Stock Price Trends

Dollar General Corporation (DG)

Dollar General Corporation is an American chain of variety stores headquartered in Goodlettsville, Tennessee.

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 41.47% per annum.
  • DG price at the close of April 30, 2024 was $139.19 and was higher than the top border of the primary price channel by $4.63 (3.44%). This indicates a possible reversal in the primary trend direction.
  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 99.95% per annum.
  • DG price at the close of April 30, 2024 was lower than the bottom border of the secondary price channel by $12.86 (8.46%). This indicates a possible reversal in the secondary trend direction.
  • 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 DG 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: June 21, 2022
End date: February 15, 2024

a = 7.3362

b = -0.0015

s = 0.1229

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × -0.0015) – 1
= -41.47%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.1229) – 1
= 63.49%

June 21, 2022 calculations

Top border of price channel:

Exp(Y791)
= Exp(a + b × X791 + 2 × s)
= Exp(a + b × 1,147 + 2 × s)
= Exp(7.3362 + -0.0015 × 1,147 + 2 × 0.1229)
= Exp(5.8986)
= $364.52

Bottom border of price channel:

Exp(Y791)
= Exp(a + b × X791 – 2 × s)
= Exp(a + b × 1,147 – 2 × s)
= Exp(7.3362 + -0.0015 × 1,147 – 2 × 0.1229)
= Exp(5.4070)
= $222.96

February 15, 2024 calculations

Top border of price channel:

Exp(Y1,207)
= Exp(a + b × X1,207 + 2 × s)
= Exp(a + b × 1,751 + 2 × s)
= Exp(7.3362 + -0.0015 × 1,751 + 2 × 0.1229)
= Exp(5.0121)
= $150.22

Bottom border of price channel:

Exp(Y1,207)
= Exp(a + b × X1,207 – 2 × s)
= Exp(a + b × 1,751 – 2 × s)
= Exp(7.3362 + -0.0015 × 1,751 – 2 × 0.1229)
= Exp(4.5205)
= $91.88

Description

  • The primary trend is decreasing.
  • The decline rate of the primary trend is 41.47% per annum.
  • DG price at the close of April 30, 2024 was $139.19 and was higher than the top border of the primary price channel by $4.63 (3.44%). This indicates a possible reversal in the primary trend direction.

Secondary Trend

Start date: September 14, 2023
End date: April 11, 2024

a = 1.6340

b = 0.0019

s = 0.0381

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0019) – 1
= 99.95%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0381) – 1
= 16.46%

September 14, 2023 calculations

Top border of price channel:

Exp(Y1,101)
= Exp(a + b × X1,101 + 2 × s)
= Exp(a + b × 1,597 + 2 × s)
= Exp(1.6340 + 0.0019 × 1,597 + 2 × 0.0381)
= Exp(4.7419)
= $114.65

Bottom border of price channel:

Exp(Y1,101)
= Exp(a + b × X1,101 – 2 × s)
= Exp(a + b × 1,597 – 2 × s)
= Exp(1.6340 + 0.0019 × 1,597 – 2 × 0.0381)
= Exp(4.5895)
= $98.45

April 11, 2024 calculations

Top border of price channel:

Exp(Y1,245)
= Exp(a + b × X1,245 + 2 × s)
= Exp(a + b × 1,807 + 2 × s)
= Exp(1.6340 + 0.0019 × 1,807 + 2 × 0.0381)
= Exp(5.1406)
= $170.81

Bottom border of price channel:

Exp(Y1,245)
= Exp(a + b × X1,245 – 2 × s)
= Exp(a + b × 1,807 – 2 × s)
= Exp(1.6340 + 0.0019 × 1,807 – 2 × 0.0381)
= Exp(4.9882)
= $146.67

Description

  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 99.95% per annum.
  • DG price at the close of April 30, 2024 was lower than the bottom border of the secondary price channel by $12.86 (8.46%). This indicates a possible reversal in the secondary trend direction.