Standard Brownian Motion / Wiener Process

1. Context

In this video, we take a look at the Standard Brownian Motion (Wiener Process) – an important building block that we encounter in the four readings on Interest Rate Models (FRM Part 2, Market Risk). Using the properties of normal distribution as a starting point, we explore properties of the Wiener Process, both for it’s changes over small time increments as well as its level at a future time slice. The details of the reading in which this topic appears are given below:

AreaMarket Risk, Valuation and Risk Models
ReadingTerm Structure Models
ReferenceBruce Tuckman and Angel Serrat, Chapter 7-10. Term Structure Models In Fixed Income Securities, 3rd Edition,, (Hoboken, NJ: John Wiley & Sons, 2011).

2. Video