Applications of Stochastic Portfolio Theory

  • E. Robert Fernholz
Part of the Applications of Mathematics book series (SMAP, volume 48)


In the previous chapters we have seen a number of theoretical applications of stochastic portfolio theory; in this chapter we shall consider some practical applications. As a first application, we show how the first-order model can be used in portfolio optimization. Next, we discuss a passive strategy based on a D p -weighted version of the S&P 500 Index that has been used for institutional accounts since 1996. Manager performance is related to the change in market diversity, and we analyze this relationship and consider its implications. We propose a direct method to measure the effect that changes in the distribution of capital have on portfolio return, and use this method to analyze the poor performance of value stocks during the 1990s. Our analysis indicates that the principal cause of this disappointing performance was a shift in the capital distribution that favored the larger stocks over the period considered.


Relative Return Portfolio Optimization Sharpe Ratio Portfolio Return Size Component 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media New York 2002

Authors and Affiliations

  • E. Robert Fernholz
    • 1
  1. 1.INTECHPrincetonUSA

Personalised recommendations