Financial and Actuarial Mathematics: Time Table
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On Tuesday, 16.1.2001 there will be NO lecture.
The talk by Eva Strasser will be given on Tuesday, 23.1.2001:
Eva Strasser:
"Change of Numeraire and the Numeraire Portfolio in Financial Models".
Abstract:
In my master thesis, I consider market models consisting of finitely many
assets, which are modeled by continuous semimartingales. A numeraire is a
strictly positive security, e.g. a fixed-interest security or, more
generally, any security modeled by a strictly positive semimartingale. A
tradable numeraire is any strictly positive, continuous semimartingale
attainable in the market.
One of the aims in my master thesis is to analyse the effects of a change
of numeraire on the most important properties of a market model. Another
important topic is the so-called numeraire portfolio, which is a special
case of an inverse local martingale density. A main result of my master
thesis is an existence criterion for the numeraire portfolio. It turns out
that a certain structure condition of the market is necessary and
sufficient for the existence of the numeraire portfolio. This result is
based on the basic existence criterion for local martingale densities by
Schweizer (1994). Moreover, I discuss some properties of the numeraire
portfolio along the line of Becherer (1999).
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Web page:
http://www.fam.tuwien.ac.at/schedule/