Stock Price Trends

Norwegian Cruise Line Holdings Ltd. (NCLH)

norwegian cruise line is the innovator in cruise travel with a 48-year history of breaking the boundaries of traditional cruising, most notably with the introduction of freestyle cruising which revolutionized the industry by giving guests more freedom and flexibility. today, norwegian invites guests to “cruise like a norwegian” on one of 13 purpose-built freestyle cruising ships, providing guests the opportunity to enjoy a relaxed, resort style cruise vacation on some of the newest and most contemporary ships at sea. recently, the line was named “europe’s leading cruise line” for the seventh consecutive year, as well as “caribbean’s leading cruise line” for the third time and “world’s leading large ship cruise line” for the second year by the world travel awards. the company recently took delivery of its most innovative ship to date, the 4,000-passenger norwegian getaway in the first quarter of 2014. the largest ship to homeport year-round in miami, norwegian getaway boasts 28 dining

Stock Price Trends

Stock price trends estimated using linear regression.

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Key facts

  • The primary trend is increasing.
  • The growth rate of the primary trend is 30.86% per annum.
  • NCLH price at the close of November 28, 2023 was $14.48 and was inside the primary price channel.
  • The secondary trend is decreasing.
  • The decline rate of the secondary trend is 74.49% per annum.
  • NCLH price at the close of November 28, 2023 was higher than the top border of the secondary price channel by $0.73 (5.32%). 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 NCLH 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:
End date:

a =

b =

s =

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × ) – 1
=

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × ) – 1
=

June 8, 2022 calculations

Top border of price channel:

Exp(Y)
= Exp(a + b × X + 2 × s)
= Exp(a + b × + 2 × s)
= Exp( + × + 2 × )
= Exp()
= $

Bottom border of price channel:

Exp(Y)
= Exp(a + b × X – 2 × s)
= Exp(a + b × – 2 × s)
= Exp( + × – 2 × )
= Exp()
= $

October 12, 2023 calculations

Top border of price channel:

Exp(Y)
= Exp(a + b × X + 2 × s)
= Exp(a + b × + 2 × s)
= Exp( + × + 2 × )
= Exp()
= $

Bottom border of price channel:

Exp(Y)
= Exp(a + b × X – 2 × s)
= Exp(a + b × – 2 × s)
= Exp( + × – 2 × )
= Exp()
= $


Secondary Trend

Start date:
End date:

a =

b =

s =

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × ) – 1
=

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × ) – 1
=

June 28, 2023 calculations

Top border of price channel:

Exp(Y)
= Exp(a + b × X + 2 × s)
= Exp(a + b × + 2 × s)
= Exp( + × + 2 × )
= Exp()
= $

Bottom border of price channel:

Exp(Y)
= Exp(a + b × X – 2 × s)
= Exp(a + b × – 2 × s)
= Exp( + × – 2 × )
= Exp()
= $

November 14, 2023 calculations

Top border of price channel:

Exp(Y)
= Exp(a + b × X + 2 × s)
= Exp(a + b × + 2 × s)
= Exp( + × + 2 × )
= Exp()
= $

Bottom border of price channel:

Exp(Y)
= Exp(a + b × X – 2 × s)
= Exp(a + b × – 2 × s)
= Exp( + × – 2 × )
= Exp()
= $