Ross Stores Inc (ROST)
Ross Stores, Inc., operating under the brand name Ross Dress for Less, is an American chain of discount department stores headquartered in Dublin, California.
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 33.19% per annum.
- ROST price at the close of July 25, 2024 was $141.11 and was inside the primary price channel.
- The secondary trend is increasing.
- The growth rate of the secondary trend is 6.59% per annum.
- ROST price at the close of July 25, 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 ROST 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 10, 2022
End date: July 25, 2024
a = 3.5913
b = 0.0008
s = 0.0799
Annual growth rate:
Exp(365 × b) – 1
= Exp(365 × 0.0008) – 1
= 33.19%
Price channel spread:
Exp(4 × s) – 1
= Exp(4 × 0.0799) – 1
= 37.64%
May 10, 2022 calculations
Top border of price channel:
Exp(Y703)
= Exp(a + b × X703 + 2 × s)
= Exp(a + b × 1,019 + 2 × s)
= Exp(3.5913 + 0.0008 × 1,019 + 2 × 0.0799)
= Exp(4.5512)
= $94.75
Bottom border of price channel:
Exp(Y703)
= Exp(a + b × X703 – 2 × s)
= Exp(a + b × 1,019 – 2 × s)
= Exp(3.5913 + 0.0008 × 1,019 – 2 × 0.0799)
= Exp(4.2318)
= $68.84
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(3.5913 + 0.0008 × 1,826 + 2 × 0.0799)
= Exp(5.1849)
= $178.56
Bottom border of price channel:
Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(3.5913 + 0.0008 × 1,826 – 2 × 0.0799)
= Exp(4.8655)
= $129.73
Description
- The primary trend is increasing.
- The growth rate of the primary trend is 33.19% per annum.
- ROST price at the close of July 25, 2024 was $141.11 and was inside the primary price channel.
Secondary Trend
Start date: December 11, 2023
End date: July 25, 2024
a = 4.6449
b = 0.0002
s = 0.0413
Annual growth rate:
Exp(365 × b) – 1
= Exp(365 × 0.0002) – 1
= 6.59%
Price channel spread:
Exp(4 × s) – 1
= Exp(4 × 0.0413) – 1
= 17.98%
December 11, 2023 calculations
Top border of price channel:
Exp(Y1,102)
= Exp(a + b × X1,102 + 2 × s)
= Exp(a + b × 1,599 + 2 × s)
= Exp(4.6449 + 0.0002 × 1,599 + 2 × 0.0413)
= Exp(5.0071)
= $149.47
Bottom border of price channel:
Exp(Y1,102)
= Exp(a + b × X1,102 – 2 × s)
= Exp(a + b × 1,599 – 2 × s)
= Exp(4.6449 + 0.0002 × 1,599 – 2 × 0.0413)
= Exp(4.8417)
= $126.69
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(4.6449 + 0.0002 × 1,826 + 2 × 0.0413)
= Exp(5.0467)
= $155.52
Bottom border of price channel:
Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(4.6449 + 0.0002 × 1,826 – 2 × 0.0413)
= Exp(4.8814)
= $131.82
Description
- The secondary trend is increasing.
- The growth rate of the secondary trend is 6.59% per annum.
- ROST price at the close of July 25, 2024 was inside the secondary price channel.