Stock Price Trends

Iron Mountain Incorporated (IRM)

Iron Mountain Inc. (NYSE: IRM) is an American enterprise information management services company founded in 1951 and headquartered in Boston, Massachusetts.

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 85.03% per annum.
  • IRM price at the close of July 26, 2024 was $98.50 and was inside the primary price channel.
  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 298.38% per annum.
  • IRM 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 IRM 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, 2023
End date: July 26, 2024

a = 1.4605

b = 0.0017

s = 0.0406

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0017) – 1
= 85.03%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0406) – 1
= 17.65%

September 26, 2023 calculations

Top border of price channel:

Exp(Y1,048)
= Exp(a + b × X1,048 + 2 × s)
= Exp(a + b × 1,520 + 2 × s)
= Exp(1.4605 + 0.0017 × 1,520 + 2 × 0.0406)
= Exp(4.1043)
= $60.60

Bottom border of price channel:

Exp(Y1,048)
= Exp(a + b × X1,048 – 2 × s)
= Exp(a + b × 1,520 – 2 × s)
= Exp(1.4605 + 0.0017 × 1,520 – 2 × 0.0406)
= Exp(3.9418)
= $51.51

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(1.4605 + 0.0017 × 1,824 + 2 × 0.0406)
= Exp(4.6168)
= $101.17

Bottom border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,824 – 2 × s)
= Exp(1.4605 + 0.0017 × 1,824 – 2 × 0.0406)
= Exp(4.4543)
= $85.99

Description

  • The primary trend is increasing.
  • The growth rate of the primary trend is 85.03% per annum.
  • IRM price at the close of July 26, 2024 was $98.50 and was inside the primary price channel.

Secondary Trend

Start date: May 22, 2024
End date: July 26, 2024

a = -2.2976

b = 0.0038

s = 0.0180

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0038) – 1
= 298.38%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0180) – 1
= 7.45%

May 22, 2024 calculations

Top border of price channel:

Exp(Y1,213)
= Exp(a + b × X1,213 + 2 × s)
= Exp(a + b × 1,759 + 2 × s)
= Exp(-2.2976 + 0.0038 × 1,759 + 2 × 0.0180)
= Exp(4.3995)
= $81.41

Bottom border of price channel:

Exp(Y1,213)
= Exp(a + b × X1,213 – 2 × s)
= Exp(a + b × 1,759 – 2 × s)
= Exp(-2.2976 + 0.0038 × 1,759 – 2 × 0.0180)
= Exp(4.3277)
= $75.77

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(-2.2976 + 0.0038 × 1,824 + 2 × 0.0180)
= Exp(4.6457)
= $104.13

Bottom border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,824 – 2 × s)
= Exp(-2.2976 + 0.0038 × 1,824 – 2 × 0.0180)
= Exp(4.5738)
= $96.91

Description

  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 298.38% per annum.
  • IRM price at the close of July 26, 2024 was inside the secondary price channel.