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Notes and Comments: The numeraire portfolio in financial markets modeled by a multi-dimensional jump diffusion process

Notes and Comments: The numeraire portfolio in financial markets modeled by a multi-dimensional jump diffusion process
Notes and Comments: The numeraire portfolio in financial markets modeled by a multi-dimensional jump diffusion process
In continuous time, we study a financial market which is free of arbitrage opportunities but incomplete under the physical probability measure P. Thus one has several choices of equivalent martingale measures. In the present paper, the (unique) martingale measure P* is studied which is defined by the concept of the numeraire portfolio. The choice of P* can be justified by a change of numeraire in place of a change of measure.
1127-1035
153-166
Korn, Ralf
3d04ad26-de74-4522-a9f9-3c5c9ab6c9cc
Oertel, Frank
5026be9a-a787-477f-bf94-23c72bd08ef5
Schäl, Manfred
53f0488b-db57-49e2-9da2-451145a45ede
Korn, Ralf
3d04ad26-de74-4522-a9f9-3c5c9ab6c9cc
Oertel, Frank
5026be9a-a787-477f-bf94-23c72bd08ef5
Schäl, Manfred
53f0488b-db57-49e2-9da2-451145a45ede

Korn, Ralf, Oertel, Frank and Schäl, Manfred (2003) Notes and Comments: The numeraire portfolio in financial markets modeled by a multi-dimensional jump diffusion process. Decisions in Economics and Finance, 26 (2), 153-166. (doi:10.1007/s10203-003-0040-z).

Record type: Article

Abstract

In continuous time, we study a financial market which is free of arbitrage opportunities but incomplete under the physical probability measure P. Thus one has several choices of equivalent martingale measures. In the present paper, the (unique) martingale measure P* is studied which is defined by the concept of the numeraire portfolio. The choice of P* can be justified by a change of numeraire in place of a change of measure.

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Published date: November 2003
Organisations: Mathematical Sciences

Identifiers

Local EPrints ID: 347168
URI: http://eprints.soton.ac.uk/id/eprint/347168
ISSN: 1127-1035
PURE UUID: 8c441a24-111e-4125-b71c-f668ac391a8c

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Date deposited: 17 Jan 2013 16:45
Last modified: 14 Mar 2024 12:45

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Contributors

Author: Ralf Korn
Author: Frank Oertel
Author: Manfred Schäl

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