Stock Price Trends

Boyd Gaming Corporation (BYD)

Boyd Gaming Corporation is a multi-jurisdictional gaming company. The company is headquartered in Las Vegas, Nevada.

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 1.04% per annum.
  • BYD price at the close of November 20, 2024 was $71.76 and was inside the primary price channel.
  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 93.55% per annum.
  • BYD price at the close of November 20, 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 BYD 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 8, 2021
End date: October 24, 2024

a = 4.0542

b = 0.0000

s = 0.0847

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0000) – 1
= 1.04%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0847) – 1
= 40.33%

February 8, 2021 calculations

Top border of price channel:

Exp(Y304)
= Exp(a + b × X304 + 2 × s)
= Exp(a + b × 445 + 2 × s)
= Exp(4.0542 + 0.0000 × 445 + 2 × 0.0847)
= Exp(4.2362)
= $69.15

Bottom border of price channel:

Exp(Y304)
= Exp(a + b × X304 – 2 × s)
= Exp(a + b × 445 – 2 × s)
= Exp(4.0542 + 0.0000 × 445 – 2 × 0.0847)
= Exp(3.8974)
= $49.28

October 24, 2024 calculations

Top border of price channel:

Exp(Y1,238)
= Exp(a + b × X1,238 + 2 × s)
= Exp(a + b × 1,799 + 2 × s)
= Exp(4.0542 + 0.0000 × 1,799 + 2 × 0.0847)
= Exp(4.2746)
= $71.85

Bottom border of price channel:

Exp(Y1,238)
= Exp(a + b × X1,238 – 2 × s)
= Exp(a + b × 1,799 – 2 × s)
= Exp(4.0542 + 0.0000 × 1,799 – 2 × 0.0847)
= Exp(3.9358)
= $51.20

Description

  • The primary trend is increasing.
  • The growth rate of the primary trend is 1.04% per annum.
  • BYD price at the close of November 20, 2024 was $71.76 and was inside the primary price channel.

Secondary Trend

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

a = 0.9531

b = 0.0018

s = 0.0328

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0018) – 1
= 93.55%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0328) – 1
= 14.04%

May 22, 2024 calculations

Top border of price channel:

Exp(Y1,131)
= Exp(a + b × X1,131 + 2 × s)
= Exp(a + b × 1,644 + 2 × s)
= Exp(0.9531 + 0.0018 × 1,644 + 2 × 0.0328)
= Exp(3.9930)
= $54.22

Bottom border of price channel:

Exp(Y1,131)
= Exp(a + b × X1,131 – 2 × s)
= Exp(a + b × 1,644 – 2 × s)
= Exp(0.9531 + 0.0018 × 1,644 – 2 × 0.0328)
= Exp(3.8617)
= $47.55

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(0.9531 + 0.0018 × 1,826 + 2 × 0.0328)
= Exp(4.3223)
= $75.36

Bottom border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(0.9531 + 0.0018 × 1,826 – 2 × 0.0328)
= Exp(4.1909)
= $66.09

Description

  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 93.55% per annum.
  • BYD price at the close of November 20, 2024 was inside the secondary price channel.