Stock Price Trends

FirstCash Inc (FCFS)

FirstCash, Inc., operates retail pawn shops in the United States and Latin America. The company is headquartered in Fort Worth, 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 30.37% per annum.
  • FCFS price at the close of November 20, 2024 was $105.20 and was lower than the bottom border of the primary price channel by $17.89 (14.53%). This indicates a possible reversal in the primary trend direction.
  • The secondary trend is decreasing.
  • The decline rate of the secondary trend is 9.68% per annum.
  • FCFS price at the close of November 20, 2024 was inside the secondary price channel.
  • 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 FCFS 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: November 16, 2021
End date: June 5, 2024

a = 3.6045

b = 0.0007

s = 0.0592

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0007) – 1
= 30.37%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0592) – 1
= 26.74%

November 16, 2021 calculations

Top border of price channel:

Exp(Y500)
= Exp(a + b × X500 + 2 × s)
= Exp(a + b × 726 + 2 × s)
= Exp(3.6045 + 0.0007 × 726 + 2 × 0.0592)
= Exp(4.2506)
= $70.14

Bottom border of price channel:

Exp(Y500)
= Exp(a + b × X500 – 2 × s)
= Exp(a + b × 726 – 2 × s)
= Exp(3.6045 + 0.0007 × 726 – 2 × 0.0592)
= Exp(4.0136)
= $55.35

June 5, 2024 calculations

Top border of price channel:

Exp(Y1,140)
= Exp(a + b × X1,140 + 2 × s)
= Exp(a + b × 1,658 + 2 × s)
= Exp(3.6045 + 0.0007 × 1,658 + 2 × 0.0592)
= Exp(4.9278)
= $138.07

Bottom border of price channel:

Exp(Y1,140)
= Exp(a + b × X1,140 – 2 × s)
= Exp(a + b × 1,658 – 2 × s)
= Exp(3.6045 + 0.0007 × 1,658 – 2 × 0.0592)
= Exp(4.6908)
= $108.94

Description

  • The primary trend is increasing.
  • The growth rate of the primary trend is 30.37% per annum.
  • FCFS price at the close of November 20, 2024 was $105.20 and was lower than the bottom border of the primary price channel by $17.89 (14.53%). This indicates a possible reversal in the primary trend direction.

Secondary Trend

Start date: January 22, 2024
End date: November 20, 2024

a = 5.2043

b = -0.0003

s = 0.0486

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × -0.0003) – 1
= -9.68%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0486) – 1
= 21.45%

January 22, 2024 calculations

Top border of price channel:

Exp(Y1,046)
= Exp(a + b × X1,046 + 2 × s)
= Exp(a + b × 1,523 + 2 × s)
= Exp(5.2043 + -0.0003 × 1,523 + 2 × 0.0486)
= Exp(4.8768)
= $131.21

Bottom border of price channel:

Exp(Y1,046)
= Exp(a + b × X1,046 – 2 × s)
= Exp(a + b × 1,523 – 2 × s)
= Exp(5.2043 + -0.0003 × 1,523 – 2 × 0.0486)
= Exp(4.6824)
= $108.03

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(5.2043 + -0.0003 × 1,826 + 2 × 0.0486)
= Exp(4.7923)
= $120.58

Bottom border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(5.2043 + -0.0003 × 1,826 – 2 × 0.0486)
= Exp(4.5980)
= $99.28

Description

  • The secondary trend is decreasing.
  • The decline rate of the secondary trend is 9.68% per annum.
  • FCFS price at the close of November 20, 2024 was inside the secondary price channel.