Stock Price Trends

Carnival Corporation (CCL)

Carnival Corporation & plc is a British-American cruise operator, currently the world's largest travel leisure company, with a combined fleet of over 100 vessels across 10 cruise line brands.

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 49.18% per annum.
  • CCL price at the close of April 26, 2024 was $15.08 and was inside the primary price channel.
  • The secondary trend is decreasing.
  • The decline rate of the secondary trend is 41.48% per annum.
  • CCL price at the close of April 26, 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 CCL 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 13, 2022
End date: April 26, 2024

a = 0.8675

b = 0.0011

s = 0.1631

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0011) – 1
= 49.18%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.1631) – 1
= 91.99%

June 13, 2022 calculations

Top border of price channel:

Exp(Y788)
= Exp(a + b × X788 + 2 × s)
= Exp(a + b × 1,141 + 2 × s)
= Exp(0.8675 + 0.0011 × 1,141 + 2 × 0.1631)
= Exp(2.4440)
= $11.52

Bottom border of price channel:

Exp(Y788)
= Exp(a + b × X788 – 2 × s)
= Exp(a + b × 1,141 – 2 × s)
= Exp(0.8675 + 0.0011 × 1,141 – 2 × 0.1631)
= Exp(1.7917)
= $6.00

April 26, 2024 calculations

Top border of price channel:

Exp(Y1,258)
= Exp(a + b × X1,258 + 2 × s)
= Exp(a + b × 1,824 + 2 × s)
= Exp(0.8675 + 0.0011 × 1,824 + 2 × 0.1631)
= Exp(3.1924)
= $24.35

Bottom border of price channel:

Exp(Y1,258)
= Exp(a + b × X1,258 – 2 × s)
= Exp(a + b × 1,824 – 2 × s)
= Exp(0.8675 + 0.0011 × 1,824 – 2 × 0.1631)
= Exp(2.5401)
= $12.68

Description

  • The primary trend is increasing.
  • The growth rate of the primary trend is 49.18% per annum.
  • CCL price at the close of April 26, 2024 was $15.08 and was inside the primary price channel.

Secondary Trend

Start date: December 6, 2023
End date: April 26, 2024

a = 5.3659

b = -0.0015

s = 0.0487

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × -0.0015) – 1
= -41.48%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0487) – 1
= 21.53%

December 6, 2023 calculations

Top border of price channel:

Exp(Y1,161)
= Exp(a + b × X1,161 + 2 × s)
= Exp(a + b × 1,682 + 2 × s)
= Exp(5.3659 + -0.0015 × 1,682 + 2 × 0.0487)
= Exp(2.9945)
= $19.97

Bottom border of price channel:

Exp(Y1,161)
= Exp(a + b × X1,161 – 2 × s)
= Exp(a + b × 1,682 – 2 × s)
= Exp(5.3659 + -0.0015 × 1,682 – 2 × 0.0487)
= Exp(2.7995)
= $16.44

April 26, 2024 calculations

Top border of price channel:

Exp(Y1,258)
= Exp(a + b × X1,258 + 2 × s)
= Exp(a + b × 1,824 + 2 × s)
= Exp(5.3659 + -0.0015 × 1,824 + 2 × 0.0487)
= Exp(2.7860)
= $16.22

Bottom border of price channel:

Exp(Y1,258)
= Exp(a + b × X1,258 – 2 × s)
= Exp(a + b × 1,824 – 2 × s)
= Exp(5.3659 + -0.0015 × 1,824 – 2 × 0.0487)
= Exp(2.5911)
= $13.34

Description

  • The secondary trend is decreasing.
  • The decline rate of the secondary trend is 41.48% per annum.
  • CCL price at the close of April 26, 2024 was inside the secondary price channel.