Stock Price Trends

Insperity Inc (NSP)

Insperity, Inc. provides human resources (HR) and business solutions to improve business performance for small and medium-sized businesses. The company is headquartered in Kingwood, Texas.

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 9.01% per annum.
  • NSP price at the close of July 25, 2024 was $100.53 and was inside the primary price channel.
  • The secondary trend is decreasing.
  • The decline rate of the secondary trend is 26.74% per annum.
  • NSP price at the close of July 25, 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 NSP 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: October 31, 2022
End date: July 25, 2024

a = 5.0623

b = -0.0003

s = 0.0697

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × -0.0003) – 1
= -9.01%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0697) – 1
= 32.16%

October 31, 2022 calculations

Top border of price channel:

Exp(Y823)
= Exp(a + b × X823 + 2 × s)
= Exp(a + b × 1,193 + 2 × s)
= Exp(5.0623 + -0.0003 × 1,193 + 2 × 0.0697)
= Exp(4.8930)
= $133.35

Bottom border of price channel:

Exp(Y823)
= Exp(a + b × X823 – 2 × s)
= Exp(a + b × 1,193 – 2 × s)
= Exp(5.0623 + -0.0003 × 1,193 – 2 × 0.0697)
= Exp(4.6142)
= $100.91

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(5.0623 + -0.0003 × 1,826 + 2 × 0.0697)
= Exp(4.7292)
= $113.21

Bottom border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(5.0623 + -0.0003 × 1,826 – 2 × 0.0697)
= Exp(4.4504)
= $85.66

Description

  • The primary trend is decreasing.
  • The decline rate of the primary trend is 9.01% per annum.
  • NSP price at the close of July 25, 2024 was $100.53 and was inside the primary price channel.

Secondary Trend

Start date: November 20, 2023
End date: July 25, 2024

a = 6.0916

b = -0.0009

s = 0.0537

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × -0.0009) – 1
= -26.74%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0537) – 1
= 23.94%

November 20, 2023 calculations

Top border of price channel:

Exp(Y1,088)
= Exp(a + b × X1,088 + 2 × s)
= Exp(a + b × 1,578 + 2 × s)
= Exp(6.0916 + -0.0009 × 1,578 + 2 × 0.0537)
= Exp(4.8539)
= $128.23

Bottom border of price channel:

Exp(Y1,088)
= Exp(a + b × X1,088 – 2 × s)
= Exp(a + b × 1,578 – 2 × s)
= Exp(6.0916 + -0.0009 × 1,578 – 2 × 0.0537)
= Exp(4.6392)
= $103.46

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(6.0916 + -0.0009 × 1,826 + 2 × 0.0537)
= Exp(4.6425)
= $103.80

Bottom border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(6.0916 + -0.0009 × 1,826 – 2 × 0.0537)
= Exp(4.4278)
= $83.75

Description

  • The secondary trend is decreasing.
  • The decline rate of the secondary trend is 26.74% per annum.
  • NSP price at the close of July 25, 2024 was inside the secondary price channel.