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 38.73% per annum.
  • ABNB price at the close of May 8, 2024 was $157.90 and was inside the primary price channel.
  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 84.92% per annum.
  • ABNB price at the close of May 8, 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 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: October 31, 2022
End date: May 8, 2024

a = 3.9716

b = 0.0009

s = 0.0850

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0009) – 1
= 38.73%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0850) – 1
= 40.51%

October 31, 2022 calculations

Top border of price channel:

Exp(Y475)
= Exp(a + b × X475 + 2 × s)
= Exp(a + b × 690 + 2 × s)
= Exp(3.9716 + 0.0009 × 690 + 2 × 0.0850)
= Exp(4.7606)
= $116.82

Bottom border of price channel:

Exp(Y475)
= Exp(a + b × X475 – 2 × s)
= Exp(a + b × 690 – 2 × s)
= Exp(3.9716 + 0.0009 × 690 – 2 × 0.0850)
= Exp(4.4205)
= $83.14

May 8, 2024 calculations

Top border of price channel:

Exp(Y856)
= Exp(a + b × X856 + 2 × s)
= Exp(a + b × 1,245 + 2 × s)
= Exp(3.9716 + 0.0009 × 1,245 + 2 × 0.0850)
= Exp(5.2584)
= $192.18

Bottom border of price channel:

Exp(Y856)
= Exp(a + b × X856 – 2 × s)
= Exp(a + b × 1,245 – 2 × s)
= Exp(3.9716 + 0.0009 × 1,245 – 2 × 0.0850)
= Exp(4.9183)
= $136.77

Description

  • The primary trend is increasing.
  • The growth rate of the primary trend is 38.73% per annum.
  • ABNB price at the close of May 8, 2024 was $157.90 and was inside the primary price channel.

Secondary Trend

Start date: October 13, 2023
End date: May 8, 2024

a = 3.0451

b = 0.0017

s = 0.0425

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0017) – 1
= 84.92%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0425) – 1
= 18.53%

October 13, 2023 calculations

Top border of price channel:

Exp(Y714)
= Exp(a + b × X714 + 2 × s)
= Exp(a + b × 1,037 + 2 × s)
= Exp(3.0451 + 0.0017 × 1,037 + 2 × 0.0425)
= Exp(4.8767)
= $131.20

Bottom border of price channel:

Exp(Y714)
= Exp(a + b × X714 – 2 × s)
= Exp(a + b × 1,037 – 2 × s)
= Exp(3.0451 + 0.0017 × 1,037 – 2 × 0.0425)
= Exp(4.7067)
= $110.68

May 8, 2024 calculations

Top border of price channel:

Exp(Y856)
= Exp(a + b × X856 + 2 × s)
= Exp(a + b × 1,245 + 2 × s)
= Exp(3.0451 + 0.0017 × 1,245 + 2 × 0.0425)
= Exp(5.2270)
= $186.24

Bottom border of price channel:

Exp(Y856)
= Exp(a + b × X856 – 2 × s)
= Exp(a + b × 1,245 – 2 × s)
= Exp(3.0451 + 0.0017 × 1,245 – 2 × 0.0425)
= Exp(5.0570)
= $157.12

Description

  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 84.92% per annum.
  • ABNB price at the close of May 8, 2024 was inside the secondary price channel.