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research article

Consistent Market Extensions under the Benchmark Approach

Filipovic, Damir  
2009
Mathematical Finance

The existence of the growth optimal portfolio (GOP), also known as the Kelly portfolio, is vital for a financial market to be meaningful. The GOP, if it exists, is uniquely determined by the market parameters of the primary security accounts. However, markets may develop and new security accounts become tradable. What happens to the GOP if the original market is extended? In this paper we provide a complete characterization of market extensions which are consistent with the existence of a GOP. We show that a three fund separation theorem applies for the extended GOP. This includes, in particular, the introduction of a locally risk free security, the savings account. We give necessary and sufficient conditions for a consistent exogenous specification of the prevailing short rates.

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Type
research article
DOI
10.1111/j.1467-9965.2008.00356.x
Author(s)
Filipovic, Damir  
Date Issued

2009

Publisher

Wiley-Blackwell

Published in
Mathematical Finance
Volume

19

Issue

1

Start page

41

End page

52

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
CSF  
Available on Infoscience
April 27, 2010
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/49783
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