Stock Price Trends

PJT Partners Inc (PJT)

PJT Partners Inc., an investment bank, provides a variety of shareholder, restructuring and special situations, and capital market advisory services to corporations, financial backers, institutional investors and governments worldwide. The company is headquartered in New York, New York.

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 64.41% per annum.
  • PJT price at the close of November 19, 2024 was $155.54 and was inside the primary price channel.
  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 122.70% per annum.
  • PJT price at the close of November 19, 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 PJT 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 26, 2023
End date: November 19, 2024

a = 2.4530

b = 0.0014

s = 0.0633

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0014) – 1
= 64.41%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0633) – 1
= 28.83%

April 26, 2023 calculations

Top border of price channel:

Exp(Y862)
= Exp(a + b × X862 + 2 × s)
= Exp(a + b × 1,253 + 2 × s)
= Exp(2.4530 + 0.0014 × 1,253 + 2 × 0.0633)
= Exp(4.2865)
= $72.71

Bottom border of price channel:

Exp(Y862)
= Exp(a + b × X862 – 2 × s)
= Exp(a + b × 1,253 – 2 × s)
= Exp(2.4530 + 0.0014 × 1,253 – 2 × 0.0633)
= Exp(4.0332)
= $56.44

November 19, 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(2.4530 + 0.0014 × 1,826 + 2 × 0.0633)
= Exp(5.0670)
= $158.70

Bottom border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(2.4530 + 0.0014 × 1,826 – 2 × 0.0633)
= Exp(4.8137)
= $123.19

Description

  • The primary trend is increasing.
  • The growth rate of the primary trend is 64.41% per annum.
  • PJT price at the close of November 19, 2024 was $155.54 and was inside the primary price channel.

Secondary Trend

Start date: March 25, 2024
End date: November 19, 2024

a = 1.0155

b = 0.0022

s = 0.0389

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0022) – 1
= 122.70%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0389) – 1
= 16.84%

March 25, 2024 calculations

Top border of price channel:

Exp(Y1,091)
= Exp(a + b × X1,091 + 2 × s)
= Exp(a + b × 1,587 + 2 × s)
= Exp(1.0155 + 0.0022 × 1,587 + 2 × 0.0389)
= Exp(4.5745)
= $96.98

Bottom border of price channel:

Exp(Y1,091)
= Exp(a + b × X1,091 – 2 × s)
= Exp(a + b × 1,587 – 2 × s)
= Exp(1.0155 + 0.0022 × 1,587 – 2 × 0.0389)
= Exp(4.4188)
= $83.00

November 19, 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(1.0155 + 0.0022 × 1,826 + 2 × 0.0389)
= Exp(5.0987)
= $163.81

Bottom border of price channel:

Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(1.0155 + 0.0022 × 1,826 – 2 × 0.0389)
= Exp(4.9431)
= $140.20

Description

  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 122.70% per annum.
  • PJT price at the close of November 19, 2024 was inside the secondary price channel.