Chapter 11black star black starAppendix

11.1 Essential Risk Model Formulas

Here we collect the most important equations and identities.

11.1.1 Factor Model

We have n assets, m factors. Time is discrete. The master equation of returns according to factor models is

bold r Subscript t Baseline equals alpha plus bold upper B Subscript t Baseline bold f Subscript t Baseline plus epsilon Subscript t

where

  • bold r Subscript t: n-dimensional vector of asset total returns;
  • alpha: n-dimensional vector of expected returns;
  • epsilon Subscript t: n-dimensional vector of asset idio returns;
  • bold f Subscript t: -dimensional ...

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