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Optimal Time to Exchange Two Baskets

Published online by Cambridge University Press:  14 July 2016

Katsumasa Nishide*
Affiliation:
Yokohama National University
L. C. G. Rogers*
Affiliation:
University of Cambridge
*
Postal address: International Graduate School of Social Sciences, Yokohama National University, Yokohama 240-8501, Japan. Email address: [email protected]
∗∗Postal address: Statistical Laboratory, University of Cambridge, Cambridge CB3 0WB, UK.
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Abstract

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In this paper we present simple extensions of earlier works on the optimal time to exchange one basket of log Brownian assets for another. A superset and subset of the optimal stopping region in the case where both baskets consist of multiple assets are obtained. It is also shown that a conjecture of Hu and Øksendal (1998) is false except in the trivial case where all the assets in a basket are the same processes.

Type
Research Article
Copyright
Copyright © Applied Probability Trust 2011 

References

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