPRT price at the close of July 25, 2024 was $50.43 and was lower than the bottom border of the primary price channel by $4.18 (7.66%). This indicates a possible reversal in the primary trend direction.

Secondary Trend

Start date: March 7, 2024
End date: July 25, 2024

a = 4.8175

b = -0.0005

s = 0.0204

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × -0.0005) – 1
= -15.61%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0204) – 1
= 8.50%

March 7, 2024 calculations

Top border of price channel:

Exp(Y1,161)
= Exp(a + b × X1,161 + 2 × s)
= Exp(a + b × 1,686 + 2 × s)
= Exp(4.8175 + -0.0005 × 1,686 + 2 × 0.0204)
= Exp(4.0742)
= $58.80

Bottom border of price channel:

Exp(Y1,161)
= Exp(a + b × X1,161 – 2 × s)
= Exp(a + b × 1,686 – 2 × s)
= Exp(4.8175 + -0.0005 × 1,686 – 2 × 0.0204)
= Exp(3.9926)
= $54.20

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(4.8175 + -0.0005 × 1,826 + 2 × 0.0204)
= Exp(4.0091)
= $55.10

Bottom border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(4.8175 + -0.0005 × 1,826 – 2 × 0.0204)
= Exp(3.9275)
= $50.78

Description

  • The secondary trend is decreasing.
  • The decline rate of the secondary trend is 15.61% per annum.
  • CPRT price at the close of July 25, 2024 was lower than the bottom border of the secondary price channel by $0.35 (0.69%).