Stock Price Trends

EZCORP Inc (EZPW)

EZCORP, Inc. offers pawn loans in the United States and Latin America. The company is headquartered in Austin, Texas.

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 20.04% per annum.
  • EZPW price at the close of May 17, 2024 was $10.23 and was inside the primary price channel.
  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 76.97% per annum.
  • EZPW price at the close of May 17, 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 EZPW 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: February 4, 2020
End date: May 17, 2024

a = 1.4325

b = 0.0005

s = 0.1123

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0005) – 1
= 20.04%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.1123) – 1
= 56.70%

February 4, 2020 calculations

Top border of price channel:

Exp(Y179)
= Exp(a + b × X179 + 2 × s)
= Exp(a + b × 260 + 2 × s)
= Exp(1.4325 + 0.0005 × 260 + 2 × 0.1123)
= Exp(1.7872)
= $5.97

Bottom border of price channel:

Exp(Y179)
= Exp(a + b × X179 – 2 × s)
= Exp(a + b × 260 – 2 × s)
= Exp(1.4325 + 0.0005 × 260 – 2 × 0.1123)
= Exp(1.3380)
= $3.81

May 17, 2024 calculations

Top border of price channel:

Exp(Y1,258)
= Exp(a + b × X1,258 + 2 × s)
= Exp(a + b × 1,824 + 2 × s)
= Exp(1.4325 + 0.0005 × 1,824 + 2 × 0.1123)
= Exp(2.5699)
= $13.06

Bottom border of price channel:

Exp(Y1,258)
= Exp(a + b × X1,258 – 2 × s)
= Exp(a + b × 1,824 – 2 × s)
= Exp(1.4325 + 0.0005 × 1,824 – 2 × 0.1123)
= Exp(2.1207)
= $8.34

Description

  • The primary trend is increasing.
  • The growth rate of the primary trend is 20.04% per annum.
  • EZPW price at the close of May 17, 2024 was $10.23 and was inside the primary price channel.

Secondary Trend

Start date: September 12, 2023
End date: May 17, 2024

a = -0.4302

b = 0.0016

s = 0.0509

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0016) – 1
= 76.97%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0509) – 1
= 22.56%

September 12, 2023 calculations

Top border of price channel:

Exp(Y1,086)
= Exp(a + b × X1,086 + 2 × s)
= Exp(a + b × 1,576 + 2 × s)
= Exp(-0.4302 + 0.0016 × 1,576 + 2 × 0.0509)
= Exp(2.1363)
= $8.47

Bottom border of price channel:

Exp(Y1,086)
= Exp(a + b × X1,086 – 2 × s)
= Exp(a + b × 1,576 – 2 × s)
= Exp(-0.4302 + 0.0016 × 1,576 – 2 × 0.0509)
= Exp(1.9328)
= $6.91

May 17, 2024 calculations

Top border of price channel:

Exp(Y1,258)
= Exp(a + b × X1,258 + 2 × s)
= Exp(a + b × 1,824 + 2 × s)
= Exp(-0.4302 + 0.0016 × 1,824 + 2 × 0.0509)
= Exp(2.5241)
= $12.48

Bottom border of price channel:

Exp(Y1,258)
= Exp(a + b × X1,258 – 2 × s)
= Exp(a + b × 1,824 – 2 × s)
= Exp(-0.4302 + 0.0016 × 1,824 – 2 × 0.0509)
= Exp(2.3207)
= $10.18

Description

  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 76.97% per annum.
  • EZPW price at the close of May 17, 2024 was inside the secondary price channel.