統計数学セミナー
Seminar on Probability and Statistics
Home : Archive [ 2003 to 04 ] [ 2004 to 05 ] [ 2005 to 06 ] [ 2006 to 07 ] [ 2007 to 08 ] [ 2008 to 09 ] [ 2009 to 10 ] [ 2010 to 11 ] [ 2011 to 12 ] [ 2012 to 13 ] [ 2013 to 14 ] [ 2014 to 15 ]
Previous Seminar : Next Seminar

Seminar on Probability and Statistics
Monday December 14 2009
Tokyo 128
2:00-3:10 pm


On the stability of contingent claimes in incomplet models under statistical estimations.


L. VOSTRIKOVA
LAREMA, Departement de Mathematiques, Universite d’Angers, FRANCE

Abstract

In exponential semi-martingale setting for risky asset we estimate the difference of prices of options when initial physical measure P and corresponding martingale measure Q change to tilde{P} and tilde{Q} respectively. Then, we estimate L1 distance of option’s prices for corresponding parametric models with known and estimated parameters. The results are applied to exponential Levy models with special choise of martingale measure as Esscher measure, minimal entropy measure and f^q -minimal martingale measure. We illustrate our results by considering GMY and CGMY models.




Previous Seminar : Next Seminar
Seminar on Probability and Statistics