# JPMorgan Chase & Co (JPM)

JPMorgan Chase & Co. is an American multinational investment bank and financial services holding company headquartered in New York City. JPMorgan Chase is incorporated in Delaware. As a Bulge Bracket bank, it is a major provider of various investment banking and financial services. It is one of America's Big Four banks, along with Bank of America, Citigroup, and Wells Fargo. JPMorgan Chase is considered to be a universal bank and a custodian bank. The J.P. Morgan brand is used by the investment banking, asset management, private banking, private wealth management, and treasury services divisions.

## 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 37.34% per annum.
- JPM price at the close of October 11, 2024 was $222.29 and was inside the primary price channel.
- The secondary trend is increasing.
- The growth rate of the secondary trend is 54.10% per annum.
- JPM price at the close of October 11, 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 JPM 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: June 13, 2022

End date: October 11, 2024

a = 3.7800

b = 0.0009

s = 0.0554

Annual growth rate:

Exp(365 × b) – 1

= Exp(365 × 0.0009) – 1

= 37.34%

Price channel spread:

Exp(4 × s) – 1

= Exp(4 × 0.0554) – 1

= 24.83%

#### June 13, 2022 calculations

Top border of price channel:

Exp(Y_{671})

= Exp(a + b × X_{671} + 2 × s)

= Exp(a + b × 973 + 2 × s)

= Exp(3.7800 + 0.0009 × 973 + 2 × 0.0554)

= Exp(4.7367)

= $114.06

Bottom border of price channel:

Exp(Y_{671})

= Exp(a + b × X_{671} – 2 × s)

= Exp(a + b × 973 – 2 × s)

= Exp(3.7800 + 0.0009 × 973 – 2 × 0.0554)

= Exp(4.5149)

= $91.37

#### October 11, 2024 calculations

Top border of price channel:

Exp(Y_{1,257})

= Exp(a + b × X_{1,257} + 2 × s)

= Exp(a + b × 1,824 + 2 × s)

= Exp(3.7800 + 0.0009 × 1,824 + 2 × 0.0554)

= Exp(5.4764)

= $239.00

Bottom border of price channel:

Exp(Y_{1,257})

= Exp(a + b × X_{1,257} – 2 × s)

= Exp(a + b × 1,824 – 2 × s)

= Exp(3.7800 + 0.0009 × 1,824 – 2 × 0.0554)

= Exp(5.2547)

= $191.46

#### Description

- The primary trend is increasing.
- The growth rate of the primary trend is 37.34% per annum.
- JPM price at the close of October 11, 2024 was $222.29 and was inside the primary price channel.

### Secondary Trend

Start date: August 22, 2023

End date: October 11, 2024

a = 3.2618

b = 0.0012

s = 0.0423

Annual growth rate:

Exp(365 × b) – 1

= Exp(365 × 0.0012) – 1

= 54.10%

Price channel spread:

Exp(4 × s) – 1

= Exp(4 × 0.0423) – 1

= 18.44%

#### August 22, 2023 calculations

Top border of price channel:

Exp(Y_{970})

= Exp(a + b × X_{970} + 2 × s)

= Exp(a + b × 1,408 + 2 × s)

= Exp(3.2618 + 0.0012 × 1,408 + 2 × 0.0423)

= Exp(5.0146)

= $150.60

Bottom border of price channel:

Exp(Y_{970})

= Exp(a + b × X_{970} – 2 × s)

= Exp(a + b × 1,408 – 2 × s)

= Exp(3.2618 + 0.0012 × 1,408 – 2 × 0.0423)

= Exp(4.8454)

= $127.16

#### October 11, 2024 calculations

Top border of price channel:

Exp(Y_{1,257})

= Exp(a + b × X_{1,257} + 2 × s)

= Exp(a + b × 1,824 + 2 × s)

= Exp(3.2618 + 0.0012 × 1,824 + 2 × 0.0423)

= Exp(5.5075)

= $246.53

Bottom border of price channel:

Exp(Y_{1,257})

= Exp(a + b × X_{1,257} – 2 × s)

= Exp(a + b × 1,824 – 2 × s)

= Exp(3.2618 + 0.0012 × 1,824 – 2 × 0.0423)

= Exp(5.3383)

= $208.16

#### Description

- The secondary trend is increasing.
- The growth rate of the secondary trend is 54.10% per annum.
- JPM price at the close of October 11, 2024 was inside the secondary price channel.