Stock Price Trends

Dollar Tree Inc (DLTR)

Dollar Tree is an American chain of discount variety stores that sells items for $1 or less, headquartered in Chesapeake, Virginia.

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 11.79% per annum.
  • DLTR price at the close of May 7, 2024 was $121.67 and was inside the primary price channel.
  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 38.19% per annum.
  • DLTR price at the close of May 7, 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 DLTR 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 8, 2022
End date: May 7, 2024

a = 5.4447

b = -0.0003

s = 0.0887

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × -0.0003) – 1
= -11.79%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0887) – 1
= 42.61%

March 8, 2022 calculations

Top border of price channel:

Exp(Y714)
= Exp(a + b × X714 + 2 × s)
= Exp(a + b × 1,035 + 2 × s)
= Exp(5.4447 + -0.0003 × 1,035 + 2 × 0.0887)
= Exp(5.2664)
= $193.72

Bottom border of price channel:

Exp(Y714)
= Exp(a + b × X714 – 2 × s)
= Exp(a + b × 1,035 – 2 × s)
= Exp(5.4447 + -0.0003 × 1,035 – 2 × 0.0887)
= Exp(4.9114)
= $135.83

May 7, 2024 calculations

Top border of price channel:

Exp(Y1,258)
= Exp(a + b × X1,258 + 2 × s)
= Exp(a + b × 1,826 + 2 × s)
= Exp(5.4447 + -0.0003 × 1,826 + 2 × 0.0887)
= Exp(4.9945)
= $147.60

Bottom border of price channel:

Exp(Y1,258)
= Exp(a + b × X1,258 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(5.4447 + -0.0003 × 1,826 – 2 × 0.0887)
= Exp(4.6395)
= $103.50

Description

  • The primary trend is decreasing.
  • The decline rate of the primary trend is 11.79% per annum.
  • DLTR price at the close of May 7, 2024 was $121.67 and was inside the primary price channel.

Secondary Trend

Start date: September 1, 2023
End date: May 7, 2024

a = 3.3185

b = 0.0009

s = 0.0792

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0009) – 1
= 38.19%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0792) – 1
= 37.26%

September 1, 2023 calculations

Top border of price channel:

Exp(Y1,088)
= Exp(a + b × X1,088 + 2 × s)
= Exp(a + b × 1,577 + 2 × s)
= Exp(3.3185 + 0.0009 × 1,577 + 2 × 0.0792)
= Exp(4.8745)
= $130.91

Bottom border of price channel:

Exp(Y1,088)
= Exp(a + b × X1,088 – 2 × s)
= Exp(a + b × 1,577 – 2 × s)
= Exp(3.3185 + 0.0009 × 1,577 – 2 × 0.0792)
= Exp(4.5578)
= $95.37

May 7, 2024 calculations

Top border of price channel:

Exp(Y1,258)
= Exp(a + b × X1,258 + 2 × s)
= Exp(a + b × 1,826 + 2 × s)
= Exp(3.3185 + 0.0009 × 1,826 + 2 × 0.0792)
= Exp(5.0952)
= $163.24

Bottom border of price channel:

Exp(Y1,258)
= Exp(a + b × X1,258 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(3.3185 + 0.0009 × 1,826 – 2 × 0.0792)
= Exp(4.7785)
= $118.92

Description

  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 38.19% per annum.
  • DLTR price at the close of May 7, 2024 was inside the secondary price channel.