Search for tag: "stochastic processes"

Pairs Trading

Let's look at Pairs Trading as a way to get…

From  Richard Sowers 366 plays 0  

Ito Formula 4: Ito formula (multidimensional)

Let's understand the multidimensional Ito…

From  Richard Sowers 89 plays 0  

Ito Formula 3: Ito Formula (single-dimensional)

Let's prove the standard Ito formula (in one…

From  Richard Sowers 79 plays 0  

Ito Formula 2: Square of Brownian motion

Let's rigorously prove Ito's formula…

From  Richard Sowers 168 plays 0  

Ito Formula 1: Standard chain rule

Let's review the proof of the standard chain…

From  Richard Sowers 140 plays 0  

Ito Integration 4: Examples

Let's work through several examples of Ito…

From  Richard Sowers 96 plays 0  

Ito Integration 3: Properties

We understand some properties of Ito integrals…

From  Richard Sowers 87 plays 0  

Ito Integration 2: Definitions

We define Ito Integrals (Google Drive)

From  Richard Sowers 108 plays 0  

Ito Integration 1: Background

We cover martingales, which are the background…

From  Richard Sowers 164 plays 0  

Brownian Quadratic Variation

Let's look at the Quadratic Variation of…

From  Richard Sowers 106 plays 0  

Returns and LogReturns

Let's look at returns and log returns…

From  Richard Sowers 111 plays 0  

Information 3: Sigma algebras

Let's understand sigma algebras and how they…

From  Richard Sowers 111 plays 0  

Information 2: Properties

Let's understand some properties of…

From  Richard Sowers 114 plays 0  

Information 1: Definitions

Let's define conditional expectation and…

From  Richard Sowers 224 plays 0  

Brownian Motion 4: Information

Let's look at th evolution of information in…

From  Richard Sowers 176 plays 0  

Brownian Motion 3: Calculations

Let's do some calculations with Brownian…

From  Richard Sowers 171 plays 0  

Brownian Motion 2: Characterization

Let's characterize Brownian motion (Google…

From  Richard Sowers 145 plays 0  

Brownian Motion 1: Construction

Let's construct Brownian motion from a…

From  Richard Sowers 217 plays 0  

Gaussian 3: Moments

Gaussian moments (Google Drive)

From  Richard Sowers 175 plays 0  

Gaussian 2: Tails

Review of tails of Gaussians; (Google Drive)

From  Richard Sowers 175 plays 0  

Gaussian 1: Definition

Review of Gaussian densities (Google Drive)

From  Richard Sowers 270 plays 0