Stock Price Trends

Bank of New York Mellon (BK)

The Bank of New York Mellon Corporation, commonly known as BNY Mellon, is a multinational American investment banking services holding company headquartered in New York City.

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 47.95% per annum.
  • BK price at the close of July 25, 2024 was $64.81 and was inside the primary price channel.
  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 31.81% per annum.
  • BK price at the close of July 25, 2024 was higher than the top border of the secondary price channel by $0.95 (1.48%).

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 BK 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: April 25, 2023
End date: July 25, 2024

a = 2.1697

b = 0.0011

s = 0.0471

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0011) – 1
= 47.95%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0471) – 1
= 20.71%

April 25, 2023 calculations

Top border of price channel:

Exp(Y943)
= Exp(a + b × X943 + 2 × s)
= Exp(a + b × 1,369 + 2 × s)
= Exp(2.1697 + 0.0011 × 1,369 + 2 × 0.0471)
= Exp(3.7329)
= $41.80

Bottom border of price channel:

Exp(Y943)
= Exp(a + b × X943 – 2 × s)
= Exp(a + b × 1,369 – 2 × s)
= Exp(2.1697 + 0.0011 × 1,369 – 2 × 0.0471)
= Exp(3.5447)
= $34.63

July 25, 2024 calculations

Top border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 + 2 × s)
= Exp(a + b × 1,826 + 2 × s)
= Exp(2.1697 + 0.0011 × 1,826 + 2 × 0.0471)
= Exp(4.2233)
= $68.26

Bottom border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(2.1697 + 0.0011 × 1,826 – 2 × 0.0471)
= Exp(4.0351)
= $56.55

Description

  • The primary trend is increasing.
  • The growth rate of the primary trend is 47.95% per annum.
  • BK price at the close of July 25, 2024 was $64.81 and was inside the primary price channel.

Secondary Trend

Start date: January 12, 2024
End date: July 25, 2024

a = 2.7316

b = 0.0008

s = 0.0218

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0008) – 1
= 31.81%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0218) – 1
= 9.09%

January 12, 2024 calculations

Top border of price channel:

Exp(Y1,124)
= Exp(a + b × X1,124 + 2 × s)
= Exp(a + b × 1,631 + 2 × s)
= Exp(2.7316 + 0.0008 × 1,631 + 2 × 0.0218)
= Exp(4.0092)
= $55.10

Bottom border of price channel:

Exp(Y1,124)
= Exp(a + b × X1,124 – 2 × s)
= Exp(a + b × 1,631 – 2 × s)
= Exp(2.7316 + 0.0008 × 1,631 – 2 × 0.0218)
= Exp(3.9222)
= $50.51

July 25, 2024 calculations

Top border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 + 2 × s)
= Exp(a + b × 1,826 + 2 × s)
= Exp(2.7316 + 0.0008 × 1,826 + 2 × 0.0218)
= Exp(4.1568)
= $63.86

Bottom border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(2.7316 + 0.0008 × 1,826 – 2 × 0.0218)
= Exp(4.0697)
= $58.54

Description

  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 31.81% per annum.
  • BK price at the close of July 25, 2024 was higher than the top border of the secondary price channel by $0.95 (1.48%).