Stock Price Trends

Inspire Medical Systems Inc (INSP)

Inspire Medical Systems, Inc., a medical technology company, focuses on the development and commercialization of minimally invasive solutions for patients with obstructive sleep apnea (OSA) in the United States and Europe. The company is headquartered in Golden Valley, Minnesota.

Stock Price Trends

Stock price trends estimated using linear regression.

Key facts

  • The primary trend is decreasing.
  • The decline rate of the primary trend is 3.33% per annum.
  • INSP price at the close of January 28, 2025 was $192.79 and was inside the primary price channel.
  • The secondary trend is decreasing.
  • The decline rate of the secondary trend is 19.52% per annum.
  • INSP price at the close of January 28, 2025 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 INSP 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: December 1, 2020
End date: January 28, 2025

a = 5.4393

b = -0.0001

s = 0.1825

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × -0.0001) – 1
= -3.33%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.1825) – 1
= 107.48%

December 1, 2020 calculations

Top border of price channel:

Exp(Y213)
= Exp(a + b × X213 + 2 × s)
= Exp(a + b × 307 + 2 × s)
= Exp(5.4393 + -0.0001 × 307 + 2 × 0.1825)
= Exp(5.7758)
= $322.39

Bottom border of price channel:

Exp(Y213)
= Exp(a + b × X213 – 2 × s)
= Exp(a + b × 307 – 2 × s)
= Exp(5.4393 + -0.0001 × 307 – 2 × 0.1825)
= Exp(5.0459)
= $155.39

January 28, 2025 calculations

Top border of price channel:

Exp(Y1,256)
= Exp(a + b × X1,256 + 2 × s)
= Exp(a + b × 1,826 + 2 × s)
= Exp(5.4393 + -0.0001 × 1,826 + 2 × 0.1825)
= Exp(5.6349)
= $280.02

Bottom border of price channel:

Exp(Y1,256)
= Exp(a + b × X1,256 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(5.4393 + -0.0001 × 1,826 – 2 × 0.1825)
= Exp(4.9050)
= $134.97

Description

  • The primary trend is decreasing.
  • The decline rate of the primary trend is 3.33% per annum.
  • INSP price at the close of January 28, 2025 was $192.79 and was inside the primary price channel.

Secondary Trend

Start date: November 30, 2022
End date: January 28, 2025

a = 6.1893

b = -0.0006

s = 0.1838

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × -0.0006) – 1
= -19.52%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.1838) – 1
= 108.60%

November 30, 2022 calculations

Top border of price channel:

Exp(Y716)
= Exp(a + b × X716 + 2 × s)
= Exp(a + b × 1,036 + 2 × s)
= Exp(6.1893 + -0.0006 × 1,036 + 2 × 0.1838)
= Exp(5.9405)
= $380.11

Bottom border of price channel:

Exp(Y716)
= Exp(a + b × X716 – 2 × s)
= Exp(a + b × 1,036 – 2 × s)
= Exp(6.1893 + -0.0006 × 1,036 – 2 × 0.1838)
= Exp(5.2052)
= $182.22

January 28, 2025 calculations

Top border of price channel:

Exp(Y1,256)
= Exp(a + b × X1,256 + 2 × s)
= Exp(a + b × 1,826 + 2 × s)
= Exp(6.1893 + -0.0006 × 1,826 + 2 × 0.1838)
= Exp(5.4704)
= $237.55

Bottom border of price channel:

Exp(Y1,256)
= Exp(a + b × X1,256 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(6.1893 + -0.0006 × 1,826 – 2 × 0.1838)
= Exp(4.7352)
= $113.88

Description

  • The secondary trend is decreasing.
  • The decline rate of the secondary trend is 19.52% per annum.
  • INSP price at the close of January 28, 2025 was inside the secondary price channel.