Stock Price Trends

Airbnb Inc (ABNB)

Airbnb, Inc. is an American company that operates an online marketplace for lodging, primarily homestays for vacation rentals, and tourism activities, based in San Francisco, 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 25.31% per annum.
  • ABNB price at the close of July 26, 2024 was $140.10 and was inside the primary price channel.
  • The secondary trend is decreasing.
  • The decline rate of the secondary trend is 28.54% per annum.
  • ABNB price at the close of July 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 ABNB 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 10, 2022
End date: July 24, 2024

a = 4.2504

b = 0.0006

s = 0.0928

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0006) – 1
= 25.31%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0928) – 1
= 44.97%

June 10, 2022 calculations

Top border of price channel:

Exp(Y377)
= Exp(a + b × X377 + 2 × s)
= Exp(a + b × 547 + 2 × s)
= Exp(4.2504 + 0.0006 × 547 + 2 × 0.0928)
= Exp(4.7743)
= $118.42

Bottom border of price channel:

Exp(Y377)
= Exp(a + b × X377 – 2 × s)
= Exp(a + b × 547 – 2 × s)
= Exp(4.2504 + 0.0006 × 547 – 2 × 0.0928)
= Exp(4.4029)
= $81.69

July 24, 2024 calculations

Top border of price channel:

Exp(Y908)
= Exp(a + b × X908 + 2 × s)
= Exp(a + b × 1,322 + 2 × s)
= Exp(4.2504 + 0.0006 × 1,322 + 2 × 0.0928)
= Exp(5.2534)
= $191.22

Bottom border of price channel:

Exp(Y908)
= Exp(a + b × X908 – 2 × s)
= Exp(a + b × 1,322 – 2 × s)
= Exp(4.2504 + 0.0006 × 1,322 – 2 × 0.0928)
= Exp(4.8820)
= $131.90

Description

  • The primary trend is increasing.
  • The growth rate of the primary trend is 25.31% per annum.
  • ABNB price at the close of July 26, 2024 was $140.10 and was inside the primary price channel.

Secondary Trend

Start date: March 1, 2024
End date: July 26, 2024

a = 6.1889

b = -0.0009

s = 0.0310

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × -0.0009) – 1
= -28.54%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0310) – 1
= 13.20%

March 1, 2024 calculations

Top border of price channel:

Exp(Y809)
= Exp(a + b × X809 + 2 × s)
= Exp(a + b × 1,177 + 2 × s)
= Exp(6.1889 + -0.0009 × 1,177 + 2 × 0.0310)
= Exp(5.1673)
= $175.44

Bottom border of price channel:

Exp(Y809)
= Exp(a + b × X809 – 2 × s)
= Exp(a + b × 1,177 – 2 × s)
= Exp(6.1889 + -0.0009 × 1,177 – 2 × 0.0310)
= Exp(5.0433)
= $154.97

July 26, 2024 calculations

Top border of price channel:

Exp(Y910)
= Exp(a + b × X910 + 2 × s)
= Exp(a + b × 1,324 + 2 × s)
= Exp(6.1889 + -0.0009 × 1,324 + 2 × 0.0310)
= Exp(5.0319)
= $153.23

Bottom border of price channel:

Exp(Y910)
= Exp(a + b × X910 – 2 × s)
= Exp(a + b × 1,324 – 2 × s)
= Exp(6.1889 + -0.0009 × 1,324 – 2 × 0.0310)
= Exp(4.9079)
= $135.36

Description

  • The secondary trend is decreasing.
  • The decline rate of the secondary trend is 28.54% per annum.
  • ABNB price at the close of July 26, 2024 was inside the secondary price channel.