blacklitterman.org

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A new implementation of the Black-Litterman model in Excel is available on the implementations page.

An implementation of the Black-Litterman model in python and the worked example from the He and Litterman 1999 paper (Updated Jun 22 2012)

An excel spreadsheet showing the example worked in the He and Litterman paper (Updated Jun 26 2012)

New paper focusing on Tau and if you really need it (Updated 1 November 2010)

MATLAB and SciLAB implementations of the model

My paper on the Black-Litterman Model (Updated 16 February 2009)

An applet which implements the Black-Litterman model

What is the Black-Litterman Model

The Black-Litterman model is a model used to estimate inputs for portfolio optimization. It mixes different types of estimates, some based on historical data, others based on equilitibrium conditions to arrive at updated estimates. The Mixed Estimation Model was developed by Henri Theil in the early 1960's, but was applied to financial data by Fischer Black and Robert Litterman in the early 1990's.

The beauty of this model is that one can blend a variety of views specified in different ways, absolute or relative, with a given prior estimate to generate a new and updated posterior estimate which includes all the views. The diagram below shows what the mixing might look like in a single dimension. The updated posterior estimate should be centered more closely around the actual value, and should also have a lower variance(higher precision) that either the prior or conditional distribution.

Black-Litterman Model

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