# Broadcom Inc (AVGO)

Broadcom Inc. is an American designer, developer, manufacturer and global supplier of a wide range of semiconductor and infrastructure software products. Broadcom's product offerings serve the data center, networking, software, broadband, wireless, and storage and industrial markets.

## 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 105.46% per annum.
- AVGO price at the close of July 23, 2024 was $163.77 and was inside the primary price channel.
- The secondary trend is increasing.
- The growth rate of the secondary trend is 133.11% per annum.
- AVGO price at the close of July 23, 2024 was inside the secondary price channel.

### Linear Regression Model

Model equation:

Y_{i} = α + β × X_{i} + ε_{i}

Top border of price channel:

Exp(Y_{i}) = Exp(a + b × X_{i} + 2 × s)

Bottom border of price channel:

Exp(Y_{i}) = Exp(a + b × X_{i} – 2 × s)

where:

i - observation number

Y_{i} - natural logarithm of AVGO price

X_{i} - time index, 1 day interval

σ - standard deviation of ε_{i}

a - estimator of α

b - estimator of β

s - estimator of σ

Exp() - calculates the exponent of e

### Primary Trend

Start date: September 20, 2022

End date: July 23, 2024

a = 1.4888

b = 0.0020

s = 0.0688

Annual growth rate:

Exp(365 × b) – 1

= Exp(365 × 0.0020) – 1

= 105.46%

Price channel spread:

Exp(4 × s) – 1

= Exp(4 × 0.0688) – 1

= 31.66%

#### September 20, 2022 calculations

Top border of price channel:

Exp(Y_{796})

= Exp(a + b × X_{796} + 2 × s)

= Exp(a + b × 1,154 + 2 × s)

= Exp(1.4888 + 0.0020 × 1,154 + 2 × 0.0688)

= Exp(3.9031)

= $49.55

Bottom border of price channel:

Exp(Y_{796})

= Exp(a + b × X_{796} – 2 × s)

= Exp(a + b × 1,154 – 2 × s)

= Exp(1.4888 + 0.0020 × 1,154 – 2 × 0.0688)

= Exp(3.6280)

= $37.64

#### July 23, 2024 calculations

Top border of price channel:

Exp(Y_{1,257})

= Exp(a + b × X_{1,257} + 2 × s)

= Exp(a + b × 1,826 + 2 × s)

= Exp(1.4888 + 0.0020 × 1,826 + 2 × 0.0688)

= Exp(5.2289)

= $186.58

Bottom border of price channel:

Exp(Y_{1,257})

= Exp(a + b × X_{1,257} – 2 × s)

= Exp(a + b × 1,826 – 2 × s)

= Exp(1.4888 + 0.0020 × 1,826 – 2 × 0.0688)

= Exp(4.9538)

= $141.71

#### Description

- The primary trend is increasing.
- The growth rate of the primary trend is 105.46% per annum.
- AVGO price at the close of July 23, 2024 was $163.77 and was inside the primary price channel.

### Secondary Trend

Start date: September 12, 2023

End date: July 23, 2024

a = 0.8974

b = 0.0023

s = 0.0628

Annual growth rate:

Exp(365 × b) – 1

= Exp(365 × 0.0023) – 1

= 133.11%

Price channel spread:

Exp(4 × s) – 1

= Exp(4 × 0.0628) – 1

= 28.55%

#### September 12, 2023 calculations

Top border of price channel:

Exp(Y_{1,041})

= Exp(a + b × X_{1,041} + 2 × s)

= Exp(a + b × 1,511 + 2 × s)

= Exp(0.8974 + 0.0023 × 1,511 + 2 × 0.0628)

= Exp(4.5265)

= $92.44

Bottom border of price channel:

Exp(Y_{1,041})

= Exp(a + b × X_{1,041} – 2 × s)

= Exp(a + b × 1,511 – 2 × s)

= Exp(0.8974 + 0.0023 × 1,511 – 2 × 0.0628)

= Exp(4.2753)

= $71.91

#### July 23, 2024 calculations

Top border of price channel:

Exp(Y_{1,257})

= Exp(a + b × X_{1,257} + 2 × s)

= Exp(a + b × 1,826 + 2 × s)

= Exp(0.8974 + 0.0023 × 1,826 + 2 × 0.0628)

= Exp(5.2569)

= $191.89

Bottom border of price channel:

Exp(Y_{1,257})

= Exp(a + b × X_{1,257} – 2 × s)

= Exp(a + b × 1,826 – 2 × s)

= Exp(0.8974 + 0.0023 × 1,826 – 2 × 0.0628)

= Exp(5.0057)

= $149.27

#### Description

- The secondary trend is increasing.
- The growth rate of the secondary trend is 133.11% per annum.
- AVGO price at the close of July 23, 2024 was inside the secondary price channel.