Stock Price Trends

Digital Realty Trust Inc (DLR)

Digital Realty Trust, Inc. is a real estate investment trust that invests in carrier-neutral data centers and provides colocation and peering services.

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 36.47% per annum.
  • DLR price at the close of July 26, 2024 was $145.65 and was inside the primary price channel.
  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 48.44% per annum.
  • DLR price at the close of July 26, 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 DLR 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: September 26, 2022
End date: July 26, 2024

a = 3.4857

b = 0.0009

s = 0.0677

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0009) – 1
= 36.47%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0677) – 1
= 31.09%

September 26, 2022 calculations

Top border of price channel:

Exp(Y797)
= Exp(a + b × X797 + 2 × s)
= Exp(a + b × 1,155 + 2 × s)
= Exp(3.4857 + 0.0009 × 1,155 + 2 × 0.0677)
= Exp(4.6049)
= $99.98

Bottom border of price channel:

Exp(Y797)
= Exp(a + b × X797 – 2 × s)
= Exp(a + b × 1,155 – 2 × s)
= Exp(3.4857 + 0.0009 × 1,155 – 2 × 0.0677)
= Exp(4.3342)
= $76.27

July 26, 2024 calculations

Top border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 + 2 × s)
= Exp(a + b × 1,824 + 2 × s)
= Exp(3.4857 + 0.0009 × 1,824 + 2 × 0.0677)
= Exp(5.1748)
= $176.77

Bottom border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,824 – 2 × s)
= Exp(3.4857 + 0.0009 × 1,824 – 2 × 0.0677)
= Exp(4.9041)
= $134.85

Description

  • The primary trend is increasing.
  • The growth rate of the primary trend is 36.47% per annum.
  • DLR price at the close of July 26, 2024 was $145.65 and was inside the primary price channel.

Secondary Trend

Start date: March 17, 2023
End date: July 26, 2024

a = 3.1087

b = 0.0011

s = 0.0586

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0011) – 1
= 48.44%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0586) – 1
= 26.41%

March 17, 2023 calculations

Top border of price channel:

Exp(Y916)
= Exp(a + b × X916 + 2 × s)
= Exp(a + b × 1,327 + 2 × s)
= Exp(3.1087 + 0.0011 × 1,327 + 2 × 0.0586)
= Exp(4.6620)
= $105.84

Bottom border of price channel:

Exp(Y916)
= Exp(a + b × X916 – 2 × s)
= Exp(a + b × 1,327 – 2 × s)
= Exp(3.1087 + 0.0011 × 1,327 – 2 × 0.0586)
= Exp(4.4276)
= $83.73

July 26, 2024 calculations

Top border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 + 2 × s)
= Exp(a + b × 1,824 + 2 × s)
= Exp(3.1087 + 0.0011 × 1,824 + 2 × 0.0586)
= Exp(5.1998)
= $181.24

Bottom border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,824 – 2 × s)
= Exp(3.1087 + 0.0011 × 1,824 – 2 × 0.0586)
= Exp(4.9655)
= $143.38

Description

  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 48.44% per annum.
  • DLR price at the close of July 26, 2024 was inside the secondary price channel.

See Also

Symbol

Company name

EQIX
Equinix Inc